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Question
The de-Broglie wavelength (λ) associated with a moving electron having kinetic energy (E) is given by ______.
Options
`(2h)/(sqrt(2mE))`
`(2(sqrt(2mE)))/(h)`
`h/(sqrt(2mE))`
`sqrt(2mhE)`
Solution
The de-Broglie wavelength (λ) associated with a moving electron having kinetic energy (E) is given by `bb underline (h/(sqrt(2mE)))`.
Explanation:
Kinetic energy, `E = 1/2 mv^2`
or `mv = sqrt(2mE)`
de-Broglie wavelength `λ = h/(mv) = h/(sqrt(2mE))`
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