Mechanical Engineering (ME) 2004 GATE Paper without solution Mechanical Engineering Notes | EduRev

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Mechanical Engineering : Mechanical Engineering (ME) 2004 GATE Paper without solution Mechanical Engineering Notes | EduRev

 Page 1


GATE ME - 2004
K 
L M 
o 
o 
o 
N 
O 
m 
s
x
 
s
y
 
s
y
 
s
x
 
Q.1-30 Carry One Mark Each 
1. If ( ) ? ? = + sin x a and ( ) ? = - 1 cos , y a then 
dy
dx
will be equal to 
(a) sin 
? ? ?
? ?
? ?
2
(b) cos 
? ? ?
? ?
? ?
2
(c) tan 
? ? ?
? ?
? ?
2
(d) cot 
? ? ?
? ?
? ?
2
2. The angle between two unit-magnitude coplanar vectors P(0.86, 0.500,0) and
Q(0.259, 0.956, 0) will be
(a) 0
o
 (b) 30
o 
(c) 45
o 
(d) 60
o
3. The sum of the eigen values of the matrix given below is 
? ?
? ?
? ?
? ?
? ?
1 1 3
1 5 1
3 1 1
(a)  5 (b) 7 (c)  9 (d) 18 
4. The figure shows a pin-jointed plane truss loaded at the point M by hanging a
mass of 100 kg. The member LN of the truss is subjected to a load of
(a) 0 Newton 
(b)  490 Newtons in compression 
(c) 981 Newtons in compression 
(d) 981 Newtons in tension 
5. In terms of Poission’s ratio (v) the ratio of Young’s Modulus (E) to Shear
Modulus (G) of elastic materials is
(a) 2(1 + v) (b) 2(1 – v) (c) ( ) +
1
1
2
v (d) ( ) -
1
1
2
v
6. Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates
at 1200 rpm and transmits a torque of 20 N.m. The torque transmitted by the
gear is
(a) 6.6 Nm (b) 20 Nm (c) 40 Nm (d) 60 Nm 
7. The figure shows the state of stress at a
certain point in a stressed body. The
magnitudes of normal stresses in the x
and y direction are 100 MPa respectively.
The radius of Mohr’s stress circle
representing this state of stress is
(a)  120 (b) 80 
(c) 60 (d) 40 
Page 2


GATE ME - 2004
K 
L M 
o 
o 
o 
N 
O 
m 
s
x
 
s
y
 
s
y
 
s
x
 
Q.1-30 Carry One Mark Each 
1. If ( ) ? ? = + sin x a and ( ) ? = - 1 cos , y a then 
dy
dx
will be equal to 
(a) sin 
? ? ?
? ?
? ?
2
(b) cos 
? ? ?
? ?
? ?
2
(c) tan 
? ? ?
? ?
? ?
2
(d) cot 
? ? ?
? ?
? ?
2
2. The angle between two unit-magnitude coplanar vectors P(0.86, 0.500,0) and
Q(0.259, 0.956, 0) will be
(a) 0
o
 (b) 30
o 
(c) 45
o 
(d) 60
o
3. The sum of the eigen values of the matrix given below is 
? ?
? ?
? ?
? ?
? ?
1 1 3
1 5 1
3 1 1
(a)  5 (b) 7 (c)  9 (d) 18 
4. The figure shows a pin-jointed plane truss loaded at the point M by hanging a
mass of 100 kg. The member LN of the truss is subjected to a load of
(a) 0 Newton 
(b)  490 Newtons in compression 
(c) 981 Newtons in compression 
(d) 981 Newtons in tension 
5. In terms of Poission’s ratio (v) the ratio of Young’s Modulus (E) to Shear
Modulus (G) of elastic materials is
(a) 2(1 + v) (b) 2(1 – v) (c) ( ) +
1
1
2
v (d) ( ) -
1
1
2
v
6. Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates
at 1200 rpm and transmits a torque of 20 N.m. The torque transmitted by the
gear is
(a) 6.6 Nm (b) 20 Nm (c) 40 Nm (d) 60 Nm 
7. The figure shows the state of stress at a
certain point in a stressed body. The
magnitudes of normal stresses in the x
and y direction are 100 MPa respectively.
The radius of Mohr’s stress circle
representing this state of stress is
(a)  120 (b) 80 
(c) 60 (d) 40 
GATE ME - 2004
8. For a mechanism shown below, the mechanical advantage for the given
configuration is
(a) 0 (b) 0.5 (c) 1.0 (d) 8
9. A vibrating machine is isolated from the floor using springs. If the ratio of
excitation frequency of vibration of machine to the natural frequency of the
isolation system is equal to 0.5, the transmissibility of ratio of isolation is
(a) 
1
2
(b) 
3
4
(c) 
4
3
(d) 2 
10. A torque of 10 Nm is transmitted through a stepped shaft as shown in figure.
The torsional stiffnesses of individual sections of lengths MN, NO and OP are
20 Nm/rad, 30 Nm/rad and 60 Nm respectively. The angular deflection
between the ends M and P of the shaft is
(a)  0.5 rad (b) 1.0 rad (c) 5.0 rad (d) 10.0 rad 
11. In terms of theoretical stress concentration factor (K
t
) and fatigue stress
concentration factor (K
f
), the notch sensitivity ‘q’ is expressed as
(a) 
( )
( )
-
-
1
1
f
t
K
K
(b) 
( )
( )
-
+
1
1
f
t
K
K
(c) 
( )
( )
-
-
1
1
t
f
K
K
(d) 
( )
( )
+
-
1
1
f
t
K
K
12. The S-N curve for steel becomes asymptotic nearly at
(a) 10
3
 cycles (b) 10
4
 cycles (c) 10
6
 cycles (d) 10
9
 cycles 
13. In the window air conditioner, the expansion device used is
(a) capillary tube (b) thermostatic expansion valve 
(c) automatic expansion valve (d) float valve 
14. During chemical dehumidification process of air
M 
N 
O P 
T 
T=10 N m 
Page 3


