8.Electromagnetic waves
medium

A plane electromagnetic wave of frequency $500\, MHz$ is travelling in vacuum along $y-$direction. At a particular point in space and

time, $\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } \;T$. The value of electric field at this point is

(speed of light $\left.=3 \times 10^{8}\, ms ^{-1}\right)$

$\hat{ x }, \hat{ y }, \hat{ z }$ are unit vectors along $x , y$ and $z$ direction.

A

$-24 \hat{ x }\, V / m$

B

$2.6 \hat{ x }\, V / m$

C

$24 \hat{ x }\, V / m$

D

$-2.6 \hat{ y }\, V / m$

(JEE MAIN-2021)

Solution

$f =5 \times 10^{8} Hz$

EM wave is travelling towards $+\hat{j}$

$\overrightarrow{ B }=8.0 \times 10^{-8} \hat{ z } T$

$\overrightarrow{ E }=\overrightarrow{ B } \times \overrightarrow{ C }=\left(8 \times 10^{-8} \hat{ z }\right) \times\left(3 \times 10^{8} \hat{ y }\right)$

$=-24 \hat{ x } V / m$

Standard 12
Physics

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