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

According to de Broglie, the expression that relates the wavelength and particle speed is

                                                 λ = h/mc

Given data:

                               m = 100g = 100/1000 = 0.1kg

                           c = 100 km/h = $(100\times 1000m)/ (60\times 60s)$

                                c = 1000/36 m/s

                        h (Plancks constant) = $6.626\times10^{-34}Js$

Substitute all the values.

                                λ = $\frac{6.626\times 10^{-34}}{0.1kg\times 1000/36}$

                                 λ = $6.626\times 10^{-36}\times36m$

                                       λ = $2.38\times 10^{-34}m$

The value of λ is too small, since the ball is large. So the wave nature cannot be observed in cricket ball.

Answer 2

Hey mate....✌✌☺✌✌
here is your answer....☺✌☺

$\huge\red{WAVELENGTH = 2.38×^-38}$

The WAVELENGTH is too small and the BALL is large so, I T DOES NOT SHOW WAVE NATURE..

I HOPE IT IS HELPFUL ....☺✌☺