IIT JEE Advanced 2012 Paper 2

Paragraph for Questions 13 and 14:
Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell’s law,

sinθ1

sinθ2

, it is understood that the refracted ray bends towards the normal. But it never emerges on the same side of the normal as the incident ray. According to electromagnetism, the refractive index of the medium is given by the relation n = (

c

v

) = ±√εrµr, where c is the speed of electromagnetic waves in vacuum, v its speed in the medium, εr and μr, are the relative permittivity and permeability of the medium, respectively.
In normal materials, both εr and μr, are positive, implying positive n for the medium. When both εr and μr are negative, one must choose the negative root of n. Such negative refractive index materials can now be artificially prepared and are called meta- materials. They exhibit significantly different optical behaviour, without violating and physical laws. Since n is negative, it results in a change in the direction of propagation of the refracted light. However, similar to normal materials, the frequency of light remains unchanged upon refraction even in meta-materials.