The relative permeability `(mu_(r))` of a ferromagnetic substance varies with tamperature `(T)` according to the curve
A
A
B
B
C
C
D
D
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C
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The optical properties of a medium are governed by the relative permittivity (epsi_(r)) and relative permeability (mu_(r)) . The refractive index is defined as sqrt(mu_(r)epsi_(r))=n . For ordinary material, epsi_(r) gt 0 and mu_(r) gt 0 and the positive sign is taken for the squre root. In 1964, a Russian scientist V. Veselago postualted the existance of material with epsi_(r) lt 0 and mu_(r) lt 0 . Since, then such metamaterial have been produced in the laboratories and their optical properties studied. For such materials n= - sqrt(mu_(r) epsi_(r)) . As light enters a medium of such refractive index the phases travel away from the direction of propagation. (i) According to the description above show that if rays of light enter such a medium from air ( refractive index =1) at an angle theta in 2nd quadrant, then the refracted beam is in the 3rd quadrant. (ii) Prove that Snell's law holds for such a medium.
