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What is the de Broglie wavelength associated with
a ball of mass, \(m_b=150\;\text{kg}\) travelling at \(v_b=30\;\text{m/s}\) ?

Answer

\(m_b=150\;g\)
\(v_b=30\;\text{m/s}\)
\(p_b=m_bv_b=150\times 10^{-3}\times 30=4.50\frac{\mathit{kgm}} s\)
According to the de Broglie equation,
\(\lambda =\frac h{p_b}\)
Planck’s constant, \(h=6.62\times 10^{-34}Js\)  
Substituting both the values for calculating de Broglie’s wavelength,
\(\lambda =\frac{\left(6.62\times 10^{-34}\right)}{4.50}\)
\(\lambda =1.47\times 10^{-34}\;\text{m}\)
It can observed from the above result that the de Broglie’s wavelength of the ball is quite beyond the experimental measurement.
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