Question

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 $1.0\times {10}^{9}kg$ drifting with a speed of 2.2 m/s?

Answer 1

(a) $\lambda =\frac{h}{mv}=\frac{6.62\times {10}^{-34}}{0.04\times 1000}=1.655\times {10}^{-35}m$

(b) $\lambda =\frac{h}{mv}=\frac{6.62\times {10}^{-34}}{0.06\times 1}=1.1\times {10}^{-32}m$

(c) $\lambda =\frac{h}{mv}=\frac{6.62\times {10}^{-34}}{1\times {10}^{-9}\times 2.2}=3\times {10}^{-23}m$