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NEET UG PHYSICS MCQ: WORK-ENERGY-POWER

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A rubber ball is dropped from a height of 5 m on a planet, where the acceleration due to gravity is not known. On bouncing it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of
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Correct option: B
25\frac{2}{5}
Option B (25\frac{2}{5}) is correct because the coefficient of restitution is the ratio of the final to initial velocity. The velocity is proportional to the square root of the height, so the ratio of velocities is 1.8/5=9/25=3/5\sqrt{1.8/5} = \sqrt{9/25} = 3/5. The ball loses its velocity by a factor of 1 - 3/5 = 2/5.

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