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AP EAMCET · PHYSICS · Dual Nature of Matter

Photons of frequencies equal to the frequencies of \(H_\beta\) and \(H_{\infty}\) lines of hydrogen incident on a photosensitive plate, whose threshold frequency is equal to the frequency of \(H_\alpha\) line of hydrogen. The ratio of the maximum kinetic energies of the emitted electrons is

  1. A 7 : 16
  2. B 3 : 4
  3. C 8 : 27
  4. D 5 : 36
Verified Solution

Answer & Solution

Correct Answer

(A) 7 : 16

Step-by-step Solution

Detailed explanation

Energy of photons of \[ \begin{aligned} \mathrm{H}_\alpha \text { line }=\Delta E(3 & \rightarrow 2) \\ & =13.6\left(\frac{1}{4}-\frac{1}{9}\right)=\frac{13.6 \times 5}{36}=1.89 \mathrm{eV} \end{aligned} \] Energy of photons of \(\mathrm{H}_\beta\) line…