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Physics Question on Dual nature of radiation and matter

What is the de Broglie wavelength of
(a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s,
(b) a ball of mass 0.060 kg moving at a speed of 1.0 m/s, and
(c)a dust particle of mass 1.0×10–9kg1.0×10^{–9}kg drifting with a speed of 2.2 m/s?

Answer

(a) Mass of the bullet, m=0.040kg
Speed of the bullet, v=1.0km/s=1000m/s
Planck’s constant, h=6.6×10−34Jsh=6.6×10^{−34}Js
De Broglie wavelength of the bullet is given by the relation:
λ=hmvλ=\frac{h}{mv}
=6.6×10−340.040×1000=1.65×10−35m=\frac{6.6×10^{-34}}{0.040×1000}=1.65×10^{-35}m

(b)Mass of the ball,m=0.060kg
Speed of the ball, v=1.0m/s
De Broglie wavelength of the ball is given by the relation:
λ=hmvλ=\frac{h}{mv}
=6.6×10−340.060×1=1.1×10−32m=\frac{6.6×10^{-34}}{0.060×1}=1.1×10^{-32}m

(c)Mass of the dust particle, m=1×10−9kgm=1×10^{−9}kg
Speed of the dust particle, v=2.2m/s
De Broglie wavelength of the dust particle is given by the relation:
λ=hmvλ=\frac{h}{mv}
=6.6×10−342.2×1×10−9=3.0×10−25m=\frac{6.6×10^{-34}}{2.2×1×10^{-9}}=3.0×10^{-25}m