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If the magnetic field in a plane electro...

If the magnetic field in a plane electro-magnetic wave is given by `vecB=3xx10^(-8) sin (1.6 xx 10^(3) x + 48 xx 10^(10)t)hatjT,` then average intensity of the beam is:

A

`0.21W//m ^(2)`

B

`0.24 W//m^(2)`

C

`0.34W//m^(2)`

D

`0.11 W//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`I _(avg) = (CB_(0)^(2))/(2 mu _(0))=( 3xx 10^(8) m //s xx (3 xx 10^(-8) T )^(2))/(2xx4pi xx 10^(-7) T.m.A ^(-1))= (27)/(80pi) W//m^(2)`
So, `I _(arg) = 0.11 W//m ^(2)`
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