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Q.

Two uniform solid spheres having unequal masses and unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping,

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a

the heavier sphere reaches the bottom first

b

the bigger sphere reaches the bottom first

c

the two spheres reach the bottom together

d

the information given is not sufficient to tell which sphere will reach the bottom first.

answer is C.

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Detailed Solution

For rolling without slipping down a rough inclined plane, acceleration For a solid sphere, So both spheres will roll with same acceleration. Therefore, from  , we can conclude that option (3) is correct.
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