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Question
What is the de Broglie wavelength (in cm) of a 160 g cricket ball travelling at 140 Km hr−1?
Solution
m = 160 g = 160 × 10–3 kg
v = 140 Km hr–1 = `(140 xx 10^3)/(60 xx 60)` ms–1
v = 38.88 ms–1
λ = `"h"/"mv"`
λ = `(6.626 xx 10^-34 "Kgm"^2 "s"^-1)/(160 xx 10^-3 "Kg" xx 38.88 "ms"^-1)`
λ = 1.065 × 10–34 m
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