If the radius of the earth were increased by factor of 2 keeping the mass constant, then the factor by which its density has to be changed to keep g, the same is

Q: If the radius of the earth were increased by factor of 2 keeping the mass constant, then the factor by which its density has to be changed to keep g, the same is

(a) 1/8

(b) 1/4

(c) 4

(d) 1/2

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Ans: (d)