I B.Tech Supplementary Examinations, November 2009 APPLIED MECHANICS

Code No: Y0122/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
APPLIED MECHANICS
(Civil Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) The resultant of two forces, one of which is double the other is 250 N If the
direction of the larger force is reversed and the other remains Unaltered, the
resultant reduces to 200 N. Determine the magnitude of the forces and the
angle between the forces.
(b) A roller of radius r = 200 mm and weight 1000N is to be pulled over a curb of
height 250 mm by a horizontal force P applied to the end of a string wound
tightly around the circumference of the roller. Find the magnitude of P re-
quired to start the roller move over the curb. What is the least pull P through
the centre of the wheel to just turn the Roller over the curb? [8+8]
2. (a) A screw jack has a pitch of 6 mm, and major diameter 30 mm. A lever 600
mm long is used to raise a load of 20 kN. If the coefficient of friction is 0.15,
Calculate the force required to be applied at the end of the lever
i. to raise the load
ii. to lower the load. Also calculate the efficiency of the jack.
(b) A vertical wall weighs 500 N. It is subjected to a lateral force of 3 kN. Will it
be safe against sliding on a horizontal plane on which μ=0.01. [12+4]
3. (a) The centre of two pulleys of diameters 80 cm and 40 cm are 5.5 m apart. Find
the length of the belt required if the two pulleys are to rotate in the opposite
directions. Find the angles of lap for the two pulleys.
(b) An engine, running at 250 r.p.m. drives a line shaft by means of a belt. The
engine pulley is 800 mm diameter and the pulley on the line shaft being 550
mm. A 700 mm diameter pulley on the line shaft drives a 250 mm diameter
pulley keyed to a dynamo shaft. Find the speed of the dynamo shaft, when
i. there is no slip.
ii. there is a slip of 3% at each drive. [8+8]
4. (a) Determine the centroid of the built-up section shown in figure 4a and find the
moment of inertia and radius of gyration about the horizontal centroidal axis.
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Code No: Y0122/R07 Set No. 1
Figure 4a
(b) What is polar moment of inertia? [12+4]
5. Calculate the mass moment of inertia of the frustum of the cone shown in figure
5. With respect to the axis Z-Z and A-B. Assume the density of the cone as 2500
kg/m3. [16]
Figure 5
6. Bus A is traveling east at the constant speed of 10 m/sec. When bus A crosses
the intersection as shown in figure 6, the car B starts from rest 35 m North of the
intersection and moves south with a constant acceleration of 1.2 m/s2. Determine
the position, velocity and acceleration of B relative to A, 5 sec after A crosses the
intersection. [16]
2 of 3
Code No: Y0122/R07 Set No. 1
Figure 6
7. An elevator weighing 5000 N is ascending with an acceleration of 3 m/s2. During
this ascent, its operator whose weight is 700 N is standing on the weighing pan
placed on the floor. What is the weighing pan reading? What will be the total
tension in the cables of elevator during this motion? [16]
8. A vertical shaft of 5 mm diameter is 200 mm long and is supported in long bearings
at its ends. A disc of mass 50 kg is attached to the centre of the shaft. Neglecting
any increase in stiffness due to the attachment of disc to the shaft, find the critical
speed of rotation and the maximum bending stress when the shaft is rotating at
75% of critical speed. The centre of the disc is 0.25 mm from the geometric axis of
the shaft. E = 200 GN/m2. [16]
? ? ? ? ?
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Code No: Y0122/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
APPLIED MECHANICS
(Civil Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Differentiate between scalar and vector quantities?
(b) Find the moment of the 100kN force about A and O. Shown in figure 1b.
[4+12]
Figure 1b
2. (a) The block a shown in the figure 2b weights 2000N. The cord attached to A
passes over a frictionless pulley and supports a weight equal to 800 N. The
value of coefficient of friction between A and the horizontal plane is 0.35. Solve
for horizontal force P.
i. if motion is impending towards the left, and
ii. if the motion is impending towards the right.
(b) In a screw jack of mean diameter 10 cm, the effort required at the root of the
screw to lift a particular load is 100 N. Determine the effort required to be
applied at the end of a lever of length 1 m. [12+4]
Figure 2b
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Code No: Y0122/R07 Set No. 2
3. The follwing data refer to an open belt driver: Diameter of larger pulley = 400
mm, Diameter of smaller pulley is 250 mm, Distance between two pulleys = 2
m, coefficient of friction Between smaller pulley surface and belt = 0.4, Maximum
tension when The belt is on the point of slipping = 1200 N.
Find the power transmitted at speed of 10 m/s. It is desired to Increase the power.
Which of the following two methods you will Select?
(a) Increasing the initial tension in the belt by 10 per cent.
(b) Increasing the coefficient of friction between the smaller Pulley surface and
belt by 10 per cent by the application of suitable dressing on the belt.
Find, also, the percentage increase in power possible in each case. [16]
4. For the section shown in figure 4, the moments of inertia with respect to x and y
axes have been computed and given as
Ix=405.5 cm4; Iy=272.3 cm4
Figure 4
Determine
(a) the principle axes of the section about O,
(b) the values of the principal moment of inertia of the section about O. [16]
5. Derive the mass moment of inertia of rectangular plate about base axis. [16]
6. The speed of a racing car is increased at a constant rate from 100 km/hr to 120
km/hr over a distance of 180 m along a curve of 240 m radius. Determine the
magnitude of the total acceleration of the car after it has traveled 120 m along the
curve. [16]
2 of 3
Code No: Y0122/R07 Set No. 2
7. An elevator weighing 5000 N is ascending with an acceleration of 3 m/s2. During
this ascent, its operator whose weight is 700 N is standing on the weighing pan
placed on the floor. What is the weighing pan reading? What will be the total
tension in the cables of elevator during this motion? [16]
8. A shaft 1.5 m long supported in flexible bearings at the ends carries two wheels
each of 50 kg mass. One wheel is situated at the centre of the shaft and the other at
a distance of 375 mm from the centre towards left. The shaft is hollow of external
diameter 75 mm and the internal diameter 40 mm. The density of shaft material is
7700 kg/m3 and its modulus of elasticity is 200 GN/m2. Find the lowest whirling
speed of the shaft, taking into account the mass of the shaft. [16]
? ? ? ? ?
3 of 3
Code No: Y0122/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
APPLIED MECHANICS
(Civil Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) How will you resolve a given force into a force and a couple?
(b) Three forces of magnitude 200 N, 500 N and 400 N are acting at the origin
O(0,0,0) and are directed from the points A(2,1,6), B(4,-2,-5) and C(-6,-4,-4)
respectively to the origin. Determine the magnitude of the resultant. [4+12]
2. (a) State laws of friction?
(b) The following are the specifications for a differential screw jack.
i. Pitch of smaller screw, 5.0 mm
ii. Pitch of larger screw, 10.0 mm
iii. Lever arm length from centre of screw= 500mm.
