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  4. The frequency and work function of an incident photon are v and φ0 . If v0 is the threshold frequency, then necessary condition for the emission of photoelectron is

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Q. The frequency and work function of an incident photon are $v$ and $\phi_{0} .$ If $v_{0}$ is the threshold frequency, then necessary condition for the emission of photoelectron is

UPSEEUPSEE 2010Dual Nature of Radiation and Matter

Solution:

The photoelectric equation is given by
$\frac{1}{2} m v^{2}=h v-h v_{0}$
So, for maximum kinetic energy, frequency should be more than the cut-off frequency and wavelength should be less than the cut-off wavelength.