A metal surface is illuminated by light of two different...

A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u₁ and u₂, respectively. If the ratio

{u}_{1}: {u}_{2} = 2: 1

, the work function of the metal is nearly

Options

A3.7 eV
B3.2 eV
C2.8 eV
D2.5 eV

Correct answer

A. 3.7 eV

Step-by-step solution

\dfrac{\dfrac{hc}{{\lambda}_{1}} - ϕ}{\dfrac{hc}{{\lambda}_{2}} - ϕ} = \dfrac{{u}_{1}^{2}}{{u}_{2}^{2}}

ϕ = 3.7eV

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