The ratio of the height of the mountain and the depth of a mine, if a pendulum swings with the same period at the top of the mountain and at the bottom of the mine is

Options

A. `1 : 1`
B. `1 : 2`
C. `2 : 1`
D. `4 : 1`

Answer

B

Explanation

`T_(n)=T_(d)`
`2pisqrt((l)/(g_(h)))=2pisqrt((l)/(g_(d)))`
`g_(h)=g_(d)`
`1-(2h)/(R)=1-(d)/(R)`
`2h=d`
`(h)/(d)=(1)/(2)`