STATEMENT -1 Two cylinders, one hollow (metal) and the othe…

Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

STATEMENT -1

Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously 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.

and

STATEMENT -2

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.

STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is a correct explanation for STATEMENT -1

STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is NOT a correct explanation for STATEMENT -1

STATEMENT -1 is True, STATEMENT -2 is False

STATEMENT -1 is False, STATEMENT -2 is True.

Text Solution

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The correct answer is:

The acceleration of centre of mass of either cylinder

a = where K is radius of gyration.

So acceleration of centre of hollow cylinder

is less than that of solid cylinder.

Hence time taken by hollow cylinder will be more.

So statement-1 is wrong.

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