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8.Electromagnetic waves
medium
The magnetic field in a plane electromagnetic wave is given by, $B_{y}=2 \times 10^{-7} \sin \left(\pi \times 10^{3} x+3 \pi \times 10^{11} t\right) \;T$ Calculate the wavelength.
A
$\pi \times 10^{-3} \;m$
B
$\pi \times 10^{3} \;m$
C
$2 \times 10^{-3} \;m$
D
$2 \times 10^{3} \;m$
(NEET-2020)
Solution
$B_{y}=2 \times 10^{-7} \sin \left(\pi \times 10^{3} x+3 \pi \times 10^{11} t \right) T$
General equation of magnetic field vector
$B = B _{0} \sin ( k x+\omega t ) T$
$k=\pi \times 10^{3}$
$\frac{2 \pi}{\lambda}=\pi \times 10^{3}$
$\lambda=2 \times 10^{-3} m$
Standard 12
Physics