Q.

Imagine a new planet having the same density as that of earth but it is three times bigger than the earth in 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 :

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a

g' = 3g

b

g' = 9g

c

g'=g9

d

g' = 27g

answer is A.

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Detailed Solution

Use g=GMR2=43πGρR
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Imagine a new planet having the same density as that of earth but it is three times bigger than the earth in 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 :