The electron in any hydrogen atom jump on absorbing $12.75 \mathrm{eV}$ of energy would jump to.......orbit.

The electron in any hydrogen atom jump on absorbing $12.75 \mathrm{eV}$ of energy would jump to.......orbit.
  1. $3$
  2. $2$
  3. $5$
  4. $4$

Solution

The transition energy for hydrogen atom is given by, $\Delta E=-R\left[\frac{1}{n_2^2}-\frac{1}{n_1^2}\right]$ When $R=13.6 \mathrm{eV}, n_1=1, n_2=$ ? Given, $\Delta E=12.75 \mathrm{eV}$ $12.75=-13.6\left[\frac{1}{n_2^2}-\frac{1}{1^2}\right]$ $-0.9375=\frac{1}{n_2^2}-1$ $\begin{aligned} & \frac{1}{n_2^2}=-0.9375+1 \\ & n_2^2=16 \\ & n_2=4\end{aligned}$

Asked in: AP EAMCET 2021 (24 Aug Shift 2)

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