In the previous questions, if the mass of the body is half the mass of the earth, and all other data remain the same, then `t` is equal to

Options

A. `sqrt(2H//g)`
B. `sqrt(H//g)`
C. `sqrt(2H//3g)`
D. `sqrt(4H//3g)`

Answer

D

Explanation

`m/2x_(1)=mx_(2)implies x_(2)=x_(1)//2`
`x_(1)+x_(2)=H implies x_(1)+(x_(2))/2=Himplies x_(1)=(2H)/3`
`x_(1)=(2H)/3=1/2"gt"^(2)implies t=sqrt((4H)/(3g))`