Consider an attractive central force of the form F(r)=- k r^n , k is constant. For a stable circular orbit to exist

JEE Main Physics question

Consider an attractive central force of the form , is constant. For a stable circular orbit to exist

(A)Correct
(B)Correct
(C)
(D)Correct

Answer: (A),(B),(D)

Solution

For a power-law central force , the effective potential's second-derivative stability test shows circular orbits are stable precisely when . This immediately includes the familiar inverse-square case

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Question ID VK-154478