A) \[10877\text{ }\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[\text{9888 }\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[1087.7\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[1000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: A
Solution :
The minimum frequency of light which can emit photoelectrons from a material is called the threshold frequency of that material and the wavelength corresponding to threshold frequency is called threshold wavelength above which photons will not be able to overcome the energy gap of silicon. \[E=hv=\frac{hc}{\lambda }\] \[\Rightarrow \] \[\lambda =\frac{hc}{E}\] \[\lambda =\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{1.14\times 1.6\times {{10}^{-19}}}\] \[\lambda =10877\overset{\text{o}}{\mathop{\text{A}}}\,\]
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