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Q. Photon of frequency $v$ has a momentum associated with it. If $c$ is the velocity of light, the momentum is

Dual Nature of Radiation and Matter

Solution:

Energy of a photon, $E=h v \,\,\,\,\,\dots(i)$
Also, $E=p c \,\,\,\,\,\,\,\dots (ii)$
Where $p$ is the momentum of a photon.
From (i) and (ii), we get
$hv=p c $ or $p=\frac{h v}{c}$