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Q.
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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a
(A) is false but (R) is true.
b
Both (A) and (R) are true and (R) is the correct explanation of (A).
c
(A) is true but (R) is false.
d
Both (A) and (R) are true but (R) is not the correct explanation of (A).
answer is D.
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Detailed Solution
Assertion (A):
- In the photoelectric effect, electrons are emitted from a metal surface when light of frequency greater than the threshold frequency () is incident on it.
- To suppress the emission of electrons, a negative potential (called the stopping potential ) is applied to the metal surface.
- If this potential is large enough, it can completely stop the most energetic photoelectrons from reaching the anode.
Assertion (A) is correct.
Reason (R):
According to Einstein’s photoelectric equation:
The stopping potential is related to the maximum kinetic energy as:
Since is directly proportional to the frequency , it varies linearly with frequency (for ).
Reason (R) is also correct.