Dual Nature Of Light Question 369

Question: The cathode of a photoelectric cell is changed such that the work function changes from $ W_{1} $ to $ W_{2}(W_{2}>W_{1}). $ If the current before and after changes are $ I_{1} $ and $ I_{2} $ . all other conditions remaining unchanged, then (assuming $ hv>W_{2} $ )

Options:

A) $ I_{1}=I_{2} $

B) $ I_{1}<I_{2} $

C) $ I_{1}>I_{2} $

D) $ I_{1}<I_{2}<2I_{1} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The work function has no effect on photoelectric current so long as $ hv>W_{0}. $ The photoelectric current is proportional to the intensity of incident light. Since there is no change in the intensity of light, hence $ I_{1}=I_{2} $ .