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Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e.  F1/r3, but still remaining a central force. Then

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By Expert Faculty of Sri Chaitanya
a
Kepler's law of areas still holds
b
Kepler's law of period still holds
c
Kepler's law of areas and period still hold
d
Neither the law of areas, nor the law of period still holds
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detailed solution

Correct option is D

F=GMmr3 mv2r=GMmr3 v=GMr2=GMr T=2πrV=2πrGMr=2πr2GM T2=4π2r4GM Both the kepler  laws does not hold good


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