Gravitation Question 107

Question: A mass M is split into two parts, m and (M?m), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts [AMU 2000]

Options:

A) 1/3

B) 1/2

C) 1/4

D) 1/5

Show Answer

Answer:

Correct Answer: B

Solution:

[F=Gm(Mm)r2] For maximum force [dFdm=0] Þ[ddm(GmMr2Gm2r2)=0] Þ[M2m=0,,mM=12]



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