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

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Question : 16
Total: 37
An electron and a photon each have a wavelength of 1.00 nm. Find
(a) their momenta,
(b) the energy of the photon, and
(c) the kinetic energy of electron.
Solution:  
(a) Momentum for both electron and photon will be same for same wavelength.
p =
h
λ
 =
6.63×10−34
10−9
 = 6.63 × 10−25 kg m s−1
(b) Energy of photon E = hv =
hc
λ
E =
6.63×10−34×3×108
10−9×1.6×10−19
 = 1.24 KeV
(c) Kinetic energy of electron
K =
p2
2m
 =
(6.63×10−25)2
2×9.1×10−31
 = 2.42 × 10−19 J
=
2.42×10−19
1.6×10−19
 eV = 1.51 eV
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