rmv2=F....(1)mvr=2πnh⇒v=2πmrnh....(2) From equation (1) rm(2πmrnh)2=F⇒4π2mFn2 h2=r3⇒r3∝n2⇒r∝n2/3 From (2) v∝rn∝n2/3n⇒v∝n1/3
A particle of mass m is moving around the origin with a constant force F pulling it towards the origin. If Bohr model is used to describe its motion, the radius r of the nth orbit and the particle's speed v in the orbit depend on n as
Held on 30 Apr 2025 · Verified 9 Jul 2026.
r∝n1/3;v∝n1/3
r∝n1/3;v∝n2/3
r∝n2/3;v∝n1/3
r∝n4/3;v∝n−1/3
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