According to de-Brogile, matter should exhibit dual behaviour, that is both particle and wave like properties. However, a cricket ball of mass 100 g does not move like a wave when it is thrown by a b owler at a speed of 100km/h. calculate the wavelength of the ball and explain why it does not show wave nature.

Explanation

According to de Broglie equation ,`lambda=(h)/(m v)`
Mass of cricket ball (m)=100g=0.1 kg
Velocity of cricket ball (v)=100km/h`=((100xx1000m))/((60xx60(s)))=(1000)/(36) ms^(-1)`
Planck's constant (h) =`6.626xx10^(-34) "kg"m^(2)s^(-1)`
`lambda=((6.626xx10^(-34)"kg"m^(2)s^(-1))xx36)/((0.1"kg")xx(1000 ms^(-1)))=2.385 xx10^(-34)m^(-1)`
Since the wavelength of cricket ball is negligible, it does not show any wave nature in the light of Heisenberg's uncertainty principle.