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imagine a new planet having the same den...

imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth is size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then find the relation between g and g'.

A

g'=3g

B

g,=9g

C

g'=g/9

D

g'=27g

Text Solution

Verified by Experts

The correct Answer is:
A

use `g=(GM)/(R^(2))=(G""(4)/(3) pi R^(3) rho)/(R^(2)) =(4)/(3) pi G rho R `
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