According to de Broglie,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 bowler at a speed of $100 \ km/h$. Calculate the wavelength of the ball and explain why it does not show wave nature.

Given: Mass $m = 100 \ g = 0.1 \ kg$.
Velocity $v = 100 \ km/h = \frac{100 \times 1000 \ m}{3600 \ s} = 27.78 \ m/s$.
Planck's constant $h = 6.626 \times 10^{-34} \ J \cdot s$.
According to the de Broglie equation,$\lambda = \frac{h}{mv}$.
Substituting the values: $\lambda = \frac{6.626 \times 10^{-34} \ J \cdot s}{0.1 \ kg \times 27.78 \ m/s} = 2.385 \times 10^{-34} \ m$.
The calculated wavelength is extremely small $(2.385 \times 10^{-34} \ m)$,which is far beyond the range of any detectable measurement. Therefore,the wave nature of macroscopic objects like a cricket ball is not observable.