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Q.

In photoelectric effect match the following Columns :

 Column – I  Column – II
(A)If frequency of incident light is Increased (P)Stopping potential does not change  
(B)If intensity of incident light is Increased (Q)Stopping potential must increase
(C)If work function of metal is increased(R)Photoelectric effect may stop  
(D)Work function is independent of Incident light frequency(S)True

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a

A – R; B – S; C – Q; D – R

b

A – S; B – Q; C – P; D – R

c

A – Q; B – P; C – R; D – S 

d

A – P; B – S; C – Q; D – R  

answer is A.

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Detailed Solution

In the photoelectric effect, the relationships between incident light and the resulting electron emission can be summarized as follows:

Column IColumn II
(A) If the frequency of incident light is increased(Q) Stopping potential must increase
(B) If the intensity of incident light is increased(P) Stopping potential does not change
(C) If the work function of the metal is increased(R) Photoelectric effect may stop
(D) Work function is independent of incident light frequency(S) True

Explanation:

(A) Frequency Increase: Increasing the frequency of the incident light raises the energy of the photons. This results in photoelectrons with higher kinetic energy, necessitating a higher stopping potential to halt them.

(B) Intensity Increase: Increasing the intensity of the incident light raises the number of photons but does not change their energy. Therefore, the stopping potential remains unchanged.

(C) Work Function Increase: The work function is the minimum energy required to eject an electron from the metal surface. If the work function increases beyond the energy of the incident photons, electron emission ceases, stopping the photoelectric effect.

(D) Work Function Independence: The work function is a property intrinsic to the metal and does not depend on the frequency of the incident light. It remains constant regardless of the light's frequency.

Based on these explanations, the correct matching is:

  • A – Q
  • B – P
  • C – R
  • D – S

Final Answer

A – Q; B – P; C – R; D – S

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