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If the density of a planet is constant, ...

If the density of a planet is constant, then the curve between value of g on its surface and its radius r will be-

A

B

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D

Text Solution

Verified by Experts

The correct Answer is:
A
Here r is the radius of the planet. Then, the acceleration due to gravity at the surface of the planet,
`g=(GM)/(r^(2))=(G_(rho)(4)/(3)pir^(3))/(r^(2))=(4)/(3)piGrhor`
This meang increases linearly with increase in r, keeping density constant. Hence, the graph is straight line.
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