The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by \(\vec E = 30(2\hat x + \hat y) \sin \left[2\pi (5\times 10^{14} t - \frac{10^7}3z)\right] Vm^{-1}\). Which of the following option(s) is(are) correct? [Given: The speed of light in vacuum, c = 3 × 108 ms–1]
(A) \(B_x=-2\times 10^{-7} \sin \left[2\pi (5\times 10^{14} t - \frac{10^7}3z)\right] Wb\,m^{-2}\)
(B) \(B_y=2\times 10^{-7} \sin \left[2\pi (5\times 10^{14} t - \frac{10^7}3z)\right] Wb\,m^{-2}\)
(C) The wave is polarized in the xy-plane with polarization angle 30° with respect to the x-axis
(D) The refractive index of the medium is 2
