The ratio of the weights of a body on the earth’s surface, so that on the surface of a planet is 9 : 4. The mass of the planet is $\frac{1}{9}{\rm{th}}$ of that of the earth. If $R$ is the radius of the earth, what is the radius of the planet? (Take, the planets to have the same mass density)

JEE PHYSICS MCQ: GRAVITATION

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The ratio of the weights of a body on the earth’s surface, so that on the surface of a planet is 9 : 4. The mass of the planet is

\frac{1}{9}\mathrm{th}

of that of the earth. If

R

is the radius of the earth, what is the radius of the planet? (Take, the planets to have the same mass density)

View answer and explanation

Correct option: D

\frac{R}{2}

Option D (

\frac{R}{2}

) is correct because the radius of the planet is found to be half of the Earth's radius using the given ratio of weights and mass.

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