A photoelectric material having work-function $\phi_0$ is illuminated with light of wavelength $\lam

Question

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 $\lambda_d$. A change in wavelength of the incident light by $\Delta \lambda$ results in a change $\Delta \lambda_d$ in $\lambda_{d^2}$. Then the ratio $\Delta \lambda_{d^2} / \Delta \lambda$ is proportional to

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(b)