question_answer 119)

  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 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:

  de Broglie wavelength can be calculated as, \[\lambda =\frac{h}{m\upsilon }\]                                   ?(i) Given : \[m=100\text{ }g=0.1\text{ }kg\] \[\upsilon =100km/hr=\frac{100\times 1000}{60\times 60\sec }=\frac{1000}{36}m{{s}^{-1}}\] \[h=6.626\times {{10}^{-34}}Js\] \[\lambda =\frac{6.626\times {{10}^{-34}}}{0.1\times \frac{1000}{36}}=238.5\times {{10}^{-36}}m\] Wavelength is so small that wave nature cannot be observed.