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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:
A
$-2.2 \times 10^{-8} \hat{\mathrm{i}} \mathrm{T}$
B
$2.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{T}$
C
$-2.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{T}$
D
$2.2 \times 10^{-8} \hat{\mathrm{i}} \mathrm{T}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. $$ \begin{aligned} & \overrightarrow{\mathrm{E}}=6.6 \hat{\mathrm{j}} \\ & \mathrm{v}=20 \mathrm{MHz} \\ & \overrightarrow{\mathrm{c}}=3 \times 10^8 \hat{\mathrm{i}} \\ & |\overrightarrow{\mathrm{~B}}|=\frac{|\overrightarrow{\mathrm{E}}|}{\mathrm{c}}=2.2 \times 10^{-8} \mathrm{~T} \\ & \overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{c}} \\ & \overrightarrow{\mathrm{~B}}=2.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{~T} \end{aligned} $$
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