NCERT Class XII Chapter
Dual Nature of Radiation and Matter
Questions With Solutions

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Question : 18
Total: 37
Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).
Solution:  
For a photon, de Broglie wavelength, λ =
h
p

For an electromagnetic radiation of frequency υ and wavelength λ′(= c/υ),
Momentum, p =
E
c
=
hv
c
or p =
h
c
.
c
λ
=
h
λ

Then , λ' =
h
p
= λ
Thus the wavelength λ′ of the electromagnetic radiation is the same as the de Broglie wavelength λ of the photon.
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