ISRO Past Year Paper (Mechanical) - 2016 | GATE, ISRO & IES/ESE Previous Year Solved Papers - Mechanical Engineering PDF Download

 Page 1


ISRO Scientist or Engineer Mechanical 2016
               
              
               
 
  
.
Page 2


ISRO Scientist or Engineer Mechanical 2016
               
              
               
 
  
.
Mechanical
Instructions
For the following questions answer them individually
Question 1
Starting from the same initial conditions, an ideal gas expands from volume , to , in three different ways, the work done by the
gas is , if the process is purely isothermal, , if purely isobaric and , if purely adiabatic, then
A    
B    
C    
D    
Answer: A
Question 2
A beaker filled with hot water in a room cools from  to  in  minutes,  to  in  minutes and from  to 
 in  minutes. Then,
A    
B    
C    
D    cannot be concluded
Answer: C
Question 3
A house refrigerator with its door open is switched on in a closed room. Theair in the room is
A    cooled
B    remains at same temperature
C    heated
D    heated or cooled depending on atmospheric pressure
Answer: C
Question 4
An elevator has a mass of 5000 kg. When thetension in the supporting cable is 60 kN, the acceleration of the elevator is nearly
A    8 m/s
B    12 m/s
C    -2 m/s
D    2 m/s
Answer: D
V 1 V 2
W 1 W 2 W 3
W > 2 W > 1 W 3
W > 2 W > 3 W 1
W > 1 W > 2 W 3
W > 1 W > 3 W 2
7 0 C
°
6 5 C
°
t 1 6 5 C
°
6 0 C
°
t 2 6 0 C
°
5 5 C
°
t 3
t > 1 t > 2 t 3
t = 1 t = 2 t 3
t < 1 t < 2 t 3
2
2
2
2
  
.
Page 3


ISRO Scientist or Engineer Mechanical 2016
               
              
               
 
  
.
Mechanical
Instructions
For the following questions answer them individually
Question 1
Starting from the same initial conditions, an ideal gas expands from volume , to , in three different ways, the work done by the
gas is , if the process is purely isothermal, , if purely isobaric and , if purely adiabatic, then
A    
B    
C    
D    
Answer: A
Question 2
A beaker filled with hot water in a room cools from  to  in  minutes,  to  in  minutes and from  to 
 in  minutes. Then,
A    
B    
C    
D    cannot be concluded
Answer: C
Question 3
A house refrigerator with its door open is switched on in a closed room. Theair in the room is
A    cooled
B    remains at same temperature
C    heated
D    heated or cooled depending on atmospheric pressure
Answer: C
Question 4
An elevator has a mass of 5000 kg. When thetension in the supporting cable is 60 kN, the acceleration of the elevator is nearly
A    8 m/s
B    12 m/s
C    -2 m/s
D    2 m/s
Answer: D
V 1 V 2
W 1 W 2 W 3
W > 2 W > 1 W 3
W > 2 W > 3 W 1
W > 1 W > 2 W 3
W > 1 W > 3 W 2
7 0 C
°
6 5 C
°
t 1 6 5 C
°
6 0 C
°
t 2 6 0 C
°
5 5 C
°
t 3
t > 1 t > 2 t 3
t = 1 t = 2 t 3
t < 1 t < 2 t 3
2
2
2
2
  
.
Question 5
The piston of a steam engine moves with simple harmonic motion. The speed of rotation of crank is 120 rpm with a stroke of 2m.
Whatis the velocity of piston whenit is 0.5 m from
the centre?
A    
B    
C    
D    
Answer: C
Question 6
The sine of the angle between the two vectors  and  is
A    
B    
C    
D    
Answer: A
Question 7
Equation of the line normal to function  at P(0, 5) is
A    y = 3x - 5
B    3y = x - 15
C    3y = x + 15
D    y = 3x + 5
Answer: D
Question 8
There are 20 locks and 20 matching keys. Maximum number of trials required to match all the locks is
A    190
B    210
C    400
D    40
Answer: B
4 p
3
p
3
2 p
3
3 p
3
a = 3 i + j + k b = 2 i - 2 j + k
9 9
7 4
9 9
2 5
9 9
3 7
5 1
5
f ( x ) = ( x - 8 ) +
3
2
1
  