The screw jack raises a load of 15 kN with an effort of 185N. Determine the
efficiency of the differential screw jack at this load. If the above the jack can
raise a load of 40 kN with an effort of 585 N, Determine the efficiency of
machine. [4+12]
3. (a) Two parallel shafts whose centre lines are 8 m apart, are connected by open
belt drive. The diameter of the larger pulley is 3 m and that of smaller pulley
2 m. The initial tension in the belt when stationary is 6 kN. The mass of
the belt is 3 kg/m length. The coefficient of friction between the belt and the
pulley is 0.246. Taking centrifugal tension into account, Calculate the power
transmitted, when the smaller pulley rotates at 800 r.p.m.
(b) Discuss briefly the various types of belts used for the transmission of power.
[12+4]
4. (a) Using parallel axis theorem, determine the product of inertia of the area as
shown in the figure 4a, with respect to x and y axes.
1 of 3
Code No: Y0122/R07 Set No. 3
Figure 4a
(b) What is moment of inertia? [12+4]
5. Calculate the mass moment of inertia of the frustum of the cone shown in figure
5. With respect to the axis Z-Z and A-B. Assume the density of the cone as 2500
kg/m3. [16]
Figure 5
6. A bus starts from rest at point A and accelerates at the rate of 0.9 m/s2 until it
reaches a speed of 7.2 m/s. It then proceeds with the same speed until the brakes
are applied. It comes to rest, at point B, 18 m beyond the point where the brakes
are applied. Assuming uniform acceleration, determine the time required for the
bus travel from A to B. Distance AB = 90 m. [16]
7. In a reciprocating engine the piston, connecting rod and crank are shown in Figure
7. The Crank OA has a constant speed of 1500 rpm in clockwise direction. When
crank OA is at 45o to the horizontal, determine
2 of 3
Code No: Y0122/R07 Set No. 3
Figure 7
(a) the angular velocity of the connected rod AB and
(b) the velocity of the Piston B. Take the length of the crank OA = 8 cm and the
of connecting rod AB = 16 cm. [16]
8. Determine the natural frequency of the free longitudinal vibrations of a countilever
of length ‘C’ by equilibrium method and Rayleigh’s method. [16]
? ? ? ? ?
3 of 3
Code No: Y0122/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
APPLIED MECHANICS
(Civil Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Define Resultant.
(b) Three uniform, homogeneous and smooth spheres A, B and C Weighing 300
N, 600 N and 300 N, respectively and having Diameters 800 mm, 1200, and
800 mm, respectively, are placed in a trench as shown in figure 1b. Determine
the reactions at the Contact points P, Q, R and S. [4+12]
Figure 1b
2. (a) The pitch of a single threaded screw jack is 8 mm and its mean diameter is
70mm. If the coefficient of friction is 0.2, find the force required at the end of
a lever 300 mm long
i. to raise a load 60 kN.
ii. to lower the same load.
Find the torque applied in each case.
(b) The force required to pull a body of weight 50 N on a rough horizontal plane
is 15 N. Determine the coefficient of friction. [12+4]
3. The follwing data refer to an open belt driver: Diameter of larger pulley = 400
mm, Diameter of smaller pulley is 250 mm, Distance between two pulleys = 2
m, coefficient of friction Between smaller pulley surface and belt = 0.4, Maximum
tension when The belt is on the point of slipping = 1200 N.
1 of 3
Code No: Y0122/R07 Set No. 4
Find the power transmitted at speed of 10 m/s. It is desired to Increase the power.
Which of the following two methods you will Select?
(a) Increasing the initial tension in the belt by 10 per cent.
(b) Increasing the coefficient of friction between the smaller Pulley surface and
belt by 10 per cent by the application of suitable dressing on the belt.
Find, also, the percentage increase in power possible in each case. [16]
4. (a) Determine the product of inertia of a right angle triangle
i. with respect to x and y axes.
ii. with respect to x’ and y’ axes (x’ and y’ axes are passing through centroid
and parallel to x and y axes).
(b) State parallel axis theorem as applied to moment of inertia of plane areas.
[12+4]
5. Calculate the mass moment of inertia of the frustum of the cone shown in figure
5. With respect to the axis Z-Z and A-B. Assume the density of the cone as 2500
kg/m3. [16]
Figure 5
6. Two cars A and B are traveling along a straight road, both at 54 kmph, A moving
50 meters ahead of B. At a certain instant brakes are applied to A, while B continues
to move at a constant velocity. If the retardation of A is 0.25 m/sec2, determine
the speed of A when B overtakes it. [16]
7. In a reciprocating engine the piston, connecting rod and crank are shown in Figure
7. The Crank OA has a constant speed of 1500 rpm in clockwise direction. When
crank OA is at 45o to the horizontal, determine
Figure 7
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Code No: Y0122/R07 Set No. 4
(a) the angular velocity of the connected rod AB and
(b) the velocity of the Piston B. Take the length of the crank OA = 8 cm and the
of connecting rod AB = 16 cm. [16]
8. Determine the natural frequency of the free longitudinal vibrations of a countilever
of length ‘C’ by equilibrium method and Rayleigh’s method. [16]
? ? ? ? ?
3 of 3
Code No: Y0221/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
BASIC ELECTRONIC DEVICES AND CIRCUITS
(Electrical & Electronic Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) With the help of a neat sketch, explain the principle of working of a CRT.
(b) In a CRT, the length of deflecting plates is 2cm. The spacing between the
plates is 0.6cm. The distance of the screen from the center of the plates is
16cm. Calculate the deflection sensitivity in m/volt if the final anode voltage
is:
i. 600V and
ii. 900V. [8+8]
2. (a) Determine the resistivity of Germanium:
i. in intrinsic condition at 300 0K
ii. with donor impurity of 1 in 107
iii. with acceptor impurity of 1 in 108
Given for germanium at room temperature. ni = 2.5 × 1013/cm3; μp
= 1800 cm2/V-sec, μn = 3800 cm2/V-sec and number of Germanium
atoms/cm3 = 4.4 × 1022.
(b) Compare Avalanche and Zener breakdown. [10+6]
3. (a) Define the following terms of a half wave rectifier with resistive load:
i. Ripple factor
ii. Peak inverse voltage
iii. Rectification efficiency.
(b) A 230 V, 60Hz voltage is applied to the primary of a 5 : 1 step down, center
tapped transformer used in a full wave rectifier having a load of 900
. If the
diode resistance and the secondary coil resistance together has a resistance of
100
, determine:
i. dc voltage across the load
ii. dc current flowing through the load
iii. dc power delivered to the load
iv. PIV across each diode.
v. Ripple voltage and its frequency. [6+10]
4. (a) Explain the mechanism of current flow in a PNP and NPN Transistor.
(b) In a transistor operating in active region, although the collector junction is
reverse-biased, the collector current is quite large. Explain. [8+8]
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Code No: Y0221/R07 Set No. 1
5. (a) Prove that stability factor S00 = (IC−ICO1)S
( +1)
(b) Draw a circuit employing a thermistor compensation and explain its working.
