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A particle is moving in a circular orbit of radius r under the influence of an attractive central force. Assume the Bohr quantization condition to hold. It is found that the frequency of revolution of the particle is independent of quantum number n. So, the force is proportional to (a) 1/r 2 (b) 1/r (C) r 2 (d) r

A particle is moving in a circular orbit of radius r under the influence of an attractive central force. Assume the Bohr quantization condition to hold. It is found that the frequency of revolution of the particle is independent of quantum number n. So, the force is proportional to
(a) 1/r2
(b) 1/r
(C) r2
(d) r

Grade:12

1 Answers

Pooja
127 Points
4 years ago
Since angular momentum is quantized, the centripetal force for an electron is balanced by the electric force of attraction between the nucleus and electron.
 
So mv2/r = kZe2/r2
 
Hence F is proportional to 1/r2
 
 
 
 
 
 
 

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