Q116 / 150 · MHT CET 2024 (11 May Shift 1) · Physics

The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (a) second to first energy level and (b) highest energy level to second level is

  • A
    $1: 3$
  • Correct answer
    B
    $3: 1$
  • C
    $1: 2$
  • D
    $4: 1$

Solution

Let $E_1$ be the energy of the first energy level, then $E_2=\frac{E_1}{4}$ For highest level $\mathrm{E}_{\infty}=0$ $\begin{array}{ll} \therefore & E_2-E_1=\frac{E_1}{4}-E_1=-\frac{3}{4} E_1 \\ & E_{\infty}-E_2=0-\frac{E_1}{4}=-\frac{E_1}{4} \\ \therefore & \frac{E_2-E_1}{E_{\infty}-E_2}=3: 1 \end{array}$

Hence, the correct answer is option: 'B'.

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