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An electromagnetic wave travels in vacuu...

An electromagnetic wave travels in vacuum along z - direction : `vec(E )=(E_(1)hat(i)+E_(2)hat(j))cos(kz-omega t)`. Choose the correct options from the following :

A

The associated magnetic field is given as `vec(B)=(1)/(c )(E_(1)-E_(2)hat(j))cos (kz-omega t)`

B

The associated magnetic field is given as `vec(B)=(1)/(c )(E_(1)hat(i)+E_(2)hat(j))cos (kz-omega t)`

C

The given electromagnetic field is circularly polarised.

D

The given electromagnetic wave is plane polarised.

Text Solution

Verified by Experts

The correct Answer is:
D
Electric field in electromagnetic wave,
`vec(E )=(E_(1)hat(i)+E_(2)hat(j))cos (kz-omega t)` and
Magnetic field vector,
`vec(B)=(vec(E ))/(c )=((E_(1)hat(i)+E_(2)hat(j))cos (kz-omega t))/(c )`
Thus, `vec(E )` and `vec(B)` propagate perpendicular to each other also perpendicular to direction of propagation. Hence electromagnetic waves is plane polarized.
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