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For a plane electromagnetic wave, the magnetic field at a point x  and time t is 
 Bx,t=1.2×107sin0.5×103x+1.5×1011tk^T
The instantaneous electric field E corresponding to B  is ( speed of light c=3×108ms1)  

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a
E→(x,t) =36 sin1× 103x+ 0.5 × 1011t j^Vm
b
E→(x,t) =36 sin 0.5 × 103x+1.5× 1011t i^Vm
c
E→(x,t) =−36 sin 0.5 × 103x+1.5× 1011t j^Vm
d
E→(x,t) =36 sin 0.5 × 103x+1.5× 1011t k^Vm

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detailed solution

Correct option is C

Eo=cBo=36Vm​E^=B^×C^=k^×−i^=−j^Also E-field and B-field should be mutually perpendicular and have the same frequency and wavelength as they both represents the  same wave.Therefore correct key is option : 3


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