Question

The ratio of escape velocity at earth `(v_(e))` to the escape velocity at a planet `(v_(y))` whose radius and density are twice
A. `1:sqrt(2)`
B. `1:2`
C. `1:2sqrt(2)`
D. `1:4`

Answer 1

Correct Answer - C
`ve=sqrt((2GM)/R) =sqrt((2G)/R. (4/3 piR^(3) rho)) prop Rsqrt(rho)`
`:. Ratio =1:2sqrt(2)`