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  4. The work function of sodium is 2.3 eV. The threshold wavelength of sodium will be

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Q. The work function of sodium is 2.3 eV. The threshold wavelength of sodium will be

JamiaJamia 2012

Solution:

Here, work function $ {{W}_{0}}=2.3\text{ }eV=2.3\times 1.6\times {{10}^{-19}}J $ where, $ {{\lambda }_{0}} $ is 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}}}\, $