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Question: Answered & Verified by Expert
The kinetic energy of the electron in an orbit of radius $r$ in hydrogen atom is proportional to ( $e=$ electronic charge $)$
PhysicsAtomic PhysicsMHT CETMHT CET 2022 (06 Aug Shift 1)
Options:
  • A $\frac{e^2}{4 r}$
  • B $\frac{e^2}{2 r}$
  • C $\frac{e^2}{r}$
  • D $\frac{e^2}{2 r^2}$
Solution:
1551 Upvotes Verified Answer
The correct answer is: $\frac{e^2}{2 r}$
The potential energy of the electron in the nth orbit of radius $r$ in Hatom, $U=\frac{e^2}{r}$ (in CGS)
$\because$ K.E. $=\frac{1}{2} \mid$ P.E. $\mid \Rightarrow K=\frac{e^2}{2 r}$

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