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 × 10−9 kg drifting with a speed of 2.2 m/s?

Answer 1

Hey Dear,

◆ Answer -

(a) For bullet, λ = 1.66×10^-35 m

(b) For ball, λ = 1.1×10^-32 m

(c) For dust particle, λ = 3×10^-25 m

● Explanation -

de Broglie wavelength for a particle is calculated by formula -

λ = h / mc

(a) For bullet,

λ = 6.63×10^-34 / (0.04 × 1000)

λ = 1.66×10^-35 m

(b) For ball,

λ = 6.63×10^-34 / (0.06 × 1)

λ = 1.1×10^-32 m

(c) For dust particle,

λ = 6.63×10^-34 / (10^-9 × 2.2)

λ = 3×10^-25 m

Hope this helps.