According to de Broglie, matter should exhibit dual behaviour, th… - Vidyadip

Question

According to de Broglie, matter should exhibit dual behaviour, that is both particle and wave like properties. However, a cricket ball of mass 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.

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Answer

$\lambda=\frac{\text{h}}{\text{mv}}$
$\text{m}=100\text{g}=0.1\text{kg.}$
$\text{v}=100\text{km/hr}=\frac{100\times1000\text{m}}{60\times60\text{s}}=\frac{1000}{36}\text{ms}^{-1}$
$\text{h}=6.626\times10^{-34}\text{Js}$
$\lambda=\frac{6.626\times10^{-34}\text{Js}}{0.1\text{kg}\times\frac{1000}{36}\text{ms}^{-1}}=6.626\times10^{-36}\times36\text{m}^{-1}$
$=238.5\times10^{-36}\text{m}^{-1}$

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