[8+8]
6. (a) The h-parameters of a transistor used as an amplifier in the CE configura-
tion are hie=800
, hfe= 50, hoe=80 × 10−6
−1 and hre=5.4 × 10−4. If the
load resistance is 5 K
, determine the current gain, input impedance, output
impedance, voltage gain and power gain.
(b) Draw the small signal model for a common-source FET amplifier. [10+6]
7. (a) An amplifier has a gain of -100 and a distortion of 8%. What is the effect of
introducing negative feedback with feedback factor of 0.05?
(b) Find Af for a CE stage with an un bypassed emitter resistor. [8+8]
8. (a) Find Vi/Vf ’ for the network shown in figure 8a.
Figure 8a
(b) Sketch the circuit of a phase shift oscillator using feedback network shown in
figure 8b.
Figure 8b
(c) Find the expression for the frequency of oscillation, assuming that the network
does not load down the amplifier of question (b).
(d) Find the minimum gain required for oscillations of the circuit of question (b).
[16]
? ? ? ? ?
2 of 2
Code No: Y0221/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
BASIC ELECTRONIC DEVICES AND CIRCUITS
(Electrical & Electronic Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Derive the expression for the electro magnetic deflection sensitivity in the case
of the CRT.
(b) An electron with a velocity of 3 × 105 ms−1 enters an electric field of 910
V/m making an angle of 600 with the positive direction. The direction of
the electric field is in the positive Y direction. Calculate the time required to
reach its maximum height. [8+8]
2. (a) What are the various applications of p-n junction diode? Explain them.
(b) What are the specifications of p-n junction diode? Explain how reverse satu-
ration current varies with temperature both in Si and Ge diodes.
(c) Explain about the characteristics of zener diode. [5+6+5]
3. (a) Define the following terms of a half wave rectifier with resistive load:
i. Ripple factor
ii. Peak inverse voltage
iii. Rectification efficiency.
(b) A 230 V, 60Hz voltage is applied to the primary of a 5 : 1 step down, center
tapped transformer used in a full wave rectifier having a load of 900
. If the
diode resistance and the secondary coil resistance together has a resistance of
100
, determine:
i. dc voltage across the load
ii. dc current flowing through the load
iii. dc power delivered to the load
iv. PIV across each diode.
v. Ripple voltage and its frequency. [6+10]
4. (a) Draw two biasing circuits for an enhancement type MOSFET and explain its
characteristics.
(b) The data sheet for an enhanced MOSFET gives ID = 4.5mA at VGS=12V and
VGS(th)=6V. Determine the value of ID for VGS=10V. [10+6]
5. (a) Determine the stability factor for the circuit shown in figure 5a.
1 of 3
Code No: Y0221/R07 Set No. 2
Figure 5a
(b) Calculate the thermal resistance for the 2N338 transistor for which the manu-
facturer specifies Pc,max=125mW at 250C free-air temperature and maximum
junction temperature Tj=1500C. What is the junction temperature if the col-
lector dissipation is 75mW? [8+8]
6. Obtain CB h parameters in terms of CC h parameters. [16]
7. (a) Define Desensitivity D. What is the significance of this?
(b) An amplifier without feedback gives a fundamental output of 36V with 7
percent second-harmonic distortion when the input is 0.028V. If 1.2 percent
of the output is fed back into the input in a negative voltage series feedback
circuit, what is the output voltage? If the fundamental output is maintained
at 36V but the second-harmonic distortion is reduced to 1 percent, what is
the input voltage? [6+10]
8. Take into account the loading of the RC network in the phase shift oscillator shown
in figure 8 If R0 is the output impedance of the amplifier (assume that Cs is ar-
bitrarily large) prove that the frequency of oscillations f and the minimum gain A
are given by
f = 1
2 RC
1 p6+4(Ro
R )
A = 29 + 23Ro
R + 4 Ro
R 2
2 of 3
Code No: Y0221/R07 Set No. 2
Figure 8
? ? ? ? ?
3 of 3
Code No: Y0221/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
BASIC ELECTRONIC DEVICES AND CIRCUITS
(Electrical & Electronic Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Explain with a block diagram the major parts of CRT.
(b) An electron is injected with an initial velocity V0x of 4 × 106 m/sec halfway
between two large parallel plates 0.5cm apart. The XZ plane is parallel to the
plates. There is a voltage of 200V impressed between the plates, directed from
the positive to the negative plate. Where does the electron strike the positive
plate and with what velocity? [8+8]
2. (a) How does the reverse sturation current of diode varies with temperature. Ex-
plain.
(b) Draw the energy band diagram of p-n diode for no bias, forward bias and
reverse bias and explain. [6+10]
3. (a) Draw the circuit diagram of a FWR and explain its working principle.
(b) Design a filter for full wave circuit with LC filter to provide an output voltage
of 10V with a load current of 200 mA and the ripple is limited to 2%. [8+8]
4. (a) A silicon transistor with VBE = 0.7V, = 0.98 and collector cut-off current
of 10 μA is connected as shown in figure 4a. Find:
Figure 4a
(a) and ICO
(b) IC, IE and VCE.
(c) Briefly describe some applications of JFET. [10+6]
1 of 2
Code No: Y0221/R07 Set No. 3
5. (a) Compare the advantages and disadvantages of biasing schemes.
(b) Calculate the quiescent current and voltage of collector to base bias arrange-
ment using the following data:
Vcc =10V, Rb=100K
, Rc=2K
, =50 and also specify a value of Rb so that
Vce=7V. [8+8]
6. Show that the exact expression for hfb in terms of the CB hybrid parameters is
hfb = −
hfe(1−hre)+hiehoe
(1+hfe)(1−hre)+hoehie
from this formula obtain the approximate expression for hfe. [116]
7. (a) An amplifier has a gain of -100 and a distortion of 8%. What is the effect of
introducing negative feedback with feedback factor of 0.05?
(b) Find Af for a CE stage with an un bypassed emitter resistor. [8+8]
8. (a) Find Vi/Vf ’ for the network shown in figure 8a.
Figure 8a
(b) Sketch the circuit of a phase shift oscillator using feedback network shown in
figure 8b.
Figure 8b
(c) Find the expression for the frequency of oscillation, assuming that the network
does not load down the amplifier of question (b).
(d) Find the minimum gain required for oscillations of the circuit of question (b).
[16]
? ? ? ? ?
2 of 2
Code No: Y0221/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
BASIC ELECTRONIC DEVICES AND CIRCUITS
(Electrical & Electronic Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Derive the expressions for acceleration, Velocity and displacement of a charged
particle placed in an electric field E.
(b) Two parallel plates of a capacitor are separated by 4 cms. An electron is
at rest initally at the bottom plate. Voltage is applied between the plates,
which increases linearly from 0V to 8V in 0.1 m.sec. If the top plate is +ve,
determine:
i. The speed of electron in 40 n sec
ii. The distance traversed by the electron in 40 n sec. [8+8]
2. (a) Derive the expression for contact difference of potential V0 in the case of an
open circuited p-n junction.
