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JEE PHYSICS MCQ: WORK-ENERGY-POWER

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The velocity vector of a sphere after it hits a vertical wall which is parallel to j^\hat{j} is (−i^+3j^)(-\hat{i}+3 \hat{j}) on a smooth horizontal surface. The coefficient of restitution between ball and wall is (1/2). Find the velocity vector of sphere immediately before collision.
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Correct option: D
2i^+3j^2 \hat{i}+3 \hat{j}
Option D (2i^+3j^2 \hat{i}+3 \hat{j}) is correct because the component of velocity parallel to the wall remains unchanged, and the perpendicular component is reversed and scaled by the coefficient of restitution.

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