An object is given a quick push up an inclined plane. It slides up and then comes back down. It is known that the ratio of the ascent time `(t_("up"))` to the descent time `(t_("dawn"))` is equal to the coefficient of kinetic friction `(mu)`. Find the angle `theta` that the inclined plane makes with the horizontal. Also find the range of `mu` for which the situation described is possible. Assume, that the coefficient of static and kinetic friction are equal.

Options

A. `t_(1)gt t_(2)`
B. `t_(1)lt t_(2)`
C. The retardation of the block while moving up is `g(sin theta+mu cos theta)`.
D. The acceleration of the block while down is `g(sin theta-mu cos theta)`.

Answer

B, C, D