(b) What is the ratio of current for a forward bias of 0.08 V to the current for the
same magnitude of reverse bias for the Germanium diode. [8+8]
3. (a) Discuss the operation of HW recitifier with and without capacitor filter.
(b) Draw the Half wave rectifier circuit using a step down Transformer with Vs
= 46 sin(100 t) and a semiconductor diode. Calculate the turns ratio of
the Transformer windings when the primary voltage of the Transformer is 230
volts. [8+8]
4. (a) Give the UJT symbol and simplified equivalent circuit with external resistors
included.
(b) Draw UJT emitter characteristics and mention various regions.
(c) If VE<VP and VE>VP , explain how UJT works for these conditions.[6+5+5]
5. (a) Determine the stability factor for the circuit shown in figure 5a.
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Code No: Y0221/R07 Set No. 4
Figure 5a
(b) Calculate the thermal resistance for the 2N338 transistor for which the manu-
facturer specifies Pc,max=125mW at 250C free-air temperature and maximum
junction temperature Tj=1500C. What is the junction temperature if the col-
lector dissipation is 75mW? [8+8]
6. (a) An FET amplifier in the common-source configuration uses a load resistance
of 500K
. The ac drain resistance of the device is 100K
and the transcon-
ductance is 0.8mAV−1. Calculate the voltage gain of the amplifier.
(b) Draw the hybrid model of a CE amplifier and define the h parameters. [8+8]
7. (a) An amplifier has a gain of -100 and a distortion of 8%. What is the effect of
introducing negative feedback with feedback factor of 0.05?
(b) Find Af for a CE stage with an un bypassed emitter resistor. [8+8]
8. (a) Prove that the amplitude of the oscillations is limited by the onset of nonlin-
earity.
(b) Design a phase-shift oscillator to operate at a frequency of 5kHz. Use a MOS-
FET with μ=55 and rd=5.5K. The phase shift network is not to load down
the amplifier. Find the minimum value of the drain circuit resistance Rd for
which the circuit will oscillate. [8+8]
? ? ? ? ?
2 of 2
Code No: Z0322/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
COMPUTER PROGRAMMING
( Common to Mechanical Engineering, Mechatronics, Production
Engineering and Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Discuss the History of ‘C’ language.
(b) Write the structure of ‘C’ program and explain. [6+10]
2. (a) What is the difference between selection and iteration statement?
(b) Write short notes on if statements. [6+10]
3. (a) Write short notes on register variable.
(b) Write a program to show the working of register variable in different blocks.
[6+10]
4. (a) Write a program to demonstrate realloc function.
(b) Describe operations on pointers with example. [10+6]
5. (a) How can a size of a structure be determined? In what units is the size reported.
(b) What is the purpose of typedef feature? How is the feature used in conjunction
with structures? [8+8]
6. (a) Write the syntax for opening a file with various modes and closing a file.
(b) Explain about file handling functions. [8+8]
7. What is the advantage of binary search compared to linear search. Write a program
to perform binary search? [16]
8. Write an algorithm that accepts the binary tree representing an expression and
return the infix version of the expression. [16]
? ? ? ? ?
1 of 1
Code No: Z0322/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
COMPUTER PROGRAMMING
( Common to Mechanical Engineering, Mechatronics, Production
Engineering and Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) What do you mean by enumerated data type explain with example?
(b) Define local and global variable. [10+6]
2. (a) What are the commonly used Input / Output functions used in ‘C’. How they
are accessed?
(b) What is the standard Input / Output header files in ‘C’? How it is used?
[10+6]
3. Write a program to find sum of odd & even series by using function with argument
and no return value. [16]
4. Define two - dimensional array with an example. [16]
5. Write a program to compare individual members of the structure, members are
employee grade, basic salary and allowance. [16]
6. Write a program to read the following data , to find the value of each item and
display the contents of the file. [16]
Item Code Price Quantity
Pen 101 Rs.20 5
Pencil 103 Rs.3 100
7. Explain the applications of stack and queue in detail. [16]
8. What do you mean by traversal? What are the types of binary tree traversal?[16]
? ? ? ? ?
1 of 1
Code No: Z0322/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
COMPUTER PROGRAMMING
( Common to Mechanical Engineering, Mechatronics, Production
Engineering and Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. What is the purpose of size of and pointer operator in ‘C’ explain with program?
[16]
2. (a) Write a ‘C’ program to print series of prime numbers using looping and break
statements.
(b) Write a ‘C’ program to find area of triangle. [10+6]
3. What is the working of following functions :
(a) ceil(x)
(b) exp(x)
(c) cos(x)
(d) tolower(x). [16]
4. Write a program to find inverse of a matrix. [16]
5. Define Structure and write the general format for declaring and accessing structure
members with an example. [16]
6. (a) Write the syntax for opening a file with various modes and closing a file.
(b) Explain about file handling functions. [8+8]
7. What do you mean by exchange sorting? Explain about quick sort. [16]
8. (a) What is binary tree? What is the representation of binary tree?
(b) What are the common operations done in a binary tree explain any one?[6+10]
? ? ? ? ?
1 of 1
Code No: Z0322/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
COMPUTER PROGRAMMING
( Common to Mechanical Engineering, Mechatronics, Production
Engineering and Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Write a ‘C’ program to convert number of days - months and days.
(b) Find the output of the following C program [10+6]
main()
{
int x = 3 , y = 7 , z = 8;
x = y == z ;
printf (“%d” , x);
}
2. (a) What are the commonly used Input / Output functions used in ‘C’. How they
are accessed?
(b) What is the standard Input / Output header files in ‘C’? How it is used?
[10+6]
3. Explain call by value and call by reference and nesting of function. [16]
4. (a) Write a program to evaluate the average of the a values in an array.
(b) Write a program to evaluate the largest number in an array. [8+8]
5. How can a entire structure be passed to a function? How can a entire structure be
returned from a function? [8+8]
6. Write a program to display the contents from the file. [16]
7. What are the advantages and disadvantages of stack? Write a program to illustrate
stack operation? [16]
8. (a) What is a network?
(b) What is a spanning tree?
(c) Define minimal spanning tree.
(d) What are the various traversals in a tree? [4+4+4+4]
? ? ? ? ?
1 of 1
Code No: Z0421/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
ELECTRONIC DEVICES AND CIRCUITS
( Common to Electronics & Communication Engineering, Computer Science
& Engineering, Electronics & Instrumentation Engineering, Bio-Medical
Engineering, Information Technology, Electronics & Control Engineering,
Computer Science & Systems Engineering, Electronics & Telematics,
Electronics & Computer Engineering, and Instrumentation & Control
Engineering )
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. A charged particle having charge thrice that of an electron and mass twice that of
an electron is accelerated through a potential difference of 50 V before it enters a
uniform magnetic field of flux density of 0.02 Wb/m2 at an angle of 25o with the
field. Find [16]
(a) The velocity of the charged particle before entering the field,
(b) Radius of the helical path, and
(c) Time of one revolution.