GATE ME - 2004
K 
L M 
o 
o 
o 
N 
O 
m 
s
x
 
s
y
 
s
y
 
s
x
 
Q.1-30 Carry One Mark Each 
1. If ( ) ? ? = + sin x a and ( ) ? = - 1 cos , y a then 
dy
dx
will be equal to 
(a) sin 
? ? ?
? ?
? ?
2
(b) cos 
? ? ?
? ?
? ?
2
(c) tan 
? ? ?
? ?
? ?
2
(d) cot 
? ? ?
? ?
? ?
2
2. The angle between two unit-magnitude coplanar vectors P(0.86, 0.500,0) and
Q(0.259, 0.956, 0) will be
(a) 0
o
 (b) 30
o 
(c) 45
o 
(d) 60
o
3. The sum of the eigen values of the matrix given below is 
? ?
? ?
? ?
? ?
? ?
1 1 3
1 5 1
3 1 1
(a)  5 (b) 7 (c)  9 (d) 18 
4. The figure shows a pin-jointed plane truss loaded at the point M by hanging a
mass of 100 kg. The member LN of the truss is subjected to a load of
(a) 0 Newton 
(b)  490 Newtons in compression 
(c) 981 Newtons in compression 
(d) 981 Newtons in tension 
5. In terms of Poission’s ratio (v) the ratio of Young’s Modulus (E) to Shear
Modulus (G) of elastic materials is
(a) 2(1 + v) (b) 2(1 – v) (c) ( ) +
1
1
2
v (d) ( ) -
1
1
2
v
6. Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates
at 1200 rpm and transmits a torque of 20 N.m. The torque transmitted by the
gear is
(a) 6.6 Nm (b) 20 Nm (c) 40 Nm (d) 60 Nm 
7. The figure shows the state of stress at a
certain point in a stressed body. The
magnitudes of normal stresses in the x
and y direction are 100 MPa respectively.
The radius of Mohr’s stress circle
representing this state of stress is
(a)  120 (b) 80 
(c) 60 (d) 40 
GATE ME - 2004
8. For a mechanism shown below, the mechanical advantage for the given
configuration is
(a) 0 (b) 0.5 (c) 1.0 (d) 8
9. A vibrating machine is isolated from the floor using springs. If the ratio of
excitation frequency of vibration of machine to the natural frequency of the
isolation system is equal to 0.5, the transmissibility of ratio of isolation is
(a) 
1
2
(b) 
3
4
(c) 
4
3
(d) 2 
10. A torque of 10 Nm is transmitted through a stepped shaft as shown in figure.
The torsional stiffnesses of individual sections of lengths MN, NO and OP are
20 Nm/rad, 30 Nm/rad and 60 Nm respectively. The angular deflection
between the ends M and P of the shaft is
(a)  0.5 rad (b) 1.0 rad (c) 5.0 rad (d) 10.0 rad 
11. In terms of theoretical stress concentration factor (K
t
) and fatigue stress
concentration factor (K
f
), the notch sensitivity ‘q’ is expressed as
(a) 
( )
( )
-
-
1
1
f
t
K
K
(b) 
( )
( )
-
+
1
1
f
t
K
K
(c) 
( )
( )
-
-
1
1
t
f
K
K
(d) 
( )
( )
+
-
1
1
f
t
K
K
