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JEE MAIN 2022
26-07-2022 S1
Question
The magnetic field of a plane electromagnetic wave is given by $\overrightarrow{\mathrm{B}}-=2 \times 10^{-8} \sin \left(0.5 \times 10^3 \mathrm{x}+1.5 \times 10^{11} \mathrm{t}\right) \hat{\mathrm{j}} T$ The amplitude of the electric field would be
Select the correct option:
A
$6 \mathrm{Vm}^{-1}$ along x -axis
B
$3 \mathrm{Vm}^{-1}$ along $x$-axis
C
$6 \mathrm{Vm}^{-1}$ along z-axis
D
$2 \times 10^{-8} \mathrm{Vm}^{-1}$ along z -axis
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$$ \begin{aligned} & \mathrm{c}=\frac{\mathrm{E}_0}{\mathrm{~B}_0} \Rightarrow \mathrm{E}_0=\mathrm{cB}_0 \\ & \mathrm{E}_0=\left(3 \times 10^8\right)\left(2 \times 10^{-8}\right) \\ & \mathrm{E}_0=6 \mathrm{Vm}^{-1} \end{aligned} $$ As, $\vec{B}=$ along $y$-axis $\vec{v}=$ along negative $x$-axis Hence $\vec{E}_0=$ along z-axis
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