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  • Which metal will be suitable for a photoelectric cell using light of wavelength . The work functions of sodi

Which metal will be suitable for a photoelectric cell using light of wavelength 4000 \AA. The work functions of sodium and copper are respectively 2.0 \mathrm{e\nu} and 4.0 \mathrm{e\nu}.


 

Option: 1

Sodium
 


Option: 2

Copper
 


Option: 3

Both(a) and (b)
 


Option: 4

 None of these


Answers (1)

best_answer

\begin{aligned} & \because \lambda_0=\frac{\mathrm{hc}}{\phi} \\ & \therefore \quad\left(\lambda_0\right)_{\text {sodium }}=\frac{6.6 \times 10^{-34} \times 3 \times 10^8}{2 \times 1.6 \times 10^{-19}}=6188 \AA\\ & \therefore \quad \lambda_0 \propto \frac{1}{\phi} \Rightarrow \frac{\left(\lambda_0\right)_{\text {sodium }}}{\left(\lambda_0\right)_{\text {copper }}}=\frac{(\phi)_{\text {copper }}}{(\phi)_{\text {sodium }}} \\ & \Rightarrow\left(\lambda_0\right)_{\text {copper }}=\frac{2}{4} \times 6188=3094 \AA \end{aligned}

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Deependra Verma

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