12. The S-N curve for steel becomes asymptotic nearly at
(a) 10
3
 cycles (b) 10
4
 cycles (c) 10
6
 cycles (d) 10
9
 cycles 
13. In the window air conditioner, the expansion device used is
(a) capillary tube (b) thermostatic expansion valve 
(c) automatic expansion valve (d) float valve 
14. During chemical dehumidification process of air
M 
N 
O P 
T 
T=10 N m 
GATE ME - 2004
(a)  dry bulb temperature and specific humidity decrease 
(b)  dry bulb temperature increases and specific humidity decreases 
(c) dry bulb temperature decreases and specific humidity increases 
(d)  dry bulb temperature and specific humidity increase 
15. At the time of starting, idling and low speed operation, the carburetor
supplies a mixture which can be termed as
(a) lean (b) slightly leaner than stoichiometric
(c) stoichimetric (d)  rich
16. One dimensional unsteady state heat transfer equation for a sphere with heat
generation at the rate of ‘q’ can be written as
(a) 
a
? ? ? ? ?
+ =
? ?
? ? ?
? ?
1 1 T q T
r
r r r k t
(b) 
a
? ? ? ? ?
+ =
? ?
? ? ?
? ?
2
2
1 1 T q
r
r r k t r
(c) 
a
? ?
+ =
? ?
2
2
1 T q T
k t r
(d) ( )
a
? ?
+ =
? ?
2
2
1 q T
rT
k t r
17. An incompressible fluid (kinematic viscosity, 7.4
-
×
7 2
10 m / s , specific gravity, 
0.88) is held between two parallel plates. If the top late is moved with a 
velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a 
linear velocity profile in the gap of 0.5 mm between these plates; the shear 
stress in Pascals on the surface of top plate is 
(a) 0.651 
-
×
3
10 (b)  0.651 
(c) 6.51 (d)  0.651 ×
3
10
18. Environment friendly refrigerant 134
a
R is used in the new generation 
domestic refrigerators. Its chemical formula is
(a) CH Cl F
2
(b) C
2
 Cl
3
 F
3
(c) C
2
 Cl
2
 F
4
(d) C
2
 H
2
 F
4
19. A fluid flow is represented by the velocity field = + +
ur r r
i , V ax ay j where a is a 
constant. The equation of streamline passing through a point (1,2) is 
(a)  x – 2y = 0 (b) 2x + y = 0 
(c) 2x – y = 0 (d) x + 2y = 0 
20. A gas contained in a cylinder is compressed, the work required for
compression being 5000 kJ. During the process, heat interaction of 200 kJ
causes the surroundings to the heated. The change in internal energy of the
gas during the process is
(a) -7000 kJ (b) –3000 kJ (c) +3000 kJ (d) + 7000 kJ 
21. The compression ratio of a gas power plant cycle corresponding to maximum
work output for the given temperature limits of 
min max
and T T will be
Page 4


