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JEE PHYSICS MCQ: WORK-ENERGY-POWER

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A bullet of mass mm moving at a speed vv hits a ball of mass MM kept at rest. A small part having mass m′m^{\prime} breaks from the ball and sticks to the bullet. The remaining ball is found to move at a speed v1v_1 in the direction of the bullet. Find the velocity of the bullet after the collision.
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Correct option: A
mv−(M−m′)v1m+m′\frac{m v-\left(M-m^{\prime}\right) v_1}{m+m^{\prime}}
Option A (mv−(M−m′)v1m+m′\frac{{m v - (M - m^{\prime}) v_1}}{{m + m^{\prime}}}) is correct because it is derived from the conservation of momentum principle during the collision.

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