The ratio of the weights of a body on the Earth's surface to that on the surface of a planet is 9:4. The mass of the planet is 91th 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)
A
3R
B
2R
C
4R
D
9R
Hard
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is B)
Since mass of the object remains same ∴ Weight of object will be proportional to ′g′ (acceleration due to gravity) Given WplanarWearth=49gplanetgearth Also, gsurface=R2GM (M is mass planet, G is universal gravitational constant, R is radius of planet)