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.

Answers (1)

According to be Broglie,

 The wavelength = λ = h / mv

 m = 100 g = 0.1 kg.

 v = 100 km/hr = (100\times1000)/(60\times60) = 1000/36 m/s

 h =6.626×10–34 Js

Therefore, in the present case.

\lambda =\frac{6.626\times 10-34J.s}{0.1kg\times \frac{1000}{36}m/s}

=238.5\times 10^{-36}m^{-1}

Since the wavelength is negligible to be detected, thus, it does not show wave nature.

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