Question

Among the elementary subatomic particles of physics is the muon, which decays within a few nanoseconds after formation. The muon has a rest mass 206.8 times that of an electron.
Calculate the de Broglie wavelength associated with a muon traveling at a velocity of 8.50×105 cm/s .

Answer 1

The De Broglie wavelength of the muon is calculated to be 4.13 × 10^10 m

We have the following information;

mass of the muon  (m)= 206.8 × 9.11 × 10^-31 Kg = 1.88 × 10^-28 Kg

Plank's constant(h)  = 6.6 × 10^-34 Js

Velocity of the muon(v) =  8.50×10^5 cm/s or 8500 m/s

From;

λ = h/mv

λ = 6.6 × 10^-34/1.88 × 10^-28 ×  8500

λ = 6.6 × 10^-34/1.598 × 10^-24

λ = 4.13 × 10^10 m

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