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Question

The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h from rest, without sliding is

A
gh
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B
(6/5)gh
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C
(4/3)gh
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D
(10/7)gh
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Solution

The correct option is D (10/7)gh
For a solid sphere rolling down from height h,

v=  2gh1+IMR2
and for sphere I=25MR2
v=  2gh1+25=107gh
Hence, the correct answer is option (d).

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