Practice portal › Dual Nature of Matter and Radiation › de Broglie Wavelength and Accelerating Potential
Asked in GUJCET 2017 · Accelerated through a potential difference
Idea: accelerating through V gives the electron kinetic energy K = eV.
Momentum from kinetic energy: K = (p²)/(2m), so p = √2mK = √2meV.
De Broglie wavelength: λ = h/p = h/(√2meV)
Check: for V = 100 V this gives about 1.23×10⁻¹⁰ m, the familiar value.
So λ = h/(√2Vem), the same product 2meV written in a different order.
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