GATE ME - 2004
K 
L M 
o 
o 
o 
N 
O 
m 
s
x
 
s
y
 
s
y
 
s
x
 
Q.1-30 Carry One Mark Each 
1. If ( ) ? ? = + sin x a and ( ) ? = - 1 cos , y a then 
dy
dx
will be equal to 
(a) sin 
? ? ?
? ?
? ?
2
(b) cos 
? ? ?
? ?
? ?
2
(c) tan 
? ? ?
? ?
? ?
2
(d) cot 
? ? ?
? ?
? ?
2
2. The angle between two unit-magnitude coplanar vectors P(0.86, 0.500,0) and
Q(0.259, 0.956, 0) will be
(a) 0
o
 (b) 30
o 
(c) 45
o 
(d) 60
o
3. The sum of the eigen values of the matrix given below is 
? ?
? ?
? ?
? ?
? ?
1 1 3
1 5 1
3 1 1
(a)  5 (b) 7 (c)  9 (d) 18 
4. The figure shows a pin-jointed plane truss loaded at the point M by hanging a
mass of 100 kg. The member LN of the truss is subjected to a load of
(a) 0 Newton 
(b)  490 Newtons in compression 
(c) 981 Newtons in compression 
(d) 981 Newtons in tension 
5. In terms of Poission’s ratio (v) the ratio of Young’s Modulus (E) to Shear
Modulus (G) of elastic materials is
(a) 2(1 + v) (b) 2(1 – v) (c) ( ) +
1
1
2
v (d) ( ) -
1
1
2
v
6. Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates
at 1200 rpm and transmits a torque of 20 N.m. The torque transmitted by the
gear is
(a) 6.6 Nm (b) 20 Nm (c) 40 Nm (d) 60 Nm 
7. The figure shows the state of stress at a
certain point in a stressed body. The
magnitudes of normal stresses in the x
and y direction are 100 MPa respectively.
The radius of Mohr’s stress circle
representing this state of stress is
(a)  120 (b) 80 
(c) 60 (d) 40 
GATE ME - 2004
8. For a mechanism shown below, the mechanical advantage for the given
configuration is
(a) 0 (b) 0.5 (c) 1.0 (d) 8
9. A vibrating machine is isolated from the floor using springs. If the ratio of
excitation frequency of vibration of machine to the natural frequency of the
isolation system is equal to 0.5, the transmissibility of ratio of isolation is
(a) 
1
2
(b) 
3
4
(c) 
4
3
(d) 2 
10. A torque of 10 Nm is transmitted through a stepped shaft as shown in figure.
The torsional stiffnesses of individual sections of lengths MN, NO and OP are
20 Nm/rad, 30 Nm/rad and 60 Nm respectively. The angular deflection
between the ends M and P of the shaft is
(a)  0.5 rad (b) 1.0 rad (c) 5.0 rad (d) 10.0 rad 
11. In terms of theoretical stress concentration factor (K
t
) and fatigue stress
concentration factor (K
f
), the notch sensitivity ‘q’ is expressed as
(a) 
( )
( )
-
-
1
1
f
t
K
K
(b) 
( )
( )
-
+
1
1
f
t
K
K
(c) 
( )
( )
-
-
1
1
t
f
K
K
(d) 
( )
( )
+
-
1
1
f
t
K
K
12. The S-N curve for steel becomes asymptotic nearly at
(a) 10
3
 cycles (b) 10
4
 cycles (c) 10
6
 cycles (d) 10
9
 cycles 
13. In the window air conditioner, the expansion device used is
(a) capillary tube (b) thermostatic expansion valve 
(c) automatic expansion valve (d) float valve 
14. During chemical dehumidification process of air
M 
N 
O P 
T 
T=10 N m 
GATE ME - 2004
(a)  dry bulb temperature and specific humidity decrease 
(b)  dry bulb temperature increases and specific humidity decreases 
(c) dry bulb temperature decreases and specific humidity increases 
(d)  dry bulb temperature and specific humidity increase 
15. At the time of starting, idling and low speed operation, the carburetor
supplies a mixture which can be termed as
