Question
The de-Broglie wavelength $\lambda $ associated with an electron having kinetic energy $E$ is given by the expression

Answer

(a) $\frac{1}{2}m{v^2} = E $

$\Rightarrow mv = \sqrt {2mE} ;\;\;\therefore \;\;\lambda = \frac{h}{{mv}} = \frac{h}{{\sqrt {2mE} }}$

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