Question

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.

Answer 1

$\lambda =\frac{h}{mu}$
$=\frac{6.6\times {10}^{-34}}{0.1kgx}$
$100km\to 3600sec$
$100\times {10}^{3}m\to 3600sec$
$\frac{100\times {10}^3}{3600}\leftarrow 1sec$
$\frac{{10}^3}{36}\to 1sec$
$\frac{1000}{36}-1sec$
$\lambda =\frac{6.6\times {10}^{-34}}{1.0\times 500}\times 18$
$\lambda =\frac{18}{50}\times 6.6\times {10}^{-34}$
see the order of wavelength it is handly visible.