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 (ν0\nu_0) is incident on it.
  • To suppress the emission of electrons, a negative potential (called the stopping potential VsV_s) 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:

  • Kmax=hνϕK_{\text{max}} = h\nu - \phi

The stopping potential VsV_s is related to the maximum kinetic energy as:

  • eVs=Kmax=hνϕeV_s = K_{\text{max}} = h\nu - \phi

Since VsV_s is directly proportional to the frequency ν\nu, it varies linearly with frequency (for ν>ν0\nu > \nu_0).
 Reason (R) is also correct.

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