Question:
The incorrect statement among the following is (I = Intensity of incident radiation, f = frequency of incident radiation):
The incorrect statement among the following is (I = Intensity of incident radiation, f = frequency of incident radiation):
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For photoelectric effect: \(K_\text{max} = h f - \phi\), current \(\propto I\), stopping potential independent of intensity.
Updated On: Jun 19, 2026
- Maximum kinetic energy of photoelectron varies linearly with \(f\)
- Maximum kinetic energy of photoelectron is independent of \(I\)
- Photoelectric current is directly proportional to \(I\)
- Stopping potential is proportional to \(I\)
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The Correct Option is D
Solution and Explanation
Step 1: Photoelectric effect equation.
\[ K_\text{max} = h f - \phi \] where \(K_\text{max}\) is maximum kinetic energy, \(h\) Planck’s constant, \(f\) frequency, \(\phi\) work function.
Step 2: Dependence on frequency.
Kinetic energy depends linearly on \(f\), not on intensity \(I\).
Step 3: Photoelectric current.
Current depends on the number of photons, i.e., directly proportional to \(I\).
Step 4: Stopping potential.
Stopping potential \(V_0 = K_\text{max}/e\), independent of \(I\), depends on \(f\).
Step 5: Conclusion.
Statement (4) is incorrect because stopping potential is not proportional to intensity.
\[ K_\text{max} = h f - \phi \] where \(K_\text{max}\) is maximum kinetic energy, \(h\) Planck’s constant, \(f\) frequency, \(\phi\) work function.
Step 2: Dependence on frequency.
Kinetic energy depends linearly on \(f\), not on intensity \(I\).
Step 3: Photoelectric current.
Current depends on the number of photons, i.e., directly proportional to \(I\).
Step 4: Stopping potential.
Stopping potential \(V_0 = K_\text{max}/e\), independent of \(I\), depends on \(f\).
Step 5: Conclusion.
Statement (4) is incorrect because stopping potential is not proportional to intensity.
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