Question

An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of $60 \mathrm{Vm}^{-1}$. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum:

Accepted Answer

(B) $\mathrm{E}_{\mathrm{y}}=60 \sin \left[\frac{\pi}{4} 	imes 10^{3}\left(\mathrm{x}-3 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{j}} \mathrm{Vm}^{-1}$
$\mathrm{B}_{\mathrm{z}}=2 	imes 10^{-7} \sin \left[\frac{\pi}{4} 	imes 10^{3}\left(\mathrm{x}-3 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{k}} \mathrm{T}$

Answer

(A) $\mathrm{E}_{\mathrm{y}}=60 \sin \left[\frac{\pi}{4} 	imes 10^{3}\left(\mathrm{x}-3 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{j}} \mathrm{Vm}^{-1}$
$\mathrm{B}_{\mathrm{z}}=2 \sin \left[\frac{\pi}{4} 	imes 10^{3}\left(\mathrm{x}-3 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{k}} \mathrm{T}$

Answer

(C) $\mathrm{E}_{\mathrm{y}}=2 	imes 10^{-7} \sin \left[\frac{\pi}{4} 	imes 10^{3}\left(\mathrm{x}-3 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{j}} \mathrm{Vm}^{-1}$
$\mathrm{B}_{\mathrm{z}}=60 \sin \left[\frac{\pi}{4} 	imes 10^{3}\left(\mathrm{x}-3 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{k}} \mathrm{T}$

Answer

(D) $\mathrm{E}_{\mathrm{y}}=2 	imes 10^{-7} \sin \left[\frac{\pi}{4} 	imes 10^{4}\left(\mathrm{x}-4 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{j}} \mathrm{Vm}^{-1}$
$\mathrm{B}_{\mathrm{z}}=60 \sin \left[\frac{\pi}{4} 	imes 10^{4}\left(\mathrm{x}-4 	imes 10^{8} \mathrm{t}ight)ight] \hat{\mathrm{k}} \mathrm{T}$

JEE Main · 2022 · 28 Jun 2022 · Shift 2 · EM Waves

Solution

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