An electromagnetic wave travelling in the x-direction has frequency of 2 × 1014 Hz and electric field amplitude of 27 Vm-1. From the options given below, which one describes the magnetic field for this wave?
1
\(\vec B\left( {x,t} \right) = \left( {3 \times {{10}^{ - 8}}T} \right)\hat j,\sin \left[ {2\pi \left( {1.5 \times {{10}^{ - 8}}x - 2 \times {{10}^{14}}t} \right)} \right]\)
2
\(\vec B\left( {x,t} \right) = \left( {9 \times {{10}^{ - 8}}T} \right)\hat j,\sin \left[ {\left( {1.5 \times {{10}^{ - 6}}x - 2 \times {{10}^{14}}t} \right)} \right]\)
3
\(\vec B\left( {x,t} \right) = \left( {9 \times {{10}^{ - 8}}T} \right)\hat k,\sin \left[ {2\pi \left( {1.5 \times {{10}^{ - 6}}x - 2 \times {{10}^{14}}t} \right)} \right]\)
4
More than one of the above
5
None of the above