IGNOU BPHET 141 2026 - An electric field of is applied along the direction of moti

Question

An electric field of $10^6\text{ Vm}^{-1}$ is applied along the direction of motion of an electron moving with a speed of 0.6c. Calculate the acceleration of the electron.

19 Jan 2026

Answer :

Word Count : 178

The relativistic acceleration of an electron is given by the formula: [ a = \frac{F}{\gamma^3 m} ] where (F = eE), (m) is the rest mass of the electron, (e = 1.6 \times 10^{-19},\text{C}), (m = 9.11 \times 10^{-31},\text{kg}), (E = 10^6,\text{V/m}), (v = 0.6c), and (\gamma = \frac{1}{\sqrt{1 - v^2/c^2}}). First, calculate (\gamma): [

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