Length AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B.  If AB=BC, then ratio of translational kinetic energy to rotational kinetic energy when the cylinder reaches point C is :

For a cylinder  if Kr is translational KE and KR is rotational KEin case of pure rolling upto B: and After B: Rotational kinetic energy is constant however transitional kinetic energy increases.At C: while  Alternative solution:For journey from A to B, conserving energy we can write For solid cyliner,   At B, rotational K.E, Also for journey from B to C, loss in P.E. is converted into additional translational K.E. so KET at C =