Atoms & Nuclei

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3 of 239

Question 3 of 239

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Emission of electrons in photoelectric effect can be suppressed by applying a sufficiently negative electron potential to the photoemissive substance.

Reason (R) : A negative electric potential, which stops the emission of electrons from the surface of a photoemissive substance, varies linearly with frequency of incident radiation.

In the light of the above statements, choose the most appropriate answer from the options given below :

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Answer: (D) Both \((\mathbf{A})\) and \((\mathbf{R})\) are true but \((\mathbf{R})\) is not the correct explanation of \((\mathbf{A})\)

Assertion (A) is true because a sufficiently negative potential can repel and stop the emitted electrons from leaving the surface.
Reason (R) is also true because the stopping potential \(V_{\text {stop }}\) varies linearly with the frequency \(\nu\) of the incident light \(\left(V_{\text {stop }}=\frac{h}{e} \nu-\frac{\phi}{e}\right)\).

However, (R) does not directly explain why a negative potential suppresses electron emission; it only shows how much potential is needed for different frequencies.

Therefore, both (A) and (R) are true, but (R) is not the correct explanation of (A).

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