Question

A planet has same density and same acceleration due to gravity as of earth and universal gravitational constant G is twice of earth. The ratio of their radius:

Options

• 1 : 4

• 1 : 5

• 1 : 2

• 3 : 2

Answer 1

1 : 2

Explanation:

`"g"_"e"/"g"_"P" = ("G"_"e" 4/3π"R"_"e"^3ρ"R"_"p"^2)/("G"_"P"4/3π"R"_"P"^3ρ"R"_"e"^2)`

`"R"_"P"/"R"_"e" = 1/2`