A plane electromagnetic wave travels through a medium and the magne...

Question

A plane electromagnetic wave travels through a medium and the magnetic field associated with it is given by $B = 5	imes10^{-8}\sin(3	imes10^{10}t - 150x)$ T, where $x$ is in metres and $t$ is in seconds. The velocity of the wave is:

Accepted Answer

For a wave of the form $B = B_0\sin(\omega t - kx)$: Angular frequency: $$\omega = 3	imes10^{10}\ 	ext{rad/s}$$ Wave number: $$k = 150\ 	ext{rad/m}$$ Velocity of the wave: $$v = \frac{\omega}{k} = \frac{3	imes10^{10}}{150} = 2.0	imes10^{8}\ 	ext{m/s}$$ Hence the correct option is (A).

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