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A plane electromagnetic wave travels in free space along X-direction. If the value of `vecB` (in tesla) at a particular point in space and time is `1.2 xx 10^(-8) hatk`. The value of `vecE` (in `Vm^(-1)`) at that point is

A

`1.2 hatj `

B

`3.6 hatk`

C

`1.2 hatk`

D

`3.6 hatj`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `vecB =1.2 xx 10 ^(-8) hatkT`
The magnetude of `vecE ` is
`E = Bc = (1.2 xx 10 ^(-8) T) (3 xx 10 ^(8) ms ^(-1)) = 3. 6 V m ^(-1)`
`vecB` is along Z-direction and the wave propagates along X-direction. Therefore `vecE` should be in a direction perpendicular to both X and Z axes. Using vector algebra `vecE xx vecB` should be along X-direction.
SInce `(+ hatj) xx (+ hatk) = hati, vecE` is along the Y-direction.
Thus, `vecE=3.6 hatj V m ^(=-1).`
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