Question

According to de-Broglie, the 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 100km/h. The wavelength of the ball is:

• A. $238.5\times {10}^{-36}m$
• B. $238.5\times {10}^{-28}m$
• C. $250.5\times {10}^{-36}m$
• D. $250.5\times {10}^{-28}m$

Answer 1

Answer: (A)

$238.5\times {10}^{-36}m$

De Broglie's wavelength is given by the formula :

$\lambda =\frac{h}{mv}$

$m=100g=0.1kg$

$v=100km/h=27.78m{s}^{-1}$

$\lambda =\frac{6.62\times {10}^{-34}}{0.1\times 27.78}=2.385\times {10}^{-34}m=238.5\times {10}^{-36}m$