Exam Details
Subject | mechanical engineering | |
Paper | ||
Exam / Course | ||
Department | ||
Organization | indian space research organisation | |
Position | ||
Exam Date | 2006 | |
City, State | , |
Question Paper
1 In_ nodular iron, graphite is in the form of Cementite Free carbon Flakes Spheroids
2 Hardness of steel depends on Amount of carbon it contains The shape and distribution of the carbides in iron Method of fabrication Contents of alloying elements
3 Too high welding current in arc welding would result in Excessive spatter, under cutting along edges, irregular deposits, wasted
electrodes Excessive piling up of weld metal, poor penetration, wasted electrodes Too small bead, weak weld and wasted electrodes Excessive piling up of weld metal, overlapping without penetration of
edges, wasted electrodes
4 Which of the following processes would produce strongest components? Hot rolling Extrusion Cold rolling Forging
5 If a quantity Q is dependent on three other quantities q1, q2 and q3 related
such that Q=K x (qlrl x (qor2 x (q3 r3 then overall error
ql q2 q3 nlql n2q2 n3q3
ql q2q3
6 Which of the following has maximum hardness Austenite Pearlite Troostite Martensite
7 The main advantage of line organization is its Effective command and control Defined responsibilities at all levels Rigid discipline in the organization All of the above
8 The mathematical technique for finding the best use of limited resources in an optimum manner is known as Operation research Linear programming Network analysis Queuing theory
9 Which of the following errors are generally distributed in accordance with the Gaussian distribution Controllable errors Calibration errors Avoidable errors Random errors
Indian Space Research Organisation Page 1 of 11
10 PL3 . ... . .... ..... ....•
-Isthe deflection tinder the load P of a cantilever beam (length
3E1
modulus of elasticity moment of inertia 1). The strain energy due to bending is
P 2 L3 P 2L3
P2L3
3E1 6E1 48E1
11 A mass m attached to a light spring oscillates with a period of 2 sec. If the mass is increased by 2 kg, the period increases by 1 sec. The value ofm is a)1kg b)1.6 kg c)2kg d)2.4 kg
12 A short column of external diameter 0 and internal diameter d carries an external load W. The greatest eccentricity which the load can have without producing tension on the cross section of the column is
13 If the radius of wire stretched by a load doubled, then its Young's modulus will Be doubled Be halved Become four times None of the above
14 Longitudirial stress in a thin cylinder subjected to internal pressure is Half of the hoop stress Twice the hoop stress Equal to the hoop stress One-fourth the hoop stress
15 Maximum deflection in cantilever due to pure bending moment M at its end is
ML2 2
2
ML
ML
2E1 3E1 6E1
16 If Poisson's ratio for a material is 0.5, then the elastic modulus for the material is 3 times its shear modulus 4 times its shear modulus Equal to its shear modulus Indeterminate
17 A cantilever beam of negligible weight is carrying a mass M at its free end, and is also resting on an elastic support of stiffness k1
as shown in the figure below. If k2 represents the bending stiffness of the beam, the natural frequency of the system is
Page 2 of11
Indian Space Research Organisation
19
20
21
22
23 24
25
The figure shows 3 small spheres that rotate about a vertical axis. The perpendicular distance between the axis and the center of each sphere is given. Mass of highest rotational inertia about that axis, is
36 b)4 9
Which of the following relationships between the force F on a particle and the particles position x implies simple harmonic oscillation F=-200x2 F=lOx d)F=5x2
A mass of 100 kg is held between two springs as shown in figure. The natural frequency of vibration of the system in cycles/second is
10 b)2.
