Two particles of identical mass move in circular orbits under a central potential V (r) = Let I1and I2be the angular momenta r1r2 be radii of the orbits respecandshy;tively. If the value of isCorrect answer is '1.4'. Can you explain this answer?

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Two particles of identical mass move in circular orbits under a central potential V (r) =

Let I₁ and I₂ be the angular momenta r₁ r₂ be radii of the orbits respectively. If

the value of

Correct answer is '1.4'. Can you explain this answer?

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Two particles of identical mass move in circular orbits under a centra...

We know that, central force is conservative in central potential field

Here, (-) sign indicates the direction of force which is radially inward
In circular orbit,

Ratio of angular momenta =

Squaring both sides, we have

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Two particles of identical mass move in circular orbits under a central potential V (r) = Let I1and I2be the angular momenta r1r2 be radii of the orbits respectively. If the value of isCorrect answer is '1.4'. Can you explain this answer?

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