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Physics Question on Electromagnetic waves

A plane electromagnetic wave of frequency 25 MHz25 \,MHz travels in free space along the xx-direction. At a particular point in space and time, E=6.3j^ V/mE=6.3 \hat{j} \,V / m. At this point BB is equal to

A

8.33×10−8 k^T8.33 \times 10^{-8}\,\hat{ k} T

B

18.9×10−8 k^T18.9 \times 10^{-8}\,\hat{ k} T

C

2.1×10−8 k^T2.1 \times 10^{-8} \,\hat{k }T

D

2.1×108 k^T2.1 \times 10^{8} \,\hat{k} T

Answer

2.1×10−8 k^T2.1 \times 10^{-8} \,\hat{k }T

Explanation

Solution

c=EBc=\frac{E}{B}
Magnetic field, B=EcB=\frac{E}{c}
=6.33×108=\frac{6.3}{3\times 10^{8}}
=2.1×10−8= 2.1\times 10^{-8}