Jr Jr
1 20
2Jr Jr
The bending equation is written as
•I fE Mf2E2
MyR I YR2
M f E M2 f2 E2
IyR IyR
Hydraulic testing of boilers is done at pressures Below and above atmosphere Slightly above atmospheric pressure At half the working pressure of boiler At 1.5 to 2 times the working pressure
100 m of water column is equal to 1000 kN/m2 100 kN/m2 10 kN/m2 1 kN/m2
Gantry girders are invariably designed to resist Transverse loads only Lateral loads only Transverse and lateral loads Transverse, lateral and axial load
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the later at the same speed will be Four times the first one Same as the first one One fourth of the first one One and a half times the first one
36Kg
1m
2m 9Kg 4Kg
3m
All same
26 A thin circular disc is rolling with a uniform linear speed, along a straight . path on a plane surface. Consider the following statements in this regard:
1.
All points of the disc have the same velocity
2.
The center of the disc has zero acceleration
3.
The center of the disc has centrifugal acceleration
4.
The point on the disc making contact with the plane surface has zero acceleration
Of these statements
1 and 4 are correct 3 and 4 are correct
3 alone is correct 2 alone is correct
27 If a number of forces act on a rigid body, each force may be replaced by an equal and parallel force acting through a fixed point, together with a couple. For the rigid body to be in equilibrium Both resultant force couple must be zero The resultant couple on the body must be zero The resultant force at the fixed point must be zero None of the above need be zero ..
28 Whirling speed of a shaft coincides with the natural frequency of its Longitudinal vibration Transverse vibration Torsional vibration Coupled bending torsional vibration
.
29 A fixed gear having 200 teeth is in mesh with another gear having 50 teeth. The two gears are connected by an arm. The number of turns made by the smaller gear for one revolution of arm about the center of the bigger gear is 4 3 2 5
4
30 With symbols having the usual meanings, the single degree of freedom system, mx c.i +kx sin OJt represents Free vibrations with damping Free vibrations without damping Forced vibrations with damping Forced vibrations without damping
31 In the two -rotor system shown in the figure, (11 a node of vibration is situated
Between 11 and b but nearer to 11 Between 11 and 12 but nearer to 12 Exactly in the middle of the shaft Nearer to 11 but outside
32 Which one of the following is not a friction clutch? Disc or plate clutch Cone clutch Centrifugal clutch Jaw clutch
Page 4of11
Indian Space Research Organisation
33 Polar moment of inertia of a circular disc is to be determined by suspending it by a wire and noting the frequency of oscillations-(j) 1 I paf2 Ipaf 1
p p
34 Pick up the wrong statement. A flywheel Is used to limit the inevitable fluctuation of speed during each cycle Controls the mean speed of rotation Stores up energy and gives up whenever required Regulates the speed during one cycle of a prime mover
35 Purpose of using differential gear in automobile is to Help in turning Control speed Avoid jerks Obtain rear movement
36 The acceleration of Simple Harmonic Motion of a pendulum is proportional to Length of pendulum Time period Angular velocity Displacement
37 A person walks up a stalled escalator in 90 seconds. When standing on the same escalator, now moving, he is carried up in 60 seconds. How much time would it take him to walk up the moving escalator? sec b)36sec . c)45sec d)54sec
38 A stone of mass m at the end of a string of length I is whirled in a vertical circle at a constant speed. The tension in the string will be maximum when the stone is At the top of the circle Half-way down from the top Quarter-was down from the top At the bottom of the circle
39 Speed of particle executing simple harmonic motion with amplitude a is half of the maximum speed. At that instant, displacement of the particle is
a 2a 3.fia
-J3 a
2 2 -J3
40 Two satellites, of masses m and 2m, are on the same circular orbit around earth. If the velocity of the lighter satellite is vo, what is the velocity of the heavier satellite?
