A small particle of mass m moves in such a way that the potential energy U = `ar^(2)` where 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, find the radius of `n^(th)` allowed orbit.
A
`n^(2)`
B
n
C
`sqrt(n)`
D
none of these
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