In the figure shown, a ball without sliding on a horizontal, surface. It ascends a curved track up to height `h` returns. The value of h is `h_(1)` for sufficiently rough curved track to avoid sliding and is `h_(2)` for smooth curved track then A. `h_(1)=h_(2)`B. `h_(1)lth_(2)`C. `h_(1)gth_(2)`D. `h_(2)=2h_(1)`

In the figure shown, a ball without sliding on a horizontal, surface.

1.	In the figure shown, a ball without sliding on a horizontal, surface. It ascends a curved track up to height `h` returns. The value of h is `h_(1)` for sufficiently rough curved track to avoid sliding and is `h_(2)` for smooth curved track then A. `h_(1)=h_(2)`B. `h_(1)lth_(2)`C. `h_(1)gth_(2)`D. `h_(2)=2h_(1)`
Answer» Correct Answer - C If the track is smooth (case `A`) only translational kintetic energy changes to gravitational potential energy. But,if the track is rough (case `B`) both translational and rotational kinetic energies change to potential energy. Therefore potential energy `(=mgh)` will be more in case `B` than in case `A`. Hence `h_(1)lth_(2)`

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