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  • The wavelength of light from the spectral emission line of sodium is 589 nm. Find the kinetic energy at which (b) a neutron would have the same de Broglie wavelength.

Q: 11.14 (b)  The wavelength of light from the spectral emission line of sodium is 589\hspace{1mm}nm. Find the kinetic energy at which a neutron would have the same de Broglie wavelength. 

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The momentum of the neutron would be the same as that of the electron.

Kinetic energy of neutron would be

\\K=\frac{p^{2}}{2m_{n}}\\ K=\frac{(1.12\times 10^{-27})^{2}}{2\times 1.675\times 10^{-27}}\\ K=3.74\times 10^{-28}\ J

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