1
1 b) Vo
20 40
41 Nu= CRemprn represents heat transfer under Free convection Forced convection Combined convection None of the above
Indian Space Research Organisation Page 5 of 11
42 If the inner and outer surfaces of a hollow cylinder (having.radiinand r2 and length are at temperatures t1 and t2then rate of radial heat flow will be
k -t2 -t2
2;rL 1 r22;rLk 1 r2
og- og
r2 r]
43 For infinite parallel planes with emissivities and the interchange factor for radiation from surface 1 to surface 2 is given by
&1&2
&2
44 For a closed system, difference between the heat added to the system and work done by the gas, is equal to the change in Internal energy Entropy Enthalpy Temperature
45 The condition for reversibility of acycle is
Cyclic fd,f 0 b) Cyclic fdi 0
fdQ 0 d) None of these
C YCIC-=
T
46 The state of a real gas if changed from pressure Ph temperature T1to pressure P2 temperature T2. The change in enthalpy, h2-h1, is given by
fCpdT
I
47 One hundredth of a kilogram of air is compressed in a piston-cylinder device. At an instant of time when T =400 the rate at which work is being done on the air is 8.165 kW, and heat is being removed at a rate of
1.0 kW, the rate of temperature rise will be 10 Kls 100 Kls 1000 Kls 10000 Kls
Indian Space Research Organisation Page 6 of 11
48 The volume V versus.temperature T graphs for a
certain amount of a perfect gas at two pressure
P1 and P2 are as shown in the figure. It can be
concluded that
T
The pressure P1 is greater than the pressure P2 The adiabatic index for P1 is higher than that for P2 P1 represents monoatomic gas and P2 represents diatomic gas None of the above
49 In the polytropic process pv" =Constant, if n=1 the process will be at
Constant volume Constant pressure
Constant temperature Adiabatic
50 In case of ideal triatomic gas, the ratio of specific heats CplCv would be a)1 1.33 1.40 1.41
51 The formation of frost on cooling coils in a refrigerator
Increases power consumption improves C.OP. of the system
Increases heat transfer Reduces power consumption
. 52 An.air-conditioned room has one of the walls, which is 5m x 3m of 3.75 cm thick brick. The conditioned space is maintained at 27°C when the outside temperature is 47°C. Variation of thermal conductivity with temperature of the wall is given by k 2xl 0-4 where T is in degree
Kelvin, and k is in WI mOK. The heat gained by the conditioned space through this wall is 849.6W b)84.96W c)800W d)0
53 A mild steel tank of wall thickness 12 mm contains water at 100°C. The atmospheric temperature is 20°C. The thermal conductivity of mild steel is 50 and the heat transfer co-efficients for inside and outside the tank are 2850 and 10 W/m2 respectively. Calculate the rate of heat loss per m2 of tank surface and the temperature of the outside surface of the tank. 300.5 45.50C 495.2 67.6oC 602.6 80.6oC 795.2 99.52oC
54 In order to burn 1 Kg of CH4 completely the minimum number of kilograms of Oxygen needed is (take atomic weight of 0 as 12, 16 respectively) a)3 b)6 c)5 d)4
55 The vector field F =xi (wheret and are unit Divergence free, but not irrotational Irrotational, but not divergence free Divergence free and irrotational Neither divergence free nor irrotational
56 d
For flow through a horizontal pipe, the pressure gradient-E in the flow
dx
direction is
+ve b)1 c)Zero
57 The transition Reynolds number for flow over a flat plate is 5 x 105• What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of (For water, the kinematic viscosity, u=O.858xIO-6 m2 1m b)0.43m c)43m d)103m
58 Between section 1 and 2 of a pipe a pump, a heater, a very rough pipe and an orifice plate are placed. The Bernoulli equation can be applied between 1 and 2 if . Orifice plate and heater are removed Heater pump and heater are remov.ed Heater and pump are removed Heater, rough pipe and orifice plates are removed
