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A small particle of mass m move in such ...

A small particle of mass m move in such a way the potential energy `(U = (1)/(2) m^(2) omega^(2) r^(2))` when a is a constant and r is the distance of the particle from the origin Assuming Bohr's model of quantization of angular momentum and circular orbits , show that radius of the nth allowed orbit is proportional to in

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A small particle of mass m moves in such a way that the potential energy U=(1)/(2)m omega^(2)r^(2) , where omega is a constant and r is the distance of the particle from the origin. Assuming Bohr's model of quantisation of angular momentum and circular orbits. Find the radius of the n^(th) orbit.

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