Q.

An electromagnetic wave travelling along z-axis is given as  E→=E→ocos(kz−wt)(-j^). Choose the wrong option from the following

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a

The associated magnetic field is given as  B→=1C(k^×E→)

b

The electromagnetic field can be written in terms of the associated magnetic field as  E→=C(B→×k^)

c

k^.E→=0 , k^.B→=0

d

k^×E→=0 , k^×B→=0

answer is D.

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Detailed Solution

Suppose an electromagnetic wave is travelling along negative z-direction. Its electric field is given by E→=E→ocos(kz−wt)(-j^) which is perpendicular to  Z-axis. It acts along negative y-directionThe associated magnetic field  in electromagnetic wave is along positive x-axis, i.e, along (k^×E→). As  Bo=EoC  ∴B→=1C(k^×E→)So, option 1 is correctThe associated electric field can be written in terms of magnetic field as E→=C(B→×k^) . So, option 2 is correctAngle between k^ and E→ is 900 and between  k^ and  B→ is 900 . So option 3 is correct
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An electromagnetic wave travelling along z-axis is given as  E→=E→ocos(kz−wt)(-j^). Choose the wrong option from the following