If F is the force between two bodies of masses m1 and m2 at certain separation, then what is the force between √5m1 and √3m2 at same separation?
A
√5F
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B
F√15
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C
√15F
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D
F
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Solution
The correct option is C√15F Force between bodies of masses m1 & m2 will be F=Gm1m2r2⋯(1) Force b/w bodies of masses √5m1&√3m2 will be F′=G√5m1×√3m2r2⋯(2) Dividing eqn (1) by eqn (2) FF′=1√15⇒F′=√15F