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A photoelectric material having work-function \( \phi_{0} \) is illuminated with light of wavelength \( \lambda\left(\lambda<\frac{h c}{\phi_{0}}\right) \).
 
The fastest photoelectron has a de-Broglie wavelength \( \lambda_{d^{\circ}} \) A change in wavelength of the incident light by \( \Delta \lambda \) results in a change \( \Delta \lambda_{d} \) in \( \lambda_{d^{\prime}} \) Then the ratio \( \frac{\Delta \lambda_{d}}{\Delta \lambda} \) is proportional to
(1) \( \frac{\lambda_{d}^{3}}{\lambda^{2}} \)
(2) \( \frac{\lambda_{d}^{3}}{\lambda} \)
(3) \( \frac{\lambda_{d}^{2}}{\lambda^{2}} \)
(4) \( \frac{\lambda_{d}}{\lambda} \)
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