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

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Question : 15
Total: 37
What is the de Broglie wavelength of
(a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km s–1
(b) a ball of mass 0.060 kg moving at a speed of 1.0 m s–1, and
(c) a dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2 m s–1?
Solution:  
de Broglie wavelength λ =
h
mv
(a) Wavelength associated with bullet
λbullet =
6.63×10−34
0.04×103
 = 1.7 × 10−35 m
(b) Wavelength associated with ball
λball =
6.63×10−34
0.06×1
 = 1.1 × 1032 m
(c) Wavelength associated with dust particle
λparticle =
6.63×10−34
10−9×2.2
 = 3 × 10−25 m
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