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NCERT Class XII Chapter
Dual Nature of Radiation and Matter
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Question : 15 of 37
Marks: +1, -0
What is the de Broglie wavelength of
(a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km s−1s^{-1}
(b) a ball of mass 0.060 kg moving at a speed of 1.0 m s−1s^{-1}, and
(c) a dust particle of mass 1.0 × 10−910^{-9} kg drifting with a speed of 2.2 m s−1s^{-1}?
Solution:  
de Broglie wavelength λ = hmv\frac{h}{mv}
(a) Wavelength associated with bullet
λbullet\lambda_{\text{bullet}} = 6.63×10−340.04×103\frac{6.63 \times 10^{-34}}{0.04 \times 10^3} = 1.7 × 10−3510^{-35} m
(b) Wavelength associated with ball
λball\lambda_{\text{ball}} = 6.63×10−340.06×1\frac{6.63 \times 10^{-34}}{0.06 \times 1} = 1.1 × 103210^{32} m
(c) Wavelength associated with dust particle
λparticle\lambda_{\text{particle}} = 6.63×10−3410−9×2.2\frac{6.63 \times 10^{-34}}{10^{-9} \times 2.2} = 3 × 10−2510^{-25} m
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