2. (a) Explain the Fermi level in extrinsic semiconductor.
(b) Write any four applications of PN diode. [12+4]
3. (a) Compare : HWR, center tapped FWR & Bridge rectifier.
(b) A transformer with 20V r.m.s., 50Hz secondary, supplies a bridge rectifier
having a load of 200
. Determine the d.c output voltage, d.c load current
and PIV rating of the diode. [6+10]
4. With a neat sketch explain the drain source characteristics & transfer characteristics
of depletion type MOSFET. [16]
5. (a) What is the importance of dc load line?
(b) The figure 5b shows that D.C bias circuit of a common Emitter transistor
amplifier. Find the percentage changer in collector current, if the transistor
with HFE = 50 is replaced by another transistor with HFE = 150. It is given
that the base emitter drop VBE = 0.6V. [8+8]
1 of 3
Code No: Z0421/R07 Set No. 1
Figure 5b
6. A transistor used in a CC Circuit as shown in Figure 6. has the following set of h
parameters.
hic = 2 K
, hfc = -51, hrc = 1, hoc = 25 × 10−6
Find the values of input and output resistances, current and voltage gains of the
amplifier stage. Use the approximate analysis. [16]
Figure 6
2 of 3
Code No: Z0421/R07 Set No. 1
7. An amplifier with negative feedback has a voltage gain of 100. It is found that
without feedback, an input signal of 50mV is required to produce a gain output,
where as with feedback, the input signal must be 0.6V for the same output calculate
the value of AV and . [16]
8. Explain briefly about frequency and amplitude stability of oscillators. [16]
? ? ? ? ?
3 of 3
Code No: Z0421/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
ELECTRONIC DEVICES AND CIRCUITS
( Common to Electronics & Communication Engineering, Computer Science
& Engineering, Electronics & Instrumentation Engineering, Bio-Medical
Engineering, Information Technology, Electronics & Control Engineering,
Computer Science & Systems Engineering, Electronics & Telematics,
Electronics & Computer Engineering, and Instrumentation & Control
Engineering )
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) What is deflection Defocusing? Give the reasons of defocusing.
(b) Compare: Electrostatic deflection and magnetic deflection
(c) An electron beam is deflected of 100 degrees when it traverses in uniform
magnetic field, 3 cm wide, having a density of 0.6 mT. Calculate:
i. The speed of the electrons and
ii. The force on each electron. The direction of the beam is normal to that
of the flux. [4+6+6]
2. (a) Define Mass Action Law.
(b) Explain N type & P type Semiconductors. [4+12]
3. Derive the ripple factor of Inductor filter. [16]
4. Explain the operation of SCR during forward & Reverse bias. [16]
5. (a) Find the collector current and collector to emitter voltage for the given circuit
as shown in figuer 5a.
1 of 3
Code No: Z0421/R07 Set No. 2
Figure 5a
(b) Can the value of stability factor be less than unity? Explain briefly. [10+6]
6. A transistor used in a CC Circuit as shown in Figure 6. has the following set of h
parameters.
hic = 2 K
, hfc = -51, hrc = 1, hoc = 25 × 10−6
Find the values of input and output resistances, current and voltage gains of the
amplifier stage. Use the approximate analysis. [16]
Figure 6
7. With circuit diagram explain how voltage series and voltage shunt feedback are
2 of 3
Code No: Z0421/R07 Set No. 2
obtained in the common emitter amplifier. [16]
8. Explain briefly about frequency and amplitude stability of oscillators. [16]
? ? ? ? ?
3 of 3
Code No: Z0421/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
ELECTRONIC DEVICES AND CIRCUITS
( Common to Electronics & Communication Engineering, Computer Science
& Engineering, Electronics & Instrumentation Engineering, Bio-Medical
Engineering, Information Technology, Electronics & Control Engineering,
Computer Science & Systems Engineering, Electronics & Telematics,
Electronics & Computer Engineering, and Instrumentation & Control
Engineering )
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. In a cathode ray tube having electric deflection system, the deflection plates are 2
cm long and have uniorm spacing of 4mm between them. The fluorescent screenis 25
cm away from the centre of the deflection plates. Calculate the deflection sensitivity,
if the potential of the final anode is:
(a) 1000 V,
(b) 2000 V and
(c) 35000 V. [16]
2. (a) Define law of junction.
(b) Explain the Fermi’s level in intrinsic semiconductor. [6+10]
3. Derive all the necessary parameter of bridge rectifier. [16]
4. With a neat sketch explain the drain source characteristics & transfer characteristics
of depletion type MOSFET. [16]
5. (a) What is the use of biasing?
(b) Draw the dc equivalent model.
(c) The circuit as shown in the figure 6 has fixed bias using NPN transistor.
Determine the value of base current, collector current, and collector to emitter
voltage. [4+4+8]
1 of 3
Code No: Z0421/R07 Set No. 3
Figure 6
6. A transistor used in a CC Circuit as shown in Figure 6. has the following set of h
parameters.
hic = 2 K
, hfc = -51, hrc = 1, hoc = 25 × 10−6
Find the values of input and output resistances, current and voltage gains of the
amplifier stage. Use the approximate analysis. [16]
Figure 6
7. With neat sketch explalin about all types of feedback systems. [16]
8. Explain briefly about frequency and amplitude stability of oscillators. [16]
2 of 3
Code No: Z0421/R07 Set No. 3
? ? ? ? ?
3 of 3
Code No: Z0421/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
ELECTRONIC DEVICES AND CIRCUITS
( Common to Electronics & Communication Engineering, Computer Science
& Engineering, Electronics & Instrumentation Engineering, Bio-Medical
Engineering, Information Technology, Electronics & Control Engineering,
Computer Science & Systems Engineering, Electronics & Telematics,
Electronics & Computer Engineering, and Instrumentation & Control
Engineering )
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Two parallel plates are kept a distance 12 cm apart. One plate is 800 V positive
with respect to the other. An electron starts from rest from the negative plate.
Find the distance travelled. Time taken and the kinetic energy of the electron
when it has acquired a speed of 5 × 106 m/s, at this instant, the potential across
the plates is suddenly removed. Find the total time of travel of the electron from
the negative plate to the positive plate. [16]
2. (a) Explain about semiconductor, Insulator & Conductor with neat sketch.
(b) State the Einstein relationship for semiconductor.
(c) State paulis exclusion principle. [6+5+5]
3. Determine:
(a) DC output voltage,
(b) PIV,
(c) Rectification effeminacy of the given circuit figure3c. [16]
1 of 3
Code No: Z0421/R07 Set No. 4
Figure 3c
4. (a) Define DC drain resistance.
(b) Define AC drain resistance.
