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Assertion: If the frequency of incident light is below the threshold frequency, no electrons will be emitted from the metal surface, irrespective of the intensity of the incident light.

Reasoning: The photoelectric effect equation states that the kinetic energy of the emitted electrons depends on the frequency of the incident light and the work function of the metal surface. If the frequency of incident light is below the threshold frequency, the energy of the photons will be insufficient to overcome the work function of the metal surface and no electrons will be emitted.

Option: 1

Both Assertion and Reasoning are true, and the Reasoning is the correct explanation of the Assertion.

 


Option: 2

Both Assertion and Reasoning are true, but the Reasoning is not the correct explanation of the Assertion.


Option: 3

Assertion is true, but Reasoning is false.

 


Option: 4

Assertion is false, but Reasoning is true.


Answers (1)

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Correct option a) Both Assertion and Reasoning are true, and the Reasoning is the correct explanation of the Assertion.

The Assertion is true, as the threshold frequency is defined as the minimum frequency of incident light required to cause the emission of electrons. If the frequency of incident light is below the threshold frequency, the energy of the photons will be insufficient to overcome the work function of the metal surface and no electrons will be emitted.

The Reasoning is also true, as it correctly explains why no electrons will be emitted if the frequency of incident light is below the threshold frequency. The energy of the photons is given by \mathrm{E = h\nu}, where h is Planck's constant and \mathrm{ \nu} is the frequency of the incident light. If the energy of the photons is less than the work function of the metal surface, then no electrons will be emitted.

Therefore, both the Assertion and Reasoning are true, and the Reasoning is the correct explanation of the Assertion.

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Ajit Kumar Dubey

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