In any Bohr orbit of hydrogen atom, the ratio of K.E to P.E of revolving electron at a distance '…

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
  1. $-1$
  2. $+\frac{1}{2}$
  3. 1
  4. $-\frac{1}{2}$

Solution

kinetic energy $\quad \mathrm{k}=\frac{1}{8 \pi \epsilon_{0}} \cdot \frac{\mathrm{e}^{2}}{\mathrm{r}}$ Potential energy $P=-\frac{1}{4 \pi \epsilon_{\mathrm{o}}} \cdot \frac{\mathrm{e}^{2}}{\mathrm{r}}$ $\therefore \frac{\mathbf{k}}{\mathrm{p}}=-\frac{1}{2}$

Asked in: MHT CET 2020 (14 Oct Shift 1)

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