Two disc with same mass but different radii are moving with same K.E. One of them rolls and other slides without friction. Then Option 1) Rolling disc has greater velocity Option 2) Sliding disc has greater velocity Option 3) Both have same velocity Option 4) The disc with greater radius will have greater velocity

As we learnt in

Rolling of a body on an inclined plane -

$a= \frac{g\sin \Theta }{1+\frac{K^{2}}{R^{2}}}$

$f= \frac{mg\sin \Theta }{1+\frac{R^{2}}{K^{2}}}$

- wherein

$\Theta$ = Angle of inclination

Sliding disc has greater velocity.

Option 1)

Rolling disc has greater velocity

Incorrect

Option 2)

Sliding disc has greater velocity

correct

Option 3)

Both have same velocity

Incorrect

Option 4)

The disc with greater radius will have greater velocity

Incorrect

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