A ring and a disc of same mass and same diameter are rolling without slipping. Their linear velocities are same, then the ratio of their kinetic energy is

Step-by-step solution

For ring, K ^2 R ^2 =1 For disc, K ^2 R ^2 = 1 2 aligned & ( K . E )_ ring ( K . E )_ disc = [ 1 2 mv ^2 (1+ K ^2 R ^2 ) ]_ ring [ 1 2 mv ^2 (1+ K ^2 R ^2 ) ]_ disc & = (1+1) (1+ 1 2 ) = 2 2 3 =1.33 aligned