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Two cylinders, one hollow (metal) and th...

Two cylinders, one hollow (metal) and the other solid (wood) with the same mass identical dimensions are simulataneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.
by the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.

A

Statement I is True, Statement II is True, Statement ll is a correct explanation for Statement I.

B

Statement I is True, Statement II is True, Statement II is NOT a correct explanation for Statement I

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

Verified by Experts

The correct Answer is:
D
`a=(gsintheta)/(1+I_(CM)/(mR^(2))), I_(CM)` of hollow cylinder is less so it will have more acceleration and will take less time to reach the bottom.
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