Electromagnetic frequency|CARBONCARBOXYLDERIVATIVJEEMain2023

JEE MAIN 2023

11-4-2023

Question

A plane electromagnetic wave of frequency 20 MHz propagates in free space along x-direction. At a particular space and time, V/m. What is B at this point ?

Select the correct option:

$-2.2 \times 10^{-8} \hat{\mathrm{i}} \mathrm{T}$

$2.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{T}$

$-2.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{T}$

$2.2 \times 10^{-8} \hat{\mathrm{i}} \mathrm{T}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Sol. $$ \begin{aligned} & \overrightarrow{\mathrm{E}}=6.6 \hat{\mathrm{j}} \\ & \mathrm{v}=20 \mathrm{MHz} \\ & \overrightarrow{\mathrm{c}}=3 \times 10^8 \hat{\mathrm{i}} \\ & |\overrightarrow{\mathrm{~B}}|=\frac{|\overrightarrow{\mathrm{E}}|}{\mathrm{c}}=2.2 \times 10^{-8} \mathrm{~T} \\ & \overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{c}} \\ & \overrightarrow{\mathrm{~B}}=2.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{~T} \end{aligned} $$

Question Tags

JEE Main

Chemistry

Medium

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