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A plane electromagnetic wave of frequency 28MHz travels in free space along the positive X-direction. At a particular point in space and time electric field is 9.3V/m along positive Y-direction. The magnetic field (in T) at that point is

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$3.1 \times 10^{- 8}$ along negative $z -$ direction

$3.2 \times 10^{7}$ along negative $z -$ direction

$3.2 \times 10^{7}$ along positive $z -$ direction

$3.1 \times 10^{- 8}$ along positive $z -$ direction

answer is A.

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Detailed Solution

$B = \frac{E}{C} = \frac{9.3}{3 \times 10^{8}} = 3.1 \times 10^{- 8}$

And direction $\vec{V} = \vec{E} \times \vec{B} \Rightarrow \hat{i} = \hat{j} \times \hat{B} \Rightarrow \hat{B} = \hat{K}$

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