Consider a planet in some solar system which has a mass double the mass of the earth and density equal to the average density of the earth. An object weighing W on the earth will weigh

Options

A. 2 w
B. 3 w
C. 3/w
D. `2^(1//3)w`

Answer

d

Explanation

`V_(P)=2V_(e)`
`(4pi)/(3)xxR_(p)^(3)=2(4pi)/(3)xxR_(e)^(3)`
`therefore" "R_(p)=root3(2)R_(e)`
`F_(p)=(GM_(p)m)/(R_(p)^(2))`