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A small particle of mass m moves in such a way that its potential energy U = 2 1 m  2 r 2 where  is constant and r is the distance of the particle from origin. Assuming Bohr’s quantization of momentum and circular orbit, the radius of n th orbit will be proportional to

1. n
2. n 1
3. n 2
4. n

Correct answer: n

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