59 A one dimensional flow is one which Is uniform flow Is steady uniform flow Takes place in straight lines Involves zero transverse component of flow
60 A piece weighing 3 kg in air was found to weigh 2.5 kg when submerged in water. Its specific gravity is 1 b)5 c)6 d)7
61 The actual velocity at vena contracta for flow through an orifice from a reservoir of height ICy
62 The horizontal component of force on a curved surface is equal to the Product of pressure at its centroid and area Weight of liquid retained by the curved area Force on a vertical projection of the curved surface Weight of liquid vertically above the curved surface
Indian Space Research Organisation Page 8 of 11
63 The maximum depth from which a centrifugal pump can Dependent on the speed N of the pump Dependent on the power of the pump Around 10m Dependent on N2
64 Two pipe lines at a different
pressures, PA and PB, each carrying the same liquid of specific gravity of 51 are connected to a U tube with a
f
h z
liquid of specific gravity of 52
J
resulting in the level differences hh h2 and h3 as shown in the h1 figure. The difference in pressure 1 head between points A and B in terms of head of water is
h182+h281+ h381 b) h1 81+ h282-h381
h1 81-h282 -h381 d) h181+ h282+ h381
65 List I gives'4 dimensionless numbers and List II gives the types of forces, which are one of the constituents describing the numbers. Match list I with List II and select the correct answer using the codes given below the lists: List I List II
A. Euler number 1. Pressure force
B. Froude number 2. Gravity force
C. Reynolds number 3. Elastic force
O. Webber number 4. Surface tension
5. Viscous force
A B C D
2 3 4 5
3 2 4 5
1 2 5 4
2 1 5 4
66 A single-stage impulse turbine with a diameter of 120 cm runs at 3000 rpm. If the blade speed ratio is 0.42, then, the inlet velocity of steam will
be
79 m/s b) 188 m/s 450 m/s 900 m/s
Indian Space Research Organisation Page 9 of 11
67
68
69
70
71
72
73
For laminar flow over a flat plate, the thickness of the boundary-layer at a distance from the leading edge is found to be 5 mm. The thickness of the boundary layer at a downstream section, which is at twice the distance of the previous section from the leading edge, will be 10 mm sn mm sinmm d)2.5mm
If Uco free stream velocity, u =velocity at and 8 =boundary layer thickness, then in a boundary layer flow, the momentum thickness is given by
oUro Uro
2
oUro 2 Uro
An automobile moving at a velocity of 40km/hr is experiencing a wind
resistance of 2kN. If the automobile is moving at a velocity of 50km/hr, .the power required to overcome the wind resistance is
43.4kW 3.125 kW 2.5 kW 27.776 kW
A constant-head water tank has, on one of its vertical sides two identical small orifices issuing two horizontal jets in the same vertical plane. The vertical distance between the centers of orifices is 1.5 m and the jet trajectories intersect at a point 0.5 m below the lower orifice. What is the approximate height of water level in the tank above the point of intersection trajectories? a)1.0m b)2.5m c)0.5m d)2.0m
A unit vector perpendicular to the vectors a=2i and b=i
is
The region of the z plane for which Iz -al a is
z+a
x-axis y-axis
The straight line z =lal None of the above
If oc, f3, yare the roots of equations x3+ px2+qx+P=O
Then the value of tan-1 +tan-l f3 tan-1y is
2 n;rr 2m,
4
Indian Space Research Organisation Page 10 of 11
b+c
74 The value of the determinant 1 b c is
1 c a+b
a 1 3
4 2
76 Solution of (D2 +16)y=cos4x, is
y =Acos4x+Bsin4x+!cos4x y=Acos4.x+Bsin4x+ ;sin4x
8
y=Acos4x+Bsin4x+..!..sin4xd) y=ACOS4x+Bsin4x+; cos4x
8
77 laplace transform of t2 is
23 2 23
S3 S2S S3S2S
2 23 -223·
S3 S2S S3 S2S
78 Equation of a straight line passing through the point and making equal intercepts on the axes is
