A) \[2900\overset{o}{\mathop{\text{A}}}\,\]
B) \[2500\overset{o}{\mathop{\text{A}}}\,\]
C) \[5380\overset{o}{\mathop{\text{A}}}\,\]
D) \[1200\overset{o}{\mathop{\text{A}}}\,\]
Correct Answer: C
Solution :
Here, work function \[{{W}_{0}}=2.3eV=2.3\times 1.6\times {{10}^{-19}}J\] where,\[{{\lambda }_{0}}\]the threshold wavelength for sodium Then, \[{{W}_{0}}=\frac{hc}{{{\lambda }_{0}}}\]or \[{{\lambda }_{0}}=\frac{hc}{{{W}_{0}}}\] \[{{\lambda }_{0}}=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{2.3\times 1.6\times {{10}^{-19}}}\] \[=5380\times {{10}^{-10}}m=5380\overset{o}{\mathop{\text{A}}}\,\]
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