An $EM$ wave propagating in $x$-direction has a wavelength of $8\,mm$. The electric field vibrating in $y$-direction has a maximum magnitude of $60\,Vm^{-1}$. Choose the correct equations for electric and magnetic fields if the $EM$ wave is propagating in vacuum.

• A
  $E_{y}=60 \sin \left[\frac{\pi}{4} \times 10^{3}(x - 3 \times 10^{8}t)\right] \hat{j}\,Vm^{-1}$,$B_{z}=2 \sin \left[\frac{\pi}{4} \times 10^{3}(x - 3 \times 10^{8}t)\right] \hat{k}\,T$
• B
  $E_{y}=60 \sin \left[\frac{\pi}{4} \times 10^{3}(x - 3 \times 10^{8}t)\right] \hat{j}\,Vm^{-1}$,$B_{z}=2 \times 10^{-7} \sin \left[\frac{\pi}{4} \times 10^{3}(x - 3 \times 10^{8}t)\right] \hat{k}\,T$
• C
  $E_{y}=2 \times 10^{-7} \sin \left[\frac{\pi}{4} \times 10^{3}(x - 3 \times 10^{8}t)\right] \hat{j}\,Vm^{-1}$,$B_{z}=60 \sin \left[\frac{\pi}{4} \times 10^{3}(x - 3 \times 10^{8}t)\right] \hat{k}\,T$
• D
  $E_{y}=2 \times 10^{-7} \sin \left[\frac{\pi}{4} \times 10^{4}(x - 4 \times 10^{8}t)\right] \hat{j}\,Vm^{-1}$,$B_{z}=60 \sin \left[\frac{\pi}{4} \times 10^{4}(x - 4 \times 10^{8}t)\right] \hat{k}\,T$