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Q. The work function of a metal is $1.6 \times 10^{-19} J$. When the metal surface is illuminated by the light of wavelength $6400\,\mathring{A}$, then the maximum kinetic energy of emitted photo-electrons will be
(Planck's constant $\left .h=6.4 \times 10^{-34} Js \right)$

Dual Nature of Radiation and Matter

Solution:

$K_{\max }=\frac{h c}{\lambda}-W_{0}$
$=\frac{6.4 \times 10^{-34} \times 3 \times 10^{8}}{6400 \times 10^{-10}}-1.6 \times 10^{-19}$
$=1.4 \times 10^{-19} J$