The electric fields of two plane | EMI | JEE MAIN 2020

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JEE MAIN 2020

09-01-20 S1

Question

The electric fields of two plane electromagnetic plane waves in vacuum are given by
$\begin{aligned} & \overrightarrow{\mathrm{E}}_1=\mathrm{E}_0 \mathrm{j} \cos (\omega \mathrm{t}-\mathrm{kx}) \text { and } \\ & \overrightarrow{\mathrm{E}}_2=\mathrm{E}_0 \hat{\mathrm{k}} \cos (\omega \mathrm{t}-\mathrm{kx})\end{aligned}$
At $\mathrm{t}=0$, a particle of chcarge q is at origin with a velocity $\vec{v}=0.8 \mathrm{c} \hat{j}$ ( c is the speed of light in vaccum). The instantaneous force experienced by the particle is:

Select the correct option:

A

$\mathrm{E}_0 q(0.4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+0.8 \hat{\mathrm{k}})$

B

$E_0 q(-0.8 \hat{i}+\hat{j}+\hat{k})$

C

$\mathrm{E}_0 q(0.8 \hat{\mathrm{i}}+\hat{\mathrm{j}}+0.2 \hat{\mathrm{k}})$

D

$\mathrm{E}_0 q(0.8 \hat{\mathrm{i}}-\hat{\mathrm{j}}+0.4 \hat{\mathrm{k}})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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