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Work, Energy and Power

JEE Main 2024 (Online) 8th April Morning ShiftMCQEasy📈 Topic in 21% papers+4−1
Ques. 1JEE Main 2024, 8 April (Morning Shift)

Three bodies A, B and C have equal kinetic energies and their masses are 400 g, 1.2 kg and 1.6 kg respectively. The ratio of their linear momenta is :

  1. 1 : 3 : 2
  2. 3 : 2 : 1
  3. 1 : 3 : 2
  4. 2 : 3 : 1

Answer

(1) 1 : 3 : 2

Solution

p = 2mK; K same ⇒ p m

pA : pB : pC = 0.4 : 1.2 : 1.6

= 1 : 3 : 4 = 1 : 3 : 2

Answer: (1)

Keep practising — Work, Energy and Power

Ques. 2JEE Main 2024, 8 April (Evening Shift)

[figure] A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :

  1. 6 m
  2. 5 m
  3. 1 m
  4. 2 m
Ques. 3JEE Main 2024, 6 April (Morning Shift)

A bullet of mass 50 g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s. The percentage loss of kinetic energy is :

  1. 44\%
  2. 16\%
  3. 84\%
  4. 32\%
Ques. 4JEE Main 2024, 6 April (Morning Shift)

Four particles A, B, C, D of mass m2, m, 2m, 4m, have same momentum, respectively. The particle with maximum kinetic energy is :

  1. B
  2. C
  3. D
  4. A
Ques. 5JEE Main 2024, 6 April (Evening Shift)

When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be :

  1. 60%
  2. 500%
  3. 6%
  4. 600%
Ques. 6JEE Main 2024, 5 April (Morning Shift)

A body of mass 50 kg is lifted to a height of 20 m from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases, will be : [figure]

  1. 2 : 1
  2. 3 : 2
  3. 1 : 1
  4. 1 : 2
Ques. 7JEE Main 2024, 5 April (Evening Shift)

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to :

  1. t2/3
  2. t3/2
  3. t
  4. t2
Ques. 8JEE Main 2024, 4 April (Morning Shift)

If a rubber ball falls from a height h and rebounds upto the height of h/2. The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are :

  1. 50\%, 2gh
  2. 50\%, gh
  3. 50\%, gh2
  4. 40\%, 2gh
Ques. 9JEE Main 2024, 4 April (Evening Shift)

A body of m kg slides from rest along the curve of vertical circle from point A to B in frictionless path. The velocity of the body at B is: [figure] (given, R = 14 m, g = 10 m/s2 and 2 = 1.4)

  1. 10.6 m/s
  2. 19.8 m/s
  3. 16.7 m/s
  4. 21.9 m/s
Ques. 10JEE Main 2024, 1 February (Morning Shift)

A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10-2 kg moving with a speed of 2 102 ms-1. The bullet gets embedded into the bob. The height to which the bob rises before swinging back is : (use g=10 m/s2)

  1. 0.20 m
  2. 0.40 m
  3. 0.30 m
  4. 0.35 m
Ques. 11JEE Main 2024, 31 January (Evening Shift)

A body of mass 2 kg begins to move under the action of a time dependent force given by F= (6t i+6t2 j ) N. The power developed by the force at the time t is given by:

  1. (3t3+6t5 ) W
  2. (9t5+6t3 ) W
  3. (6t4+9t5 ) W
  4. (9t3+6t5 ) W

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