According to de Broglie, matter should exhibit dual behaviour that is both particle and wave like properties. However, a cricket ball of 100g does not move like a wave when it is thrown by a bowler at a speed of 100km/h. Calculate the wavelength of the ball and explain why it does not show wave nature.
Given, mass (m) = 100g = 0.1 kg
Wavelength (λ) = 100 km/h = m/s = 27.78 m/s
According to the de Broglie equation, λ =
Where λ is wavelength,
h is Planck's constant, h = 6.626 10-34 Js
= 6.626 10-34 Kgm2s-1
m is the mass of a particle, moving at velocity v.
Substituting the values, λ = m
λ = 2.385 10-34 m
Since, the wavelength is very small due to large mass of ball therefore, wave nature was not observed and ball of 100g does not move like a wave when it is thrown by a bowler.