Gravitation Question 218

Question: If the radius of the earth decreases by 10%, the mass remaining unchanged, what will happen to the acceleration due to gravity?

Options:

A) Decreases by 19%

B)Increases by 19%

C)Decreases by more than 19%

D)Increase by more than 19%

Show Answer

Answer:

Correct Answer: D

Solution:

  • [g=GMR2] (i) [g=Gm(90100R)2=10081GMR2] (ii) From Eqs. (i) and (ii), [g=10081ggg=10081] [gg1=100811] [Δg=1981g=23 of g. So increase is more then 19% of g.


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