A) \[4\times 1{{0}^{-19}}V.s\]
B) \[0.25\times 1{{0}^{-15}}V.s\]
C) \[4\times 1{{0}^{-15}}V.s\]
D) \[4\times 1{{0}^{-8}}V.s\]
Correct Answer: D
Solution :
Equation of photo electric effect \[\operatorname{W}={{W}_{o}}+e{{V}_{o}}\] \[\frac{hc}{0.6\mu m}={{W}_{o}}+e\times 0.5\] .....(1) \[\frac{hc}{0.4\mu m}={{W}_{o}}+0.5e\] .....(2) \[\left( 2 \right)-\left( 1 \right)\] \[hc\left[ \frac{1}{0.4\mu m}-\frac{1}{0.6\mu m} \right]=e\] \[hc=\frac{0.2\mu m}{0.24\mu m}=\operatorname{e}\] \[\frac{hc}{12}=\operatorname{e}\] \[\frac{h}{\operatorname{e}}=\frac{12}{c}=\frac{12}{3\times {{10}^{8}}}\] \[\frac{h}{\operatorname{e}}=4\times {{10}^{-8}}\operatorname{V}-\operatorname{s}\]
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