Consider two solid spherical asteriod of uniform density of mass `M` and radius `R`. In one asteroid a tunnel tof very small size of depth `R` is bored to the centre and in other asteroid a spherical into the cavities of both asteroids from the top most point `P`. If force experienced by particle is `F_(I)` and `F_(II)`

Options

A. The ratio of `F_(I)//F_(II)` is equal to `2x//R`
B. The ratio of `F_(I)//F_(II)` is equal to `x//R`
C. The ratio of `T_(I)//T_(II)` is equal to `pi//4`
D. The ratio of `T_(I)//T_(II)` is equal to `pi//2`

Answer

A, C

Explanation

NA