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Q. Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^3ms^{−1}$ (Mass of proton $= 1.67 \times 10^{−27}\, kg$ and $h = 6.63 \times 10^{−34}\, Js$ ) :

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Solution:

$\lambda=\frac{h}{mv}=\frac{6.63\times10^{-34}}{1.67\times10^{-27}\times10^{3}}=0.40\,nm$