x-2y=1
79 A bag contains eight white and six red marbles. The probability of drawing two marbles of same colour is
8c2·6c2 b) 8c2 6c2
14c2 14c2 14c2
8c2 ·6c2 d) 8c2 6c2
14c2.l4c2 14c2 12c2
80 The Algebraic multiplicity of the matrix A
. 1-3
a)1 b)2 c)3
Page 11 of 11
Indian Space Research Organisation
2 Hardness of steel depends on Amount of carbon it contains The shape and distribution of the carbides in iron Method of fabrication Contents of alloying elements
3 Too high welding current in arc welding would result in Excessive spatter, under cutting along edges, irregular deposits, wasted
electrodes Excessive piling up of weld metal, poor penetration, wasted electrodes Too small bead, weak weld and wasted electrodes Excessive piling up of weld metal, overlapping without penetration of
edges, wasted electrodes
4 Which of the following processes would produce strongest components? Hot rolling Extrusion Cold rolling Forging
5 If a quantity Q is dependent on three other quantities q1, q2 and q3 related
such that Q=K x (qlrl x (qor2 x (q3 r3 then overall error
ql q2 q3 nlql n2q2 n3q3
ql q2q3
6 Which of the following has maximum hardness Austenite Pearlite Troostite Martensite
7 The main advantage of line organization is its Effective command and control Defined responsibilities at all levels Rigid discipline in the organization All of the above
8 The mathematical technique for finding the best use of limited resources in an optimum manner is known as Operation research Linear programming Network analysis Queuing theory
9 Which of the following errors are generally distributed in accordance with the Gaussian distribution Controllable errors Calibration errors Avoidable errors Random errors
Indian Space Research Organisation Page 1 of 11
10 PL3 . ... . .... ..... ....•
-Isthe deflection tinder the load P of a cantilever beam (length
3E1
modulus of elasticity moment of inertia 1). The strain energy due to bending is
P 2 L3 P 2L3
P2L3
3E1 6E1 48E1
11 A mass m attached to a light spring oscillates with a period of 2 sec. If the mass is increased by 2 kg, the period increases by 1 sec. The value ofm is a)1kg b)1.6 kg c)2kg d)2.4 kg
12 A short column of external diameter 0 and internal diameter d carries an external load W. The greatest eccentricity which the load can have without producing tension on the cross section of the column is
13 If the radius of wire stretched by a load doubled, then its Young's modulus will Be doubled Be halved Become four times None of the above
14 Longitudirial stress in a thin cylinder subjected to internal pressure is Half of the hoop stress Twice the hoop stress Equal to the hoop stress One-fourth the hoop stress
15 Maximum deflection in cantilever due to pure bending moment M at its end is
ML2 2
2
ML
ML
2E1 3E1 6E1
16 If Poisson's ratio for a material is 0.5, then the elastic modulus for the material is 3 times its shear modulus 4 times its shear modulus Equal to its shear modulus Indeterminate
17 A cantilever beam of negligible weight is carrying a mass M at its free end, and is also resting on an elastic support of stiffness k1
as shown in the figure below. If k2 represents the bending stiffness of the beam, the natural frequency of the system is
Page 2 of11
Indian Space Research Organisation
19
20
21
22
23 24
25
The figure shows 3 small spheres that rotate about a vertical axis. The perpendicular distance between the axis and the center of each sphere is given. Mass of highest rotational inertia about that axis, is
36 b)4 9
Which of the following relationships between the force F on a particle and the particles position x implies simple harmonic oscillation F=-200x2 F=lOx d)F=5x2
A mass of 100 kg is held between two springs as shown in figure. The natural frequency of vibration of the system in cycles/second is
10 b)2.
