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Two uniform solid spheres having unequal...

Two uniform solid spheres having unequal rdii are released from rest from the same height on a rough incline. Ilf the spheres roll without slipping

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

Text Solution

Verified by Experts

The correct Answer is:
C
In case of pure rolling, `a=(g sin theta)/(1+(I)/(mR^(2))),(I)/(mR^(2))=(2)/(5)`
`:. a=(5)/(7)g sin theta`
Since, a is independent of m and R, both spheres reach the bottom together.
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