(c) Define trans conductance.
(d) Define amplification factor. [4+4+4+4]
5. In a CE germanium transistor point for the circuit of potential divider bias arrange-
ment with R2 = RC = 5k
, RE = 1 k
and R1 = 40k
. [16]
6. A transistor used in a CC Circuit as shown in Figure 6. has the following set of h
parameters.
hic = 2 K
, hfc = -51, hrc = 1, hoc = 25 × 10−6
Find the values of input and output resistances, current and voltage gains of the
amplifier stage. Use the approximate analysis. [16]
2 of 3
Code No: Z0421/R07 Set No. 4
Figure 6
7. An amplifier has a mid band gain of 125 and bandwidth of 250 kHz.
(a) If 4% negative feedback is introduced, find the new bandwidth and gain.
(b) If the BW is to be restricted to 1MHz. find the feedback ratio. [16]
8. Explain briefly about frequency and amplitude stability of oscillators. [16]
? ? ? ? ?
3 of 3
Code No: Y0822/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
PHYSICAL CHEMISTRY
(Chemical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Derive the expression which enables calculation of the amount of a solute left un-
extracted after a given number of extractions. [16]
2. (a) State the phase rule and discuss the derivation of the phase rule.
(b) Apply phase rule to a one component system having more than one triple
point. [8+8]
3. Near room temperature, it is a rule that the rate of reaction doubles if the tem-
perature is increased by 10o K. Assuming that it is the rate constant that doubles,
calculate the value the activation energy must have if this rule is to hold exactly.
[16]
4. Describe and explain two ways in which the nature of the electrical charge on the
particles in an iron ( III ) hydroxide sol can be determined. [16]
5. (a) Write the relation between Equivalent conductivity and molar conductivity
(b) The molar conductance of a solution of aluminium chloride is found to be 130
scm2 mol−1 at 298o K. What would be its Equivalent conductance at the same
temp? [8+8]
6. Describe a method for measuring e.m.f’s of a Galvanic cell. How can this method
be used for measuring potentials of single electrodes? [16]
7. Explain the following reactions.
(a) Alkylation and Dealkylation reactions.
(b) Isomerization reactions.
(c) Hydrogenation & Oxidation reactions. [5+5+6]
8. Explain the following :
(a) Linear scan polarography
(b) Pulse polarography. [8+8]
? ? ? ? ?
1 of 1
Code No: Y0822/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
PHYSICAL CHEMISTRY
(Chemical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) State and explain distribution law. Under what conditions is the law valid?
(b) Discuss the derivation of the distribution law from thermodynamic consider-
ations. [8+8]
2. Draw the phase diagram and explain the different curves of the water system. [16]
3. (a) The activation energy for a certain reaction is 80 KJ /mol. How many times
larger is the rate constant at 50oC than the rate constant at 0oC ?
(b) Two ions form a very weakly polar activated complex. What is the expected
effect on the rate constant as a moderately polar solvent is replaced by a highly
polar solvent? [8+8]
4. What is Hardy-Schulze rule and what are the principles involved in mechanism of
coagulation? [16]
5. Discuss in detail about the formation of ions in solution with industrial applications.
[16]
6. Write the equations for left and right hand electrode reactions and the overall cell
reactions for the following :
(a) Pt |H2,H+| |Cu2+| Cu
(b) Zn |Zn2+| | Cl−, Hg2Cl2 (s)| Hg (1)
(c) Cr |CrCl3 (aq)| |KCl (aq)| |Hg2Cl2 (s)| Hg (1) [5+5+6]
7. (a) Describe the mechanism of enzyme catalysed reactions
(b) Mention its kinetic reactions with example, what is turn over number. [8+8]
8. (a) Describe micro electrodes and dropping mercury electrode with neat sketch.
(b) Distinguish between voltametry and polarography. [8+8]
? ? ? ? ?
1 of 1
Code No: Y0822/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
PHYSICAL CHEMISTRY
(Chemical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Explain the dissociation of the solute in one of the solvents. [16]
2. (a) The vapour pressure of liquid bromine at 9.3oC is 100 Torr. If the heat of
vapourization is 30910 J / mol, calculate the boiling point of bromine.
(b) The boling point of Diethyl ether is 34.6oC. Calculate the vapor pressure at
25oC. [10+6]
3. Explain how activated complex theory helps in evaluating standard enthalpy of
activation and standard entropy of activation. Show that for reactions involving
simple molecules, the collision theory and ACT give identical results. [16]
4. What is the Tyndall cone effect ? Why are motor car headlights less effective in
fog than on a clear night? Why are fog lights usually yellow? [16]
5. Describe the following terms:
(a) Ions in solution
(b) Ionic Reactions, colligative properties
(c) Heat of neutralization
(d) Colour of certain compounds and their solution. [4+4+4+4]
6. Explain why
(a) NH3 liberated by the reaction
Zn +MnO2+4NH4
++2e ! Zn2++Mn2++2H2O + 2NH3
in a dry cell does not build up as a gas pressure.
(b) During discharge the density of H2So4 decreases in a lead accumulator.
(c) Some metal in contact with its own ions with different concentrations consti-
tute a cell. [5+5+6]
7. Describe the Algorithm for Determining reaction mechanism and rate limiting step.
[16]
8. What are the sources of the residual current in linear-scan polarography. Why are
residual currents smaller with current sampled polarography? [16]
? ? ? ? ?
1 of 1
Code No: Y0822/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
PHYSICAL CHEMISTRY
(Chemical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. An organic compound is 20 times more soluble in ether than in water. Calculate
the amount of the compound left unextracted when 100 ml of aqueous solution
containing 1 gm is shaken [16]
(a) with 100 ml of ether and
(b) with two successive quantities of 50 ml ether.
2. (a) What is meant by reduced phase rule equation.
(b) Discuss the use of the phase rule in Pattinson’s process for desilverization of
lead. [8+8]
3. Consider the reaction of two atoms to form an activated complex A + B $ (AB).
Write the partition functions for the atoms and the diatomic complex and show that
the frequency factor predicted by the Eyring equation is identical to that predicted
by the collision theory if rAB is identified with AB. [16]
4. (a) Explain the process of preparing protective colloid.
(b) What is gold number? Explain. [8+8]
5. (a) Describe the application of Kohlrausch’s law and conductometric titrations.
(b) Write a note on migration of ions. [10+6]
6. Describe the following electrodes. Also give their electrode reaction and an expres-
sion for electrode potential.
(a) metal - metal ion electrode
(b) Glas electrode
(c) metal - metal insoluble salt electrode. [16]
7. (a) Discuss in details of catalytic mechanism
(b) In the acid hydrolysis reactions A+H2O + H+
! products where [H+] = 0.2
mol dm−3 and H2O is present in large excess, the apparent rate constant (i.e.,
the pseudo first order rate constant) is 1.4 × 10−5 s−1. Calculate the true rate
constant. [8+8]
8. Explain with neat diagram of voltammograms and their industrial applications.
[16]
? ? ? ? ?