Jr Jr
1 20
2Jr Jr
The bending equation is written as
•I fE Mf2E2
MyR I YR2
M f E M2 f2 E2
IyR IyR
Hydraulic testing of boilers is done at pressures Below and above atmosphere Slightly above atmospheric pressure At half the working pressure of boiler At 1.5 to 2 times the working pressure
100 m of water column is equal to 1000 kN/m2 100 kN/m2 10 kN/m2 1 kN/m2
Gantry girders are invariably designed to resist Transverse loads only Lateral loads only Transverse and lateral loads Transverse, lateral and axial load
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the later at the same speed will be Four times the first one Same as the first one One fourth of the first one One and a half times the first one
36Kg
1m
2m 9Kg 4Kg
3m
All same
26 A thin circular disc is rolling with a uniform linear speed, along a straight . path on a plane surface. Consider the following statements in this regard:
1.
All points of the disc have the same velocity
2.
The center of the disc has zero acceleration
3.
The center of the disc has centrifugal acceleration
4.
The point on the disc making contact with the plane surface has zero acceleration
Of these statements
1 and 4 are correct 3 and 4 are correct
3 alone is correct 2 alone is correct
27 If a number of forces act on a rigid body, each force may be replaced by an equal and parallel force acting through a fixed point, together with a couple. For the rigid body to be in equilibrium Both resultant force couple must be zero The resultant couple on the body must be zero The resultant force at the fixed point must be zero None of the above need be zero ..
28 Whirling speed of a shaft coincides with the natural frequency of its Longitudinal vibration Transverse vibration Torsional vibration Coupled bending torsional vibration
.
29 A fixed gear having 200 teeth is in mesh with another gear having 50 teeth. The two gears are connected by an arm. The number of turns made by the smaller gear for one revolution of arm about the center of the bigger gear is 4 3 2 5
4
30 With symbols having the usual meanings, the single degree of freedom system, mx c.i +kx sin OJt represents Free vibrations with damping Free vibrations without damping Forced vibrations with damping Forced vibrations without damping
31 In the two -rotor system shown in the figure, (11 a node of vibration is situated
Between 11 and b but nearer to 11 Between 11 and 12 but nearer to 12 Exactly in the middle of the shaft Nearer to 11 but outside
32 Which one of the following is not a friction clutch? Disc or plate clutch Cone clutch Centrifugal clutch Jaw clutch
Page 4of11
Indian Space Research Organisation
33 Polar moment of inertia of a circular disc is to be determined by suspending it by a wire and noting the frequency of oscillations-(j) 1 I paf2 Ipaf 1
p p
34 Pick up the wrong statement. A flywheel Is used to limit the inevitable fluctuation of speed during each cycle Controls the mean speed of rotation Stores up energy and gives up whenever required Regulates the speed during one cycle of a prime mover
35 Purpose of using differential gear in automobile is to Help in turning Control speed Avoid jerks Obtain rear movement
36 The acceleration of Simple Harmonic Motion of a pendulum is proportional to Length of pendulum Time period Angular velocity Displacement
37 A person walks up a stalled escalator in 90 seconds. When standing on the same escalator, now moving, he is carried up in 60 seconds. How much time would it take him to walk up the moving escalator? sec b)36sec . c)45sec d)54sec
38 A stone of mass m at the end of a string of length I is whirled in a vertical circle at a constant speed. The tension in the string will be maximum when the stone is At the top of the circle Half-way down from the top Quarter-was down from the top At the bottom of the circle
39 Speed of particle executing simple harmonic motion with amplitude a is half of the maximum speed. At that instant, displacement of the particle is
a 2a 3.fia
-J3 a
2 2 -J3
40 Two satellites, of masses m and 2m, are on the same circular orbit around earth. If the velocity of the lighter satellite is vo, what is the velocity of the heavier satellite?
