A 60 kg man runs up a staircase in 12 seconds while a 50 kg man runs up the same staircase in 11, seconds, the ratio of the rate of doing their work is 

(1) 6 : 5

(2) 12 : 11

(3) 11 : 10

(4) 10 : 11

Subtopic:  Power |
 77%
From NCERT
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What average horsepower is developed by an 80 kg man while climbing in 10 s a flight of stairs that rises 6 m vertically 

(1) 0.63 HP

(2) 1.26 HP

(3) 1.8 HP

(4) 2.1 HP

Subtopic:  Power |
 76%
From NCERT
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A quarter horse-power motor runs at a speed of 600 rpm. Assuming 40% efficiency, the work done by the motor in one rotation will be: 

1. 7.46 J

2. 7400 J

3. 7.46 ergs

4. 74.6 J

Subtopic:  Power |
 54%
From NCERT
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An engine pumps up 100 kg of water through a height of 10 m in 5 s. Given that the efficiency of the engine is 60% . If g = 10 ms–2, the power of the engine is

(1) 3.3 kW

(2) 0.33 kW

(3) 0.033 kW

(4) 33 kW

Subtopic:  Power |
 67%
From NCERT
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An engine pump is used to pump a liquid of density ρ continuously through a pipe of cross-sectional area A. If the speed of flow of the liquid in the pipe is v, then the rate at which kinetic energy is being imparted to the liquid is

(1) 12Aρv3

(2) 12Aρv2

(3) 12Aρv

(4) Aρv

Subtopic:  Work Energy Theorem |
 72%
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A shell initially at rest explodes into two pieces of equal mass, then the two pieces will 

(1) Be at rest

(2) Move with different velocities in different directions

(3) Move with the same velocity in opposite directions

(4) Move with the same velocity in same direction

Subtopic:  Collisions |
 85%
From NCERT
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Two solid rubber balls A and B having masses 200 gm and 400 gm respectively are moving in opposite directions with velocity of A equal to 0.3 m/s. After collision the two balls come to rest, then the velocity of B is 

(1) 0.15 m/sec

(2) 1.5 m/sec

(3) –0.15 m/sec

(4) None of the above

Subtopic:  Collisions |
 68%
From NCERT
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A cannon ball is fired with a velocity 200 m/sec at an angle of 60° with the horizontal. At the highest point of its flight ,it explodes into 3 equal fragments, one going vertically upwards with a velocity 100 m/sec, the second one falling vertically downwards with a velocity 100 m/sec. The third fragment will be moving with a velocity 

(1) 100 m/s in the horizontal direction

(2) 300 m/s in the horizontal direction

(3) 300 m/s in a direction making an angle of 60° with the horizontal

(4) 200 m/s in a direction making an angle of 60° with the horizontal

Subtopic:  Collisions |
 52%
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A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1 : 1 : 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s. The velocity of the heaviest fragment will be 

(1) 11.5 m/s

(2) 14.0 m/s

(3) 7.0 m/s

(4) 9.89 m/s

Subtopic:  Collisions |
 72%
From NCERT
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A 238U nucleus decays by emitting an alpha particle of speed v ms–1. The recoil speed of the residual nucleus is (in ms–1

(1) –4v/234

(2) v/4

(3) –4v/238

(4) 4v/238

Subtopic:  Collisions |
 69%
From NCERT
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