A man can jump `1.5m` on the Earth. Calculate the approximate height he might be able to jump on a planet whose density is one-quarter that of the Earth and whose radius is one-third that of the Earth.

Options

A. 1.5 m
B. 15 m
C. 18 m
D. 28 m

Answer

C

Explanation

`H=(u^2)/(2g)rArrHprop1/g`
`(H_A)/(H_B)=(g_b)/(g_A)=(p/4xx1/3R)/(pR)=1/12[g=4/3GpipR)`
`rArrH_B=12H_A=12xx1.5=18m`