1 of 1
Code No: Y2122/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
NUMERICAL METHODS
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Solve the equation x2 − logx
e = 1.2, correct to three decimal places by
(a) Bisection method.
(b) Method of false position. [8+8]
2. (a) If y(75)=246,y(80)=202,y(85)=118,y(90)=40,find y(79)
(b) Use Lagrange’s interpolation formula to find the value at y when x=10,given
the following data:
x 5 6 9 11
y 12 13 14 16
. [8+8]
3. (a) Fit a straight line y=a+bx to the following data:
x 0 1 2 3
y 2 5 8 10
(b) Write the procedure for fitting the sum of the exponential curve aebx to a set
of points (xi, yi). [8+8]
4. (a) Explain Cooley-Tukey algorithm.
(b) State and prove Parseval’s identity on Fourier transforms. [8+8]
5. (a) Obtain the Cubic spline interpolation
X 0 2 4 6
f 1 9 41 41
Hence find f(2.8) and f(4.8).
(b) A solid of revolution is formed by rotating about the x-axis,the area between
the x-axis, the line x=0 and x = 1 and a curve through the points with the
following co-ordinates.
X: 0.2 0.4 0.6 0.8 1.00
Y: 2.0000 1.9896 1.9589 1.9089 1.8415
Estimate the volume of the solid formed using Simpson’s rule. [8+8]
6. (a) Find the inverse of the matrix0
@
2 0 1
3 2 5
1 − 1 0
1A
by Gauss-Jordan method.
1 of 2
Code No: Y2122/R07 Set No. 1
(b) Apply LU factorization method to solve the equation.
3x+4y+5z = 18
2x-y+8z = 13
5x-2y+7z = 20. [8+8]
7. (a) Find y(1.1), y(1.2) given y0 = x3+y/2, y(1)=2 by using R.K. method of fourth
order.
(b) Find y (0.8) by Milne’s method given yI= y − x2, y (0) = 1, y (0.2) = 1.12186,
y (0.4) = 1.4682, y (0.6) = 1.7379. [8+8]
8. (a) Solve the Laplace’s equation uxx + uyy = 0 for square mesh given u=0 on the
4 boundaries dividing the square into 16 sub-squares of length 1 unit.
(b) Solve r2u = 0 (the two dimensional heat conduction equation in steady-state)
at the interior lattice points, given boundary values as follows. As shown in
Figure 8b. [8+8]
Figure 8b
? ? ? ? ?
2 of 2
Code No: Y2122/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
NUMERICAL METHODS
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) Solve x3 + 2x2+10x-20=0 by Newton-Raphson method.
(b) Find the root of the equation x4-x-10=0 using Bisection method. [8+8]
2. If the interval of differencing is unity, prove that
(a) tan−1(n−1
n ) =tan−1( 1
2n2 ).
(b) 2x
x!=2x(1−x)
(x+1)! .
(c) f(x) = − f(x)
f(x)f(x+1) . [5+5+6]
3. (a) Fit a straight line y=a+bx to the following data:
x 0 1 2 3
y 2 5 8 10
(b) Write the procedure for fitting the sum of the exponential curve aebx to a set
of points (xi, yi). [8+8]
4. For k >1,prove that d
dxBk
i (x) = ( k
ti+k−ti
)Bk−1
i (x) − ( k
ti+k+1−ti+1
)Bk−1
i+1 (x) for all x.
[16]
5. (a) From the following table of values of x and y, dy
dx at each of the points by fitting
the Cubic Spline method.
x 1 2 3 4
y 1 3 4 2
(b) Using Simpson’s 3/8th rule evaluate
6
R
0
dx
1+x2 by dividing the range into 6 equal
parts. [8+8]
6. (a) Using Gauss-Jordan method solve.
x - y+3z= 10
x+4y+5z=25
6x-3y+10z=23.
(b) Apply LU factorization method to solve the equation:
4x+y+3z=11
3x+4y+2z=11
2x+3y+z=7. [8+8]
1 of 2
Code No: Y2122/R07 Set No. 2
7. (a) Using R.K method of fourth order find y(0.8) correct to 4 decimal places if
y0 = y − x2, y (0.6) = 1.7379
(b) Solve y0 = x+y given y(1) = 0. Find y (1.1) and y (1.2) by Taylor’s series.
[8+8]
8. (a) Solve: r2u = 0 in the square region bounded by x = 0, x = 4, y = 0, y =
4 and with boundary conditions u (0, y) = 0, u (4, y) = 8 + 2y, u (x, 0) =
(x2/2), u (x, 4) = x2 by taking h = k = 1.
(b) Solve the equation uxx+uyy= 0 in the domain of following Figure 8b by Gauss-
seidel’s method. [8+8]
Figure 8b
? ? ? ? ?
2 of 2
Code No: Y2122/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
NUMERICAL METHODS
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Find the root of the equation xex=2 by
(a) Bisection method.
(b) Method of false position. [8+8]
2. (a) Determine the maximum step size that can be used in the tabulation of f(x)=ex
in [0,1], so that the error in linear interpolation be less than 5x10−4.
(b) Evaluate 10(1 − ax)(1 − bx2)(1 − cx3)(1 − dx4). [12+4]
3. (a) What straight line best fits the data:
x 1 2 3 4
y 0 1 1 2
In the least square sense?
(b) Using the method of least squares find the constant function that best fits the
data:
x -1 2 3
y 5/4 4/3 5/12
[8+8]
4. (a) If the scalar product is given by < g, h >=
b
Ra
g(x)h(x)w(x)dx then prove that
Pk(x) has k simple real zeros, all of which lie in the interval (a,b).
(b) Use FFT to calculate approximately the Fourier coefficients ˆ f(j) for
i. f(x)=sin3x
ii. f(x)=sin( x ) using, e.g., N=81 or 324 or whatever.Why do the Fourier
coefficients for f(x)=sin( x) fail to decay rapidly as |j| increases? [8+8]
5. (a) Find the value of log 2
1
3 from
1
R0
x2
1+x3 dx by using Simpson’s one- third rule with
h=0.25.
(b) From the following table of values of x and y, at each of the points by fitting
the Cubic Spline method. [8+8]
X 2 3 4 5
y 1 3 4 2
1 of 2
Code No: Y2122/R07 Set No. 3
6. (a) Find the inverse of the given matrix by Gauss-Jordan method.
A =0
@
1 1 2
1 2 3
2 3 1
1A
(b) Solve by crout?s method.
x+y+z = 3
2x-y+3z = 16
3x+y-z = -3. [8+8]
7. (a) Find y(0.2) given y0= 3x+y/2 , y(0)=1 by using R.K. method of fourth order.
