The electron of a hydrogen atom makes a transition from the $(n+1)^{\text {th }}$ orbit to the $n^{\text {th…

The electron of a hydrogen atom makes a transition from the $(n+1)^{\text {th }}$ orbit to the $n^{\text {th }}$ orbit. For large $\mathrm{n}$ the wavelength of the emitted radiation is proportional to
  1. $n$
  2. $n^3$
  3. $n^4$
  4. $n^2$

Solution

If $n_1=n$ and $n_2=n+1$ Maximum wavelength $\lambda_{\max }=\frac{n^2\left(n+1^2\right)}{(2 n+1 R)}$ Therefore, for large $\mathrm{n}, \lambda_{\max } \propto n^3$

Asked in: JEE Main 2012 (07 May Online)

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