Relativistic corrections become necessary

Question:

Relativistic corrections become necessary when the expression for the kinetic energy 1/2 mv2 , becomes comparable with mc2, where m is the mass of the particle. At what de Broglie wavelength will relativistic corrections become important for an electron?

(a) λ =10nm

(b) λ =10–1nm

(c) λ =10–4nm

(d) λ =10–6nm

Solution:

The correct answers are

(c) λ =10–4nm

(d) λ =10–6nm

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