1
1 b) Vo
20 40
41 Nu= CRemprn represents heat transfer under Free convection Forced convection Combined convection None of the above
Indian Space Research Organisation Page 5 of 11
42 If the inner and outer surfaces of a hollow cylinder (having.radiinand r2 and length are at temperatures t1 and t2then rate of radial heat flow will be
k -t2 -t2
2;rL 1 r22;rLk 1 r2
og- og
r2 r]
43 For infinite parallel planes with emissivities and the interchange factor for radiation from surface 1 to surface 2 is given by
&1&2
&2
44 For a closed system, difference between the heat added to the system and work done by the gas, is equal to the change in Internal energy Entropy Enthalpy Temperature
45 The condition for reversibility of acycle is
Cyclic fd,f 0 b) Cyclic fdi 0
fdQ 0 d) None of these
C YCIC-=
T
46 The state of a real gas if changed from pressure Ph temperature T1to pressure P2 temperature T2. The change in enthalpy, h2-h1, is given by
fCpdT
I
47 One hundredth of a kilogram of air is compressed in a piston-cylinder device. At an instant of time when T =400 the rate at which work is being done on the air is 8.165 kW, and heat is being removed at a rate of
1.0 kW, the rate of temperature rise will be 10 Kls 100 Kls 1000 Kls 10000 Kls
Indian Space Research Organisation Page 6 of 11
48 The volume V versus.temperature T graphs for a
certain amount of a perfect gas at two pressure
P1 and P2 are as shown in the figure. It can be
concluded that
T
The pressure P1 is greater than the pressure P2 The adiabatic index for P1 is higher than that for P2 P1 represents monoatomic gas and P2 represents diatomic gas None of the above
49 In the polytropic process pv" =Constant, if n=1 the process will be at
Constant volume Constant pressure
Constant temperature Adiabatic
50 In case of ideal triatomic gas, the ratio of specific heats CplCv would be a)1 1.33 1.40 1.41
51 The formation of frost on cooling coils in a refrigerator
Increases power consumption improves C.OP. of the system
Increases heat transfer Reduces power consumption
. 52 An.air-conditioned room has one of the walls, which is 5m x 3m of 3.75 cm thick brick. The conditioned space is maintained at 27°C when the outside temperature is 47°C. Variation of thermal conductivity with temperature of the wall is given by k 2xl 0-4 where T is in degree
Kelvin, and k is in WI mOK. The heat gained by the conditioned space through this wall is 849.6W b)84.96W c)800W d)0
53 A mild steel tank of wall thickness 12 mm contains water at 100°C. The atmospheric temperature is 20°C. The thermal conductivity of mild steel is 50 and the heat transfer co-efficients for inside and outside the tank are 2850 and 10 W/m2 respectively. Calculate the rate of heat loss per m2 of tank surface and the temperature of the outside surface of the tank. 300.5 45.50C 495.2 67.6oC 602.6 80.6oC 795.2 99.52oC
54 In order to burn 1 Kg of CH4 completely the minimum number of kilograms of Oxygen needed is (take atomic weight of 0 as 12, 16 respectively) a)3 b)6 c)5 d)4
55 The vector field F =xi (wheret and are unit Divergence free, but not irrotational Irrotational, but not divergence free Divergence free and irrotational Neither divergence free nor irrotational
56 d
For flow through a horizontal pipe, the pressure gradient-E in the flow
dx
direction is
+ve b)1 c)Zero
57 The transition Reynolds number for flow over a flat plate is 5 x 105• What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of (For water, the kinematic viscosity, u=O.858xIO-6 m2 1m b)0.43m c)43m d)103m
58 Between section 1 and 2 of a pipe a pump, a heater, a very rough pipe and an orifice plate are placed. The Bernoulli equation can be applied between 1 and 2 if . Orifice plate and heater are removed Heater pump and heater are remov.ed Heater and pump are removed Heater, rough pipe and orifice plates are removed
59 A one dimensional flow is one which Is uniform flow Is steady uniform flow Takes place in straight lines Involves zero transverse component of flow
