Question 18.4: Sample Exercise: Finding the Wavelength of a Baseball What i...
Sample Exercise: Finding the Wavelength of a Baseball
What is the de Broglie wavelength, in meters, of a 145 g baseball traveling at 80 mph?
m = 145 g = 0.145 kg
v = 80 mph = 35.7 m/s
h = 6.6 26 × 10^{-34} Js
λ = ?
p = mv λ=\frac{h}{p}
λ=\frac{h}{mv}
λ=\frac{6.626 × 10^{-34} Js}{(0.145 kg)(35.7 m/s)}
λ=\frac{6.626 × 10^{-34} Nms}{5.17 kgm/s}
λ=\frac{6.626 × 10^{-34} Nms}{5.17 Ns}
λ=1.28 × 10^{-34} m
Notice how small this wavelength is!. It makes it impossible to detect wave-like properties of everyday objects, even with sophisticated technology.
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