An electromagnetic wave travelling in the x-direction has frequency of $2 \times 10^{14}\; Hz$ and electric field amplitude of $27 \;Vm^{-1}$. From the options given below, which one describes the magnetic field for this wave ?

Question

$\begin{array}{1 1} \overrightarrow {B} (x,t) =(3 \times 10^{-8}\;T) \hat j \sin [2 \pi (1.5 \times 10^{-8} x -2 \times 10^{14}t)] \\ \overrightarrow {B} (x,t) =(9 \times 10^{-8}\;T) \hat k \sin [2 \pi (1.5 \times 10^{-6} x -2 \times 10^{14}t)]\\ \overrightarrow {B} (x,t) =(9 \times 10^{-8}\;T) \hat i \sin [2 \pi (1.5 \times 10^{-8} x -2 \times 10^{14}t)] \\ \overrightarrow {B} (x,t) =(9 \times 10^{-8}\;T) \hat j \sin [1.5 \times 10^{-6} x -2 \times 10^{14}t)]\end{array} $