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Q. Work function of lithium and copper are respectively $2.3eV$ and $4.0eV.$ Which one of the metal will be useful for the photoelectric cell working with visible light ? $\left(h = 6 . 6 \times \left(10\right)^{- 34} J - s , c = 3 \times \left(10\right)^{8} m / s\right)$

NTA AbhyasNTA Abhyas 2020

Solution:

From $\lambda _{0}=\frac{12375}{W_{0}}$
The maximum wavelength of light required for the photoelectron emission, $\left(\left(\lambda \right)_{0}\right)_{Li}=\frac{12375}{2 . 3}=5380\overset{o}{A}$
Similarly $\left(\left(\lambda \right)_{0}\right)_{Cu}=\frac{12375}{4}=3094\overset{o}{A}$
since the wavelength $3094\overset{o}{A}$ does not in the visible region, but it is in the ultraviolet region. Hence to work with visible light, lithium metal will be used for photoelectric cell.