Ncert Exercises & Solutions

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 speed of 100 km/h. Calculate the wavelength of the ball and explain why it does not show wave nature.

Given,

m = 100 g = 0.1 kg

v = 100 km / h = \frac{100 \times 1000}{60 \times 60} = \frac{1000}{36} {ms}^{- 1}

From de-Broglie equation, wavelength,

λ = \frac{h}{mv}

λ = \frac{6.626 \times 10^{- 34} kg m^{2} s^{- 1}}{0.1 kg \times \frac{1000}{36} {ms}^{- 1}} = 238.5 \times 10^{- 36} m

As the wavelength is very small so wave nature cannot be detected.

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