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  • A light beam travelling in the x-direction is described by the electric field: <img alt="\mathrm{E_y=270 \sin \omega(t-x / c)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BE_y%

A light beam travelling in the x-direction is described by the electric field: \mathrm{E_y=270 \sin \omega(t-x / c)}. An electron is constrained to move along the y-direction with speed of \mathrm{2 \times 10^7 \mathrm{~m} / \mathrm{s}}. Maximum magnetic force on the electron is:

Option: 1

2.88 \times 10^{-18} \mathrm{~N}


Option: 2

1.88 \times 10^{-18} \mathrm{~N}


Option: 3

1.44 \times 10^{-18} \mathrm{~N}


Option: 4

0.72 \times 10^{-18} \mathrm{~N}


Answers (1)

best_answer

\begin{aligned} & \mathrm{E=E_0 \sin \omega(t-x / c) }\\ & \mathrm{E_0=270} \mathrm{~V} / \mathrm{m} \\ &\mathrm{ B_0}=\frac{\text{E}_0}{\mathrm{c}}=9 \times 10^{-7} \mathrm{~T} \\ & \text{F}_{\text {mag }}=\mathrm{q v B_0}=2.88 \times 10^{-18} \mathrm{~N} \end{aligned}

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