A plane electromagnetic wave of frequency 100, MHz is travelling in vacuum along x - direction. At a

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8.Electromagnetic waves

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A plane electromagnetic wave of frequency $100\, MHz$ is travelling in vacuum along the $x -$ direction. At a particular point in space and time, $\overrightarrow{ B }=2.0 \times 10^{-8} \hat{ k } T$. (where, $\hat{ k }$ is unit vector along $z-$direction) What is $\overrightarrow{ E }$ at this point ?

A

$0.6 \hat{j}\, V / m$

B

$6.0 \hat{ k }\, V / m$

C

$6.0 \hat{ j }\, V / m$

D

$0.6 \hat{ k }\, V / m$

(JEE MAIN-2021)

Solution

$E = BC =6$

(Dir. of wave) $\|(\overrightarrow{ E } \times \overrightarrow{ B })$

$\hat{ i }=\hat{ j } \times \hat{ k }$

$\overrightarrow{ E }=6 \hat{ j } V / m$

Standard 12

Physics

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