A particle is released from rest from a tower of height 3h. The ratio of the intervals of time to cover three equal height h is.

Options

A. `t_(1) : t_(2) : t_(3) = 3 : 2 : 1`
B. `t_(1) : t_(2) : t_(3) = 1 : (sqrt(2)-1) : (sqrt(3) - 2)`
C. `t_(1) : t_(2) : t_(3) = 1 : sqrt(2) : sqrt(3)`
D. `t_(1) : t_(2) : t_(3) = 1 : (sqrt(2) - 1) : (sqrt(3) - sqrt(2))`

Answer

D

Explanation

`t_(1)=sqrt((2h)/(g))`
`t_(2)=sqrt((4h)/(g))-sqrt((2h)/(g))`
`t_(3)=sqrt((6h)/(g))-sqrt((4h)/(g))`