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

A monochromatic light wave is incident normally on a glass slab of thickness \( d \), as shown in the figure. The refractive index of the slab increases linearly from \( n_{1} \) to \( n_{2} \) over the height \( h \). Which of the following statement(s) is (are) true about the light wave emerging out of the slab?

A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is \( \delta = 60^\circ \) (see Figure-\( 1 \)). The angle of minimum deviation for red light from the same prism is \( \delta_{\min} = 30^\circ \) (see Figure-\( 2 \)). The refractive index of the prism material for blue light is \( \sqrt{3} \). Which of the following statement(s) is(are) correct?