CSIR UGC NET Physical Science June 2019 EM field & boundary conditions

the questions goes like this

The question goes like this
which of the following is not a correct boundary condition at an interface between two  homogeneous dielectric media ? In the following n cap is a unit vector normal to the interface Sigma and JS are the surface charge and current density is respectively: Image below shows the question

second question goes like this 

The permittivity tensor of uniaxial anisotropic medium in the standard condition basis is where it Salon is a constant the wavenumber of an Electromagnetic plane web polarized along the X direction and propagating along the Y direction in the medium( in terms of the wavenumber k0 of the wave in vacuum is). The question goes like this
which of the following is not a correct boundary condition at an interface between two  homogeneous dielectric media ? In the following n cap is a unit vector normal to the interface Sigma and JS are the surface charge and current density is respectively: Image below shows the question

Solution is below

The Slide PDF can be found here :

Csr ugc net phy june19 physics q(15 16 of 55) solution from bkacademy