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Atoms and Nuclei question

2023 · 6 Apr · Shift 2 · Q60
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Atoms and Nuclei question

2023 · 6 Apr · Shift 2 · Q60

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1
A small particle of mass mmm moves in such a way that its potential energy U=12m ω2r2U=\frac{1}{2} m ~\omega^{2} r^{2}U=21​m ω2r2 where ω\omegaω is constant and rrr is the distance of the particle from origin. Assuming Bohr's quantization of momentum and circular orbit, the radius of nth n^{\text {th }}nth  orbit will be proportional to,
  1. A
    n\sqrt{n}n​
  2. B
    n2n^{2}n2
  3. C
    1n\frac{1}{n}n1​
  4. D
    nnn
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