The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by \(\vec{E}=30(2 \hat{x}+\hat{y}) \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right]\)\(\text{ V m} ^{-1}\). Which of the following option(s) is(are) correct?
[Given: The speed of light in vacuum, \(\text c=3 \times 10^8\text{ m s} ^{-1}\) ]

1. A \(B_x=-2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^4 t-\frac{10^7}{3} z\right)\right]\)\(\text{ Wb m} ^{-2}\)
2. B \(\text B_\text{y}=2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^7}{3} z\right)\right]\)\(\text{ Wb m} ^{-2}\)
3. C The wave is polarized in the $xy$-plane with polarization angle ${30}^{\mathrm{o}}$ with respect to the $x$-axis
4. D The refractive index of the medium is $2$