.
Page 4


ISRO Scientist or Engineer Mechanical 2016
               
              
               
 
  
.
Mechanical
Instructions
For the following questions answer them individually
Question 1
Starting from the same initial conditions, an ideal gas expands from volume , to , in three different ways, the work done by the
gas is , if the process is purely isothermal, , if purely isobaric and , if purely adiabatic, then
A    
B    
C    
D    
Answer: A
Question 2
A beaker filled with hot water in a room cools from  to  in  minutes,  to  in  minutes and from  to 
 in  minutes. Then,
A    
B    
C    
D    cannot be concluded
Answer: C
Question 3
A house refrigerator with its door open is switched on in a closed room. Theair in the room is
A    cooled
B    remains at same temperature
C    heated
D    heated or cooled depending on atmospheric pressure
Answer: C
Question 4
An elevator has a mass of 5000 kg. When thetension in the supporting cable is 60 kN, the acceleration of the elevator is nearly
A    8 m/s
B    12 m/s
C    -2 m/s
D    2 m/s
Answer: D
V 1 V 2
W 1 W 2 W 3
W > 2 W > 1 W 3
W > 2 W > 3 W 1
W > 1 W > 2 W 3
W > 1 W > 3 W 2
7 0 C
°
6 5 C
°
t 1 6 5 C
°
6 0 C
°
t 2 6 0 C
°
5 5 C
°
t 3
t > 1 t > 2 t 3
t = 1 t = 2 t 3
t < 1 t < 2 t 3
2
2
2
2
  
.
Question 5
The piston of a steam engine moves with simple harmonic motion. The speed of rotation of crank is 120 rpm with a stroke of 2m.
Whatis the velocity of piston whenit is 0.5 m from
the centre?
A    
B    
C    
D    
Answer: C
Question 6
The sine of the angle between the two vectors  and  is
A    
B    
C    
D    
Answer: A
Question 7
Equation of the line normal to function  at P(0, 5) is
A    y = 3x - 5
B    3y = x - 15
C    3y = x + 15
D    y = 3x + 5
Answer: D
Question 8
There are 20 locks and 20 matching keys. Maximum number of trials required to match all the locks is
A    190
B    210
C    400
D    40
Answer: B
4 p
3
p
3
2 p
3
3 p
3
a = 3 i + j + k b = 2 i - 2 j + k
9 9
7 4
9 9
2 5
9 9
3 7
5 1
5
f ( x ) = ( x - 8 ) +
3
2
1
  
.
Question 9
If  is a scalar function and , then  is
A    Irrational
B    Harmonic
C    Irrotational
D    Solenoidal
Answer: B
Question 10
A and B are two candidates appearing for an interview by a company. The probability that A is selected is 0.5 and the probability that
both A and B are selected is at most 0.3. The probability of B getting selected is
A    0.9
B    
C    
D    0.5
Answer: C
Question 11
The reading ofa spring balance is from 0 to 200 N and is 10 cm long. A body suspended from the spring balance is observed to
oscillate vertically at 2 Hz. The mass of the body is nearly
A    22.5 kg
B    12.5 kg
C    37 kg
D    45 kg
Answer: B
Question 12
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up to a height d/2. Neglecting the
subsequent motion and air resistance, its velocity (v) varies with height (h) above the ground as
A    
? ( x , y , z ) ? f =
2
0 ?
= 0 . 3
= 0 . 6
  
.
Page 5


ISRO Scientist or Engineer Mechanical 2016
               
              
               
 
  
