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Q.

A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by:

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a

200%

b

100%

c

68%

d

41%

answer is D.

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Detailed Solution

P=mv=m2gh⇒P∝hP2−P1P1×100%=h2−h1h1×100=h2h1−1×100200100−1×100=2−1×100=0.414×100=41%
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