(a) lean (b) slightly leaner than stoichiometric
(c) stoichimetric (d)  rich
16. One dimensional unsteady state heat transfer equation for a sphere with heat
generation at the rate of ‘q’ can be written as
(a) 
a
? ? ? ? ?
+ =
? ?
? ? ?
? ?
1 1 T q T
r
r r r k t
(b) 
a
? ? ? ? ?
+ =
? ?
? ? ?
? ?
2
2
1 1 T q
r
r r k t r
(c) 
a
? ?
+ =
? ?
2
2
1 T q T
k t r
(d) ( )
a
? ?
+ =
? ?
2
2
1 q T
rT
k t r
17. An incompressible fluid (kinematic viscosity, 7.4
-
×
7 2
10 m / s , specific gravity, 
0.88) is held between two parallel plates. If the top late is moved with a 
velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a 
linear velocity profile in the gap of 0.5 mm between these plates; the shear 
stress in Pascals on the surface of top plate is 
(a) 0.651 
-
×
3
10 (b)  0.651 
(c) 6.51 (d)  0.651 ×
3
10
18. Environment friendly refrigerant 134
a
R is used in the new generation 
domestic refrigerators. Its chemical formula is
(a) CH Cl F
2
(b) C
2
 Cl
3
 F
3
(c) C
2
 Cl
2
 F
4
(d) C
2
 H
2
 F
4
19. A fluid flow is represented by the velocity field = + +
ur r r
i , V ax ay j where a is a 
constant. The equation of streamline passing through a point (1,2) is 
(a)  x – 2y = 0 (b) 2x + y = 0 
(c) 2x – y = 0 (d) x + 2y = 0 
20. A gas contained in a cylinder is compressed, the work required for
compression being 5000 kJ. During the process, heat interaction of 200 kJ
causes the surroundings to the heated. The change in internal energy of the
gas during the process is
(a) -7000 kJ (b) –3000 kJ (c) +3000 kJ (d) + 7000 kJ 
21. The compression ratio of a gas power plant cycle corresponding to maximum
work output for the given temperature limits of 
min max
and T T will be
GATE ME - 2004
(a) 
( )
?
?-
? ?
? ?
? ?
2 1
max
min
T
T
(b) 
( )
?
?-
? ?
? ?
? ?
2 1
min
max
T
T
(c) 
?
?
-
? ?
? ?
? ?
1
max
min
T
T
(d) 
?
?
-
? ?
? ?
? ?
1
min
max
T
T
22. In an interchangeable assembly, shafts of size
+
-
0.040
0.0100
25.000 mm mate with 
holes of size
+
-
0.020
0.000
25.000 mm. The maximum possible clearance in the 
assembly will be
(a) 10 microns (b)  20 microns 
(c) 30 microns (d)  60 microns 
23. During the execution of a CNC part program block
NO20  GO2  X45.0  Y25.0  R5.0 the type of tool motion will be
(a) circular Interpolation - clockwise
(b) circular Interpolation - counterclockwise
(c) linear Interpolation
(d) rapid feed
24. The mechanism of material removal in EDM process is
(a) Melting and Evaporation (b)  Melting and Corrosion 
(c) Erosion and Cavitation (d) Cavitation and Evaporation 
25. Two 1 mm thick steel sheets are to be spot welded at a current of 5000 A.
Assuming effective resistance to be 200 micro-ohms and current flow time of
0.2 second, heat generated during the process will be
(a) 0.2 Joule (b)  1 Joule 
(c) 5 Joule (d)  1000 Joules 
26. In PERT analysis a critical activity has
(a) maximum Float (b)  zero Float 
(c) maximum Cost (d)  minimum Cost 
27. For a product, the forecast and the actual sales for December 2002 were 25
and 20 respectively. If the exponential smoothing constant (a) is taken as
0.2, the forecast sales for January 2003 would be
(a) 21 (b) 23 (c) 24 (d) 27 
28. There are two products P and Q with the following characteristics
Page 5


