According to de-Broglie, matter should exhibit dual behaviour, that is

1.	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/s. Calculate the wavelength of the ball and explain why it does not show wave nature.
Answer» \(\lambda\) = \(\frac{h}{mc}\), m = 100 g = \(\frac{100}{1000}\) = 0.1 kg c = 100\(\frac{km}{h}\) = \(\frac{100\times1000\,m}{60\times60\,s}\) = \(\frac{1000}{36}\) ms^-1 h = 6.626 x 10^-34 Js \(\lambda\) = \(\frac{6.626\times10^{-34}Js}{0.1kg\times\frac{1000}{36}ms^{-1}}\) = 6.626 × 10⁻³⁶ × 36 m = 2.385 × 10⁻³⁴ m Since mass of the ball is large, therefore, \(\lambda\) is very small thus, the wave nature cannot be observed.

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/s. Calculate the wavelength of the ball and explain why it does not show wave nature.

Answer»

\(\lambda\) = \(\frac{h}{mc}\), m = 100 g = \(\frac{100}{1000}\) = 0.1 kg

c = 100\(\frac{km}{h}\) = \(\frac{100\times1000\,m}{60\times60\,s}\) = \(\frac{1000}{36}\) ms^-1

h = 6.626 x 10^-34 Js

\(\lambda\) = \(\frac{6.626\times10^{-34}Js}{0.1kg\times\frac{1000}{36}ms^{-1}}\)

= 6.626 × 10⁻³⁶ × 36 m

= 2.385 × 10⁻³⁴ m

Since mass of the ball is large, therefore, \(\lambda\) is very small thus, the wave nature cannot be observed.