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Atoms and Nuclei question

2019 · 12 Jan · Shift 1 · Q69
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Atoms and Nuclei question

2019 · 12 Jan · Shift 1 · Q69

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1
A particle of mass m moves in a circular orbit in a central potential field U(r) = 12{1 \over 2}21​ kr2. If Bohr 's quantization conditions are applied, radii of possible orbitls and energy levels vary with quantum number n as :
  1. A
    rn ∝n\propto \sqrt n∝n​, En ∝\propto∝ n
  2. B
    rn ∝n\propto \sqrt n∝n​, En ∝1n\propto {1 \over n}∝n1​
  3. C
    rn ∝\propto∝ n, En ∝\propto∝ n
  4. D
    rn ∝\propto∝ n2, En ∝1n2\propto {1 \over {{n^2}}}∝n21​
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