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An electromagnetic wave of frequency $45 M H z$ travels in free space along $x -$ axis. At some point and at some instant, the electric field has a maximum value of $750 N / C$ along $y -$ axis. The magnetic field at the position and time is

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$2.5 \times 10^{- 6} \hat{j}$

$5 \times 10^{- 6} \hat{k}$

$2.5 \times 10^{- 6} \hat{k}$

$2.5 \times 10^{- 6} \hat{i}$

answer is C.

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Detailed Solution

$C = \frac{E}{B} \Rightarrow B = \frac{E}{C} = \frac{750}{3 \times 10^{8}} = 2.5 \times 10^{- 6} T$

B must be perpendicular to both C and E
i.e., it is along $z -$ axis

$B = 2.5 \times 10^{- 6} \hat{k} T$

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