60 A piece weighing 3 kg in air was found to weigh 2.5 kg when submerged in water. Its specific gravity is 1 b)5 c)6 d)7
61 The actual velocity at vena contracta for flow through an orifice from a reservoir of height ICy
62 The horizontal component of force on a curved surface is equal to the Product of pressure at its centroid and area Weight of liquid retained by the curved area Force on a vertical projection of the curved surface Weight of liquid vertically above the curved surface
Indian Space Research Organisation Page 8 of 11
63 The maximum depth from which a centrifugal pump can Dependent on the speed N of the pump Dependent on the power of the pump Around 10m Dependent on N2
64 Two pipe lines at a different
pressures, PA and PB, each carrying the same liquid of specific gravity of 51 are connected to a U tube with a
f
h z
liquid of specific gravity of 52
J
resulting in the level differences hh h2 and h3 as shown in the h1 figure. The difference in pressure 1 head between points A and B in terms of head of water is
h182+h281+ h381 b) h1 81+ h282-h381
h1 81-h282 -h381 d) h181+ h282+ h381
65 List I gives'4 dimensionless numbers and List II gives the types of forces, which are one of the constituents describing the numbers. Match list I with List II and select the correct answer using the codes given below the lists: List I List II
A. Euler number 1. Pressure force
B. Froude number 2. Gravity force
C. Reynolds number 3. Elastic force
O. Webber number 4. Surface tension
5. Viscous force
A B C D
2 3 4 5
3 2 4 5
1 2 5 4
2 1 5 4
66 A single-stage impulse turbine with a diameter of 120 cm runs at 3000 rpm. If the blade speed ratio is 0.42, then, the inlet velocity of steam will
be
79 m/s b) 188 m/s 450 m/s 900 m/s
Indian Space Research Organisation Page 9 of 11
67
68
69
70
71
72
73
For laminar flow over a flat plate, the thickness of the boundary-layer at a distance from the leading edge is found to be 5 mm. The thickness of the boundary layer at a downstream section, which is at twice the distance of the previous section from the leading edge, will be 10 mm sn mm sinmm d)2.5mm
If Uco free stream velocity, u =velocity at and 8 =boundary layer thickness, then in a boundary layer flow, the momentum thickness is given by
oUro Uro
2
oUro 2 Uro
An automobile moving at a velocity of 40km/hr is experiencing a wind
resistance of 2kN. If the automobile is moving at a velocity of 50km/hr, .the power required to overcome the wind resistance is
43.4kW 3.125 kW 2.5 kW 27.776 kW
A constant-head water tank has, on one of its vertical sides two identical small orifices issuing two horizontal jets in the same vertical plane. The vertical distance between the centers of orifices is 1.5 m and the jet trajectories intersect at a point 0.5 m below the lower orifice. What is the approximate height of water level in the tank above the point of intersection trajectories? a)1.0m b)2.5m c)0.5m d)2.0m
A unit vector perpendicular to the vectors a=2i and b=i
is
The region of the z plane for which Iz -al a is
z+a
x-axis y-axis
The straight line z =lal None of the above
If oc, f3, yare the roots of equations x3+ px2+qx+P=O
Then the value of tan-1 +tan-l f3 tan-1y is
2 n;rr 2m,
4
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b+c
74 The value of the determinant 1 b c is
1 c a+b
a 1 3
4 2
76 Solution of (D2 +16)y=cos4x, is
y =Acos4x+Bsin4x+!cos4x y=Acos4.x+Bsin4x+ ;sin4x
8
y=Acos4x+Bsin4x+..!..sin4xd) y=ACOS4x+Bsin4x+; cos4x
8
77 laplace transform of t2 is
23 2 23
S3 S2S S3S2S
2 23 -223·
S3 S2S S3 S2S
78 Equation of a straight line passing through the point and making equal intercepts on the axes is
x-2y=1
79 A bag contains eight white and six red marbles. The probability of drawing two marbles of same colour is
8c2·6c2 b) 8c2 6c2
14c2 14c2 14c2
8c2 ·6c2 d) 8c2 6c2
14c2.l4c2 14c2 12c2
80 The Algebraic multiplicity of the matrix A
. 1-3
a)1 b)2 c)3
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