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)`

Answer 1

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))`