Physics

Problem

A photoelectric material having work-function

\phi_0

is illuminated with light of wavelength

\lambda

(

\lambda < \frac{hc}{\phi_0}

). 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

\lambda_d

. Then the ratio

\Delta\lambda_d/\Delta\lambda

is proportional to [Adv. 2017] (a)

\lambda_d/\lambda

(b)

\lambda_d^2/\lambda^2

(c)

\lambda_d^3/\lambda

(d)

\lambda_d^3/\lambda^2