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Atoms and Nuclei question

2025 · Q145
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Atoms and Nuclei question

2025 · Q145

NEETPhysicsAtoms and NucleiMCQ+4 / −1

A particle of mass mmm is moving around the origin with a constant force FFF pulling it towards the origin. If Bohr model is used to describe its motion, the radius of the nth n^{\text {th }}nth  orbit and the particle's speed vvv in the orbit depend on nnn as

  1. A
    r∝n2/3;v∝n1/3r \propto n^{2 / 3} ; v \propto n^{1 / 3}r∝n2/3;v∝n1/3
  2. B
    r∝n4/3;v∝n−1/3r \propto n^{4 / 3} ; v \propto n^{-1 / 3}r∝n4/3;v∝n−1/3
  3. C
    r∝n1/3;v∝n1/3r \propto n^{1 / 3} ; v \propto n^{1 / 3}r∝n1/3;v∝n1/3
  4. D
    r∝n1/3;v∝n2/3r \propto n^{1 / 3} ; v \propto n^{2 / 3}r∝n1/3;v∝n2/3
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