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Q. Relativistic corrections become necessary when the expression for the kinetic energy $\frac{1}{2}mv^{2}$, becomes comparable with $mc^{2}$ where $m$ is the mass of the particle. At what de Broglie wavelength will relativistic corrections become important for an electron ?

Dual Nature of Radiation and Matter

Solution:

Correct answer is (d) $\lambda=10^{-4}\,nm$