.
Mechanical
Instructions
For the following questions answer them individually
Question 1
Starting from the same initial conditions, an ideal gas expands from volume , to , in three different ways, the work done by the
gas is , if the process is purely isothermal, , if purely isobaric and , if purely adiabatic, then
A    
B    
C    
D    
Answer: A
Question 2
A beaker filled with hot water in a room cools from  to  in  minutes,  to  in  minutes and from  to 
 in  minutes. Then,
A    
B    
C    
D    cannot be concluded
Answer: C
Question 3
A house refrigerator with its door open is switched on in a closed room. Theair in the room is
A    cooled
B    remains at same temperature
C    heated
D    heated or cooled depending on atmospheric pressure
Answer: C
Question 4
An elevator has a mass of 5000 kg. When thetension in the supporting cable is 60 kN, the acceleration of the elevator is nearly
A    8 m/s
B    12 m/s
C    -2 m/s
D    2 m/s
Answer: D
V 1 V 2
W 1 W 2 W 3
W > 2 W > 1 W 3
W > 2 W > 3 W 1
W > 1 W > 2 W 3
W > 1 W > 3 W 2
7 0 C
°
6 5 C
°
t 1 6 5 C
°
6 0 C
°
t 2 6 0 C
°
5 5 C
°
t 3
t > 1 t > 2 t 3
t = 1 t = 2 t 3
t < 1 t < 2 t 3
2
2
2
2
  
.
Question 5
The piston of a steam engine moves with simple harmonic motion. The speed of rotation of crank is 120 rpm with a stroke of 2m.
Whatis the velocity of piston whenit is 0.5 m from
the centre?
A    
B    
C    
D    
Answer: C
Question 6
The sine of the angle between the two vectors  and  is
A    
B    
C    
D    
Answer: A
Question 7
Equation of the line normal to function  at P(0, 5) is
A    y = 3x - 5
B    3y = x - 15
C    3y = x + 15
D    y = 3x + 5
Answer: D
Question 8
There are 20 locks and 20 matching keys. Maximum number of trials required to match all the locks is
A    190
B    210
C    400
D    40
Answer: B
4 p
3
p
3
2 p
3
3 p
3
a = 3 i + j + k b = 2 i - 2 j + k
9 9
7 4
9 9
2 5
9 9
3 7
5 1
5
f ( x ) = ( x - 8 ) +
3
2
1
  
.
Question 9
If  is a scalar function and , then  is
A    Irrational
B    Harmonic
C    Irrotational
D    Solenoidal
Answer: B
Question 10
A and B are two candidates appearing for an interview by a company. The probability that A is selected is 0.5 and the probability that
both A and B are selected is at most 0.3. The probability of B getting selected is
A    0.9
B    
C    
D    0.5
Answer: C
Question 11
The reading ofa spring balance is from 0 to 200 N and is 10 cm long. A body suspended from the spring balance is observed to
oscillate vertically at 2 Hz. The mass of the body is nearly
A    22.5 kg
B    12.5 kg
C    37 kg
D    45 kg
Answer: B
Question 12
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up to a height d/2. Neglecting the
subsequent motion and air resistance, its velocity (v) varies with height (h) above the ground as
A    
? ( x , y , z ) ? f =
2
0 ?
= 0 . 3
= 0 . 6
  
.
B    
C    
D    
Answer: A
Question 13
A 10 kW drilling machineis used to drill a bore in a small aluminium block of mass 8 kg. How much is the rise in temperature of the
block in 2.5 minutes, assuming 50% of power is used up in heating the block? (specific-heat of aluminum : 0.91 J/( ))
A    
B    
C    
D    
Answer: C
Question 14
In the figure shown, the minimum ratio of  so that the masses move together with the application of force F is
A    5
g C
°
5 0 C
°
2 0 6 C
°
1 0 3 C
°
2 2 7 C
°
µ 2
µ 1
  
.