Suppose the law of gravitational attraction suddenly changes and becomes an inverse cube law i.e. F∝1/r3, but still remaining a central force. Then

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Kepler's law of areas still holds

Kepler's law of period still holds

Kepler's law of areas and period still hold

Neither the law of areas, nor the law of period still holds

answer is D.

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Detailed Solution

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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