Practice portal › Dual Nature of Matter and Radiation › de Broglie Wavelength and Accelerating Potential

The wavelength of an electron having energy 10 keV is ______ A.

Asked in RS Academy GUJCET booklet · Accelerated through a potential difference

Answer: (1) 0.12

Step-by-step solution

Given: kinetic energy K = 10 keV, as if the electron were accelerated through V = 10⁴ V.

Idea: for an electron, λ = h/(√2meV) = (12.27)/(√V) A.

λ = (12.27)/(√10⁴) A = (12.27)/(100) A

λ ≈ 0.123 A

So the wavelength is about 0.12 A.

Why the other options are wrong

More de Broglie Wavelength and Accelerating Potential questionsAll de Broglie Wavelength and Accelerating Potential questions →

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.

Practise this with a timer