The ratio of radii of earth to another planet is `2//3` and the ratio of their mean densities is `4//5`. If an astronaut can jump to a maximum height of `1.5 m` on the earth, with the same effort, the maximum height he can jump on the planet is

Options

A. 1 m
B. 0.8 m
C. 0.5 m
D. 0.16m

Answer

B

Explanation

`(r_1)/(r_2)=2/3,(p_1)/(p_2)=4/5`
`g=4/3piGpR`
`H=(u^2)/grArrHpropg`
`(H_1)/(H_2)=(p_1r_1)/(p_2r_2)=4/5xx2/3=8/15`
`rArr1.5xx8/15=H_2rArrH_2=0.8m`