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.

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Vishal Baghel | Contributor-Level 10

4 months ago

This is a Short Answer Type Questions as classified in NCERT Exemplar

Ans: As per de Broglie, every object in motion has a wave character i.e. every object/matter have dual nature both particle and wave nature. But the wavelengths associated with ordinary objects are so short (because of their large masses) that their wave properties cannot be detected.

Given, m (mass) = 100g, v=100km/hr

We have

λ = h/mv= 238.5 × 10-³⁴ m

As the wavelength associated with the cricket ball is so small that it can’t be detected.

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