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Two particles of identical mass move in circular orbits under a central potential . Let  be the angular momenta and r1 , r2 be the radii of the orbits respectively. If = 2, the value r1/r2 is___________ .
Correct answer is '1.41'. Can you explain this answer?
Verified Answer
Two particles of identical mass move in circular orbits under a centra...
We know that central force is conservative in central potential field

In circular orbit

Ratio of angular momentum 

squaring both sides, we have 
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Two particles of identical mass move in circular orbits under a central potential. Let be the angular momenta and r1,r2be the radii of the orbits respectively. If = 2, the value r1/r2 is___________ .Correct answer is '1.41'. Can you explain this answer?
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