8.Electromagnetic waves
easy

The magnetic field in a plane electromagnetic wave is given by, $B=3.01 \times 10^{-7} \sin \left(6.28 \times 10^2 \times+2.2 \times 10^{10} t\right) \,T$. [where $x$ in $cm$ and $t$ in second]. The wavelength of the given wave is ....... $cm$

A

$1$

B

$628$

C

$1.129$

D

$314$

Solution

(a)

$\bar{B}=3.01 \times 10^{-7} \sin \left(6.28 \times 10^2 x+2.2 \times 10^{10} t\right) \,T$

$k=6.28 \times 10^2$

$\omega=2.2 \times 10^{10}$

$k=\frac{2 \pi}{\lambda}$

$\therefore \lambda=\frac{2 \pi}{6.28 \times 10^2}=10^{-2} \,m$

Standard 12
Physics

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