## Related questions with answers

Red light of wavelength 670 nm produces photoelectrons from a certain photoemissive material. Green light of wavelength 520 nm produces photoelectrons from the same material with 1.50 times the maximum kinetic energy. What is the material’s work function?

Solution

VerifiedTo solve for the material work function $\phi$, first we show that maximum kinetic energy $K.E_{\textrm{max}}$, for the both red and green wavelengths $\left(\lambda_{r}=670\textrm{nm}\right)$, $\left(\lambda_{g}=520\textrm{nm}\right)$ can be calculated as:

$\begin{equation} K.E_{\textrm{max}}=E_{p}-{\phi}=\left[\frac{h\textrm{c}}{\lambda_{r}}\right]-{\phi} \end{equation}$

and

$\begin{equation} K.E_{\textrm{max}}=1.50E_{p}-{\phi}=1.50\left[\frac{h\textrm{c}}{\lambda_{g}}\right]-{\phi} \end{equation}$

Rearranging terms for the equation (2), we get:

$\begin{align*} 0=-1.50\frac{h{\textrm{c}}}{\lambda_{r,g}}-{\phi} \end{align*}$

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