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Question: Answered & Verified by Expert
In any Bohr orbit of hydrogen atom, the ratio of K.E to P.E of revolving electron at a distance ' $\mathrm{r}^{\prime}$ from the nucleus is
PhysicsAtomic PhysicsMHT CETMHT CET 2020 (14 Oct Shift 1)
Options:
  • A $-1$
  • B $+\frac{1}{2}$
  • C 1
  • D $-\frac{1}{2}$
Solution:
1874 Upvotes Verified Answer
The correct answer is: $-\frac{1}{2}$
kinetic energy $\quad \mathrm{k}=\frac{1}{8 \pi \epsilon_{0}} \cdot \frac{\mathrm{e}^{2}}{\mathrm{r}}$
Potential energy $P=-\frac{1}{4 \pi \epsilon_{\mathrm{o}}} \cdot \frac{\mathrm{e}^{2}}{\mathrm{r}}$
$\therefore \frac{\mathbf{k}}{\mathrm{p}}=-\frac{1}{2}$

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