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COMEDK · Physics · 27. Dual Nature of Matter

The threshold frequency for a metal surface is '\(n_0\)'. A photo electric current '\(I\)' is produced when it is exposed to a light of frequency \(\left(\dfrac{11}{6}\right) \mathrm{n}_{\mathrm{o}}\) and intensity \(\mathrm{I}_{\mathrm{n}}\). If both the frequency and intensity are halved, the new photoelectric current '\(\mathrm{I}^1\)' will become:

  1. A \(\mathrm{I}^1=2 \mathrm{I}\)
  2. B \(\mathrm{I^1=0}\)
  3. C \(\mathrm{I}^1=\dfrac{1}{2} \mathrm{I}\)
  4. D \(\mathrm{I}^1=\dfrac{1}{4} \mathrm{I}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{I^1=0}\)

Step-by-step Solution

Detailed explanation

The photoelectric effect occurs only when the incident frequency \(\nu\) is greater than or equal to the threshold frequency \(\nu_0\). Initially, the incident frequency is \(\nu_1 = \dfrac{11}{6}\nu_0\). Since \(\nu_1 > \nu_0\), photoelectric emission occurs, and the current is…