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 ?

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=1 nm (B) λ=10 nm (C) λ=10-1 nm (D) λ=10-4 nm

Tardigrade Admin · Accepted Answer

Correct answer is (d) λ=10-4 nm

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

$λ = 1 nm$

$λ = 10 nm$

$λ = 1 0^{- 1} nm$

$λ = 1 0^{- 4} nm$

Correct answer is (d) $λ = 1 0^{- 4} nm$

Q. Relativistic corrections become necessary when the expression for the kinetic energy 21​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 ?

λ=1nm

λ=10nm

λ=10−1nm

λ=10−4nm