A body of mass m is situated on the earth in the gravitational field of sun. For the body to escape from the gravitation pull of the solar system the body must be imparted an escape velocity of (assume earth to be stationary)

Options

A. 11 .2 km/s
B. 22.4 km/s
C. 33.6 km/s
D. 42 km/s

Answer

D

Explanation

Escape velocity is ` v = sqrt((2GM_(s))/(R_(s))`
or `v = sqrt((2xx 667 xx 10^(-11)xx2xx10^(30))/(15 xx 10^(11))`
or `v = sqrt((4 xx667 xx 10^(8))/(15)) ~~ 42 km//s`