If the magnetic field of an electromagnetic wave is given as $B_{y}=2 imes 10^{-7} \sin \left(10^{

Question

If the magnetic field of an electromagnetic wave is given as $B_{y}=2 	imes 10^{-7} \sin \left(10^{3} x+1.5 	imes 10^{12} tight)$ tesla, the wavelength of the electromagnetic waves is\

Professor PC Thomas Classes · Answer

Given, $\mathrm{B}_{\mathrm{y}}=2 	imes 10^{-2} \sin \left(10^{3} \mathrm{x}+1.5 	imes 10^{12} \mathrm{t}ight)$ Comparing with the, $\mathrm{B}_{\mathrm{y}}=\mathrm{B}_{0} \sin \left(\frac{2 \pi \mathrm{x}}{\lambda}+\frac{2 \pi \mathrm{t}}{\mathrm{T}}ight)$ We get, $\frac{2 \pi}{\lambda}=10^{3}$\ $\lambda=\frac{2 \pi}{10^{3}}=6.28 \mathrm{~mm}$\