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AIIMS2018Physics-Laws of Motion

AIIMS 2018 Physics Impulse and Momentum MCQ Question

Type: MCQ-numerical-Medium-Class 11

A ball of mass 10 g moving perpendicular to the plane of the wall strikes it and rebounds in the same line with the same velocity. If the impulse experienced by the wall is 0.54 Ns, the velocity of the ball is

A

27 m/s

B

3.7 m/s

C

54 m/s

D

37 m/s

Correct Answer

Option A

Detailed Explanation

To calculate the impulse experienced by the ball, we use the formula for impulse, which is equal to the change in momentum. Given that the mass m=0.01 kgm = 0.01 \, \text{kg} and assuming the velocity before impact is vv and after impact is −v-v, the change in momentum is Δp=mv−(−mv)=2mv\Delta p = mv - (-mv) = 2mv. Substituting the values, we find Δp=2×0.01 kg×v\Delta p = 2 \times 0.01 \, \text{kg} \times v. If we assume v=27 m/sv = 27 \, \text{m/s}, then Δp=0.54 Ns\Delta p = 0.54 \, \text{Ns}, making option A correct.

Options B, C, and D are incorrect as they do not correspond to the calculated impulse based on the given mass and the assumed velocity. Each option represents a different potential calculation, but only option A aligns with the correct application of the impulse-momentum theorem.

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