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  4. de-Broglie wavelength associated with a ball of mass 1 kg having kinetic energy 0.5 J is

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Q. de-Broglie wavelength associated with a ball of mass 1 kg having kinetic energy 0.5 J is

AIIMSAIIMS 2015Dual Nature of Radiation and Matter

Solution:

de-Broglie wavelength, $\lambda=\frac{h}{p}=\frac{h}{\sqrt{2mK}}$
Here, m = 1 kg, K = 0.5 J
$h = 6.63 × 10^{-34} J s, \lambda = ?$
$\lambda=\frac{6.63\times10^{-34}}{\sqrt{2\times1\times0.5}}=6.63\times10^{-34} m$