(b) Using Milne’s method find y(0.4) if y(x) is the solution of dy
dx = 1
2 (1 + x2) y2
given y(0) = 1, y(0.1) = 1.06 ,y(0.2) = 1.12, y(0.3) = 1.21. [8+8]
8. (a) Solve: r2u = 0 in the square region bounded by x = 0, x = 4, y = 0, y = 4
and with boundary conditions u (0, y) = 0, u (4, y) = 1 - y, u (x, 0) = (x2-4),
u (x, 4) = 5x2 -2 by taking h = k = 1.
(b) The function u satisfies Laplace’s equation at all points within the square given
in the following Figure 8b and has the boundary values indicated. Compute
a solution correct to two decimals by Gauss-seidel method. [8+8]
Figure 8b
? ? ? ? ?
2 of 2
Code No: Y2122/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
NUMERICAL METHODS
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Find the root of the equation exsinx = 1 using
(a) Bisection method.
(b) Method of Newton-Raphson. [8+8]
2. From the following data estimate the number of persons having income in between
(a) 1000-1700 and
(b) 3500-4000 [16]
Income Below 500 500-1000 1000-2000 2000-3000 3000-4000
Number of persons 6000 4250 3600 1500 650
3. (a) Fit a straight line y=a+bx to the data:
x 1 2 3 4 5 6
y 2.4 3.1 3.5 4.2 5.0 6.0
(b) Derive the condition for linear weighted least squares approximation. [8+8]
4. (a) Explain Gram-Schmidt orthogonalising process.
(b) Using the Gram-Schmidt orthogonalisation process, compute the first three
orthogonal polynomials P0(x), P1(x), P2(x) which are orthogonal on [0,1] with
respect to the weight function W(x)=1.Using these polynomials, obtain the
least squares approximation of second degree for f(x)=x1/2 on [0,1]. [4+12]
5. (a) Obtain the Cubic spline interpolation
X 0 2 4 6
f 1 9 41 41
Hence find f(2.8) and f(4.8).
(b) A solid of revolution is formed by rotating about the x-axis,the area between
the x-axis, the line x=0 and x = 1 and a curve through the points with the
following co-ordinates.
X: 0.2 0.4 0.6 0.8 1.00
Y: 2.0000 1.9896 1.9589 1.9089 1.8415
Estimate the volume of the solid formed using Simpson’s rule. [8+8]
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Code No: Y2122/R07 Set No. 4
6. (a) Using Gauss-Jordan method solve
x ? y + z = 1
-3x + 2y - 3z = -6
2x - 5y + 4z = 5.
(b) Solve by Crout’s method
24
6 −1 1
1 1 1
10 1 −1
35
24
x
y
z
35
=
24
13
9
19
35
[8+8]
7. (a) Using Euler’s method find y (0.2) given dy/dx = log(x + y) and y (0) = 1, h
= 0.2.
(b) Solve by Taylor series method dy/dx = y + x3 for x = 1.1, 1.2 given y (1) =
1. [8+8]
8. (a) Solve the equation uxx+uyy= 0 in the domain of following Figure 8a by Gauss-
seidel’s method.
Figure 8a
(b) Derive Diagonal five point formula to solve Laplace equation, stating the as-
sumptions you make. [8+8]
? ? ? ? ?
2 of 2
Code No: Y2322/R07 Set No. 1
I B.Tech Supplementary Examinations, November 2009
FUNDAMENTALS OF BIOLOGY
(Bio-Technology)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Would sexual or asexual reproduction occur in fungi? Give reasons for your answer.
[16]
2. Describe the significance of cell division, cell elongation and cell differentiation in
plant growth. [16]
3. “Sericulture is a viable rural agro industry”- Justify. [16]
4. Give an account of gene expression and genetic code. [16]
5. What are hormones? Tabulate the major hormones, their target and their function
once in the target cell. [16]
6. Give a detailed account on function of cerebral cortex in hearing. [16]
7. Write notes on:
(a) Organization of photo systems in the thylakoid membrane
(b) Two ways to determine the action spectrum for photosynthesis. [8+8]
8. Biofertilizers for nutrient management in organic production of agri/horticultural
crops. Discuss? [16]
? ? ? ? ?
1 of 1
Code No: Y2322/R07 Set No. 2
I B.Tech Supplementary Examinations, November 2009
FUNDAMENTALS OF BIOLOGY
(Bio-Technology)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Why microorganisms are varying with the nutrients uptake? Explain. [16]
2. Describe the significance of cell division, cell elongation and cell differentiation in
plant growth. [16]
3. Comment on :
(a) Gemmules
(b) Heteronereis
(c) Salient features of porifera. [5+5+6]
4. Give an account of gene expression and genetic code. [16]
5. How the nervous system does exert a profound influence on all digestive processes?
[16]
6. Give a detailed account on function of cerebral cortex in hearing. [16]
7. Compare fermentations to aerobic respiration with respect to
(a) the amount of energy released from the energy source (e.g. glucose),
(b) the compound that serves as an electron acceptor, and
(c) the mechanisms of ATP synthesis that are involed. [5+5+6]
8. What are biofertilizers? How are they classified? Discuss on the method for appli-
cation of the different biofertilizers. [16]
? ? ? ? ?
1 of 1
Code No: Y2322/R07 Set No. 3
I B.Tech Supplementary Examinations, November 2009
FUNDAMENTALS OF BIOLOGY
(Bio-Technology)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Would sexual or asexual reproduction occur in fungi? Give reasons for your answer.
[16]
2. Describe the significance of cell division, cell elongation and cell differentiation in
plant growth. [16]
3. Explain the canal system in sponges. [16]
4. Give an account of gene expression and genetic code. [16]
5. (a) Write a detailed note on Haematopoiesis.
(b) Explain the stages in Hemostasis. [8+8]
6. Enumerate on:
(a) Functional anatomy of cochlea
(b) Transmission of sound waves in cochlea. [8+8]
7. Define lithotrophy. List three different compounds that lithotrophs can oxidize as
sources of energy. What is the biological importance of lithotrophic metabolism?
[16]
8. Give an account of microbial enzymes and biotransformation. [16]
? ? ? ? ?
1 of 1
Code No: Y2322/R07 Set No. 4
I B.Tech Supplementary Examinations, November 2009
FUNDAMENTALS OF BIOLOGY
(Bio-Technology)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. How would you differentiate Prokaryotes from Eukaryotes? [16]
2. Describe the significance of cell division, cell elongation and cell differentiation in
plant growth. [16]
3. Comment on :
(a) Gemmules
(b) Heteronereis
(c) Salient features of porifera. [5+5+6]
4. Give a detailed account of molecular mechanism of DNA replication. [16]
5. What are hormones? Tabulate the major hormones, their target and their function
once in the target cell. [16]
6. Give a detailed account on function of cerebral cortex in hearing. [16]
7. Describe the role that chlorophylls and the other pigments found in chloroplasts
play to initiate the light-dependent reactions. [16]
8. Biofertilizers for nutrient management in organic production of agri/horticultural
crops. Discuss? [16]
? ? ? ? ?
1 of 1