A ball moves over a fixed track as shown in thre figure. From A to B the ball rolls without slipping. If surface BC is frictionless and `K_(A),K_(B)` and `K_(C)` are kinetic energies of the ball at A, B and C respectively then
(a). `h_(A)gth_(C),K_(B)gtK_(C)`
(b). `h_(A)gth_(C),K_(C)gtK_(A)`
(c). `h_(A)=h_(C),K_(B)=K_(C)`
(d). `h_(A)lth_(C),K_(B)gtK_(C)`

Explanation

On smooth part BC, due to zero torque, angular velocity and hence the rotational kinetic energy remains constant. While moving from B to C translational kinetic energy `therefore` the correct option is (a).