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Q.

A plane electromagnetic wave of frequency 100 MHz is  travelling in vacuum along the x-direction . At a particular point in space and time B→=2.0×10−8k^T.  (Where,  k^  is unit vector along z-direction  of light ). What is  E→  at this point ?(speed of light c=3×108m/s )

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a

6.0k^  V/m

b

0.6  k^  V/m

c

6.0    j^  V/m

d

0.6  j^  V/m

answer is C.

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Detailed Solution

E0=B0c ⇒E0=3×108×2×10−8 ⇒E0=6 V/m Direction of electric field is given by, E^=B^×V^=k^×i^=j^
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A plane electromagnetic wave of frequency 100 MHz is  travelling in vacuum along the x-direction . At a particular point in space and time B→=2.0×10−8k^T.  (Where,  k^  is unit vector along z-direction  of light ). What is  E→  at this point ?(speed of light c=3×108m/s )