GATE ME - 2004
K 
L M 
o 
o 
o 
N 
O 
m 
s
x
 
s
y
 
s
y
 
s
x
 
Q.1-30 Carry One Mark Each 
1. If ( ) ? ? = + sin x a and ( ) ? = - 1 cos , y a then 
dy
dx
will be equal to 
(a) sin 
? ? ?
? ?
? ?
2
(b) cos 
? ? ?
? ?
? ?
2
(c) tan 
? ? ?
? ?
? ?
2
(d) cot 
? ? ?
? ?
? ?
2
2. The angle between two unit-magnitude coplanar vectors P(0.86, 0.500,0) and
Q(0.259, 0.956, 0) will be
(a) 0
o
 (b) 30
o 
(c) 45
o 
(d) 60
o
3. The sum of the eigen values of the matrix given below is 
? ?
? ?
? ?
? ?
? ?
1 1 3
1 5 1
3 1 1
(a)  5 (b) 7 (c)  9 (d) 18 
4. The figure shows a pin-jointed plane truss loaded at the point M by hanging a
mass of 100 kg. The member LN of the truss is subjected to a load of
(a) 0 Newton 
(b)  490 Newtons in compression 
(c) 981 Newtons in compression 
(d) 981 Newtons in tension 
5. In terms of Poission’s ratio (v) the ratio of Young’s Modulus (E) to Shear
Modulus (G) of elastic materials is
(a) 2(1 + v) (b) 2(1 – v) (c) ( ) +
1
1
2
v (d) ( ) -
1
1
2
v
6. Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates
at 1200 rpm and transmits a torque of 20 N.m. The torque transmitted by the
gear is
(a) 6.6 Nm (b) 20 Nm (c) 40 Nm (d) 60 Nm 
7. The figure shows the state of stress at a
certain point in a stressed body. The
magnitudes of normal stresses in the x
and y direction are 100 MPa respectively.
The radius of Mohr’s stress circle
representing this state of stress is
(a)  120 (b) 80 
(c) 60 (d) 40 
GATE ME - 2004
8. For a mechanism shown below, the mechanical advantage for the given
configuration is
(a) 0 (b) 0.5 (c) 1.0 (d) 8
9. A vibrating machine is isolated from the floor using springs. If the ratio of
excitation frequency of vibration of machine to the natural frequency of the
isolation system is equal to 0.5, the transmissibility of ratio of isolation is
(a) 
1
2
(b) 
3
4
(c) 
4
3
(d) 2 
10. A torque of 10 Nm is transmitted through a stepped shaft as shown in figure.
The torsional stiffnesses of individual sections of lengths MN, NO and OP are
20 Nm/rad, 30 Nm/rad and 60 Nm respectively. The angular deflection
between the ends M and P of the shaft is
(a)  0.5 rad (b) 1.0 rad (c) 5.0 rad (d) 10.0 rad 
11. In terms of theoretical stress concentration factor (K
t
) and fatigue stress
concentration factor (K
f
), the notch sensitivity ‘q’ is expressed as
(a) 
( )
( )
-
-
1
1
f
t
K
K
(b) 
( )
( )
-
+
1
1
f
t
K
K
(c) 
( )
( )
-
-
1
1
t
f
K
K
(d) 
( )
( )
+
-
1
1
f
t
K
K
12. The S-N curve for steel becomes asymptotic nearly at
(a) 10
3
 cycles (b) 10
4
 cycles (c) 10
6
 cycles (d) 10
9
 cycles 
13. In the window air conditioner, the expansion device used is
(a) capillary tube (b) thermostatic expansion valve 
(c) automatic expansion valve (d) float valve 
14. During chemical dehumidification process of air
M 
N 
O P 
T 
T=10 N m 
GATE ME - 2004
(a)  dry bulb temperature and specific humidity decrease 
(b)  dry bulb temperature increases and specific humidity decreases 
(c) dry bulb temperature decreases and specific humidity increases 
(d)  dry bulb temperature and specific humidity increase 
15. At the time of starting, idling and low speed operation, the carburetor
supplies a mixture which can be termed as
(a) lean (b) slightly leaner than stoichiometric
(c) stoichimetric (d)  rich
16. One dimensional unsteady state heat transfer equation for a sphere with heat
generation at the rate of ‘q’ can be written as
(a) 
a
? ? ? ? ?
+ =
? ?
? ? ?
? ?
1 1 T q T
r
r r r k t
(b) 
a
? ? ? ? ?
+ =
? ?
? ? ?
? ?
2
2
1 1 T q
r
r r k t r
(c) 
a
? ?
+ =
? ?
2
2
1 T q T
k t r
(d) ( )
a
? ?
+ =
? ?
2
2
1 q T
rT
k t r
17. An incompressible fluid (kinematic viscosity, 7.4
-
×
7 2
10 m / s , specific gravity, 
0.88) is held between two parallel plates. If the top late is moved with a 
velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a 
linear velocity profile in the gap of 0.5 mm between these plates; the shear 
