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Q.

A solid sphere rolls down two different inclined planes of the same height but of different inclinations:

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a

the speeds will be same but time of descent will be different

b

in both cases, the speeds and time of descent will be same

c

speeds and time of descent both will be different

d

the speeds will be different but time of descent will be same

answer is A.

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Detailed Solution

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 As v=2gh1+IMR2

Hence velocity is independent of the inclination of the plane and depends only on height h through which body descends. But because t=1sinθ2hg1+IMR2 depends on the inclination also, hence greater the inclination lesser will be the time of descend. Hence, in present case, the speeds will be same (because h is same) but time is descend will be different (because of different inclinations)

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