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Q.

The magnetic field in a plane electromagnetic wave is given by, $B_{y} = 2 \times 10^{- 7} \sin (π \times 10^{3} x + 3 π \times 10^{11} t) T$ . Calculate the wavelength.

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a

$π \times 10^{- 3} m$

b

$2 \times 10^{3} m$

c

$π \times 10^{3} m$

d

$2 \times 10^{- 3} m$

answer is C.

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Detailed Solution

$B_{y} = 2 \times 10^{- 7} \sin (π \times 10^{3} x + 3 π \times 10^{11} t) T$

General equation of magnetic field vector

$\begin{array}{l} B = B_{0} \sin (kx + ωt) T \\ k = π \times 10^{3} \\ \frac{2 π}{λ} = π \times 10^{3} \\ λ = 2 \times 10^{- 3} m \end{array}$

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The magnetic field in a plane electromagnetic wave is given by, By = 2 × 10-7 sin(π × 103x + 3π × 1011t)T. Calculate the wavelength.