The gravitational field strength at the surface of a certain planet is g. Which of the following is the gravitational field strength at the surface of a planet with twice the mass?

Options

A. `g//2`
B. g
C. 2g
D. 4g.

Answer

A

Explanation

`E=(GM)/(R^(2))=g(R^(2))/(R^(2))=g`
`(E.)/(E )=(g.)/(g)=(M^(1))/(M)xx(R^(2))/(R^(2,))=(2M)/(M)=(R^(2))/(4R^(2))=(1)/(2)`
`therefore E.=(E )/(2)=(g)/(2)`.
So correct choice is (a).