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Q.

If the mass of the sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct ?

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a

Rain drops will fall faster

b

Walking on the ground would become more difficult

c

‘g’ on the Earth will not change

d

Time period of a simple pendulum on the Earth would decrease

answer is C.

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Detailed Solution

Acceleration at a radial distance 'r' from the surface of earth is given by g = GMer2 .So increase in mass of earth does not affect 'g' but due to increase in 'G' value of 'g' on earth increases.

Time of fall of rain drops =2hg.Time period of simple pendulum is T ==2πlg

Also more the value of 'g' more the walking becomes difficult.

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If the mass of the sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct ?