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A particle of mass m moves in a circular orbit in a central potential field U(r) = 2 kr 2 1 . If Bohr 's quantization conditions are applied, radii of possible orbitls and energy levels vary with quantum number n as :

1. r n ∝ n , E n ∝ n
2. r n ∝ n , E n ∝ n 1
3. r n ∝ n, E n ∝ n
4. r n ∝ n 2 , E n ∝ 2 n 1

Correct answer: r n ∝ n , E n ∝ n

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