stress in Pascals on the surface of top plate is 
(a) 0.651 
-
×
3
10 (b)  0.651 
(c) 6.51 (d)  0.651 ×
3
10
18. Environment friendly refrigerant 134
a
R is used in the new generation 
domestic refrigerators. Its chemical formula is
(a) CH Cl F
2
(b) C
2
 Cl
3
 F
3
(c) C
2
 Cl
2
 F
4
(d) C
2
 H
2
 F
4
19. A fluid flow is represented by the velocity field = + +
ur r r
i , V ax ay j where a is a 
constant. The equation of streamline passing through a point (1,2) is 
(a)  x – 2y = 0 (b) 2x + y = 0 
(c) 2x – y = 0 (d) x + 2y = 0 
20. A gas contained in a cylinder is compressed, the work required for
compression being 5000 kJ. During the process, heat interaction of 200 kJ
causes the surroundings to the heated. The change in internal energy of the
gas during the process is
(a) -7000 kJ (b) –3000 kJ (c) +3000 kJ (d) + 7000 kJ 
21. The compression ratio of a gas power plant cycle corresponding to maximum
work output for the given temperature limits of 
min max
and T T will be
GATE ME - 2004
(a) 
( )
?
?-
? ?
? ?
? ?
2 1
max
min
T
T
(b) 
( )
?
?-
? ?
? ?
? ?
2 1
min
max
T
T
(c) 
?
?
-
? ?
? ?
? ?
1
max
min
T
T
(d) 
?
?
-
? ?
? ?
? ?
1
min
max
T
T
22. In an interchangeable assembly, shafts of size
+
-
0.040
0.0100
25.000 mm mate with 
holes of size
+
-
0.020
0.000
25.000 mm. The maximum possible clearance in the 
assembly will be
(a) 10 microns (b)  20 microns 
(c) 30 microns (d)  60 microns 
23. During the execution of a CNC part program block
NO20  GO2  X45.0  Y25.0  R5.0 the type of tool motion will be
(a) circular Interpolation - clockwise
(b) circular Interpolation - counterclockwise
(c) linear Interpolation
(d) rapid feed
24. The mechanism of material removal in EDM process is
(a) Melting and Evaporation (b)  Melting and Corrosion 
(c) Erosion and Cavitation (d) Cavitation and Evaporation 
25. Two 1 mm thick steel sheets are to be spot welded at a current of 5000 A.
Assuming effective resistance to be 200 micro-ohms and current flow time of
0.2 second, heat generated during the process will be
(a) 0.2 Joule (b)  1 Joule 
(c) 5 Joule (d)  1000 Joules 
26. In PERT analysis a critical activity has
(a) maximum Float (b)  zero Float 
(c) maximum Cost (d)  minimum Cost 
27. For a product, the forecast and the actual sales for December 2002 were 25
and 20 respectively. If the exponential smoothing constant (a) is taken as
0.2, the forecast sales for January 2003 would be
(a) 21 (b) 23 (c) 24 (d) 27 
28. There are two products P and Q with the following characteristics
GATE ME - 2004
Product Demand (Units) 
Order Cost 
(Rs/order) 
Holding Cost 
(Rs./unit/year) 
P 
Q 
100 
400 
50 
50 
4 
1 
The economic order quantity (EOQ) of products P and Q will be in the ratio 
(a) 1:1 (b) 1:2 (c) 1:4 (d) 1:8 
29. Misrun is a casting defect which occurs due to
(a) very high pouring temperature of the metal
(b) insufficient fluidity of the molten metal
(c) absorption of gases by the liquid metal
(d) improper alignment of the mould flasks
30. The percentage of carbon in gray cast iron is in the range of
(a) 0.25 to 0.75 percent (b)  1.25 to 1.75 percent 
(c) 3 to 4 percent (d)  8 to 10 percent 
Q. 31-90 Carry Two Marks Each 
31. The following data about the flow of liquid was observed in a continuous
chemical process plant
Flow rate 
(litres/sec) 
7.5 
to 
7.7 
7.7 
to 
7.9 
7.9 
to 
8.1 
8.1 
to 
8.3 
8.3 
to 
8.5 
8.5 
to 
8.7 
Frequency 1 5 35 17 12 10 
Mean flow rate of the liquid is 
(a) 8.00 litres/sec (b)  8.096 litres/sec 
(c) 8.16 litres/sec (d)  8.26 litres/sec 
32. From a pack of regular playing cards, two cards are drawn at random. What is
the probability that both cards will be Kings, if the first card is NOT replaced?
(a) 
1
26
(b) 
1
52
(c) 
1
169
(d)
1
221
33. A delayed unit step function is defined as ( ) {
0 for t<a
1 for t a
. u t a
=
- = Its Laplace 
transform is
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