Questions in Ray Optics and Optical Instruments

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If $_{i}{{\mu }_{j}}$ represents refractive index when a light ray goes from medium i to medium j, then the product $_{2}{{\mu }_{1}}\times {{\,}_{3}}{{\mu }_{2}}\times {{\,}_{4}}{{\mu }_{3}}$ is equal to
The wavelength of light diminishes $\mu $ times ($\mu =1.33$ for water) in a medium. A diver from inside water looks at an object whose natural colour is green. He sees the object as
Ray optics fails when
When light travels from air to water and from water to glass, again from glass to $C{{O}_{2}}$ gas and finally through air. The relation between their refractive indices will be given by
For a colour of light the wavelength for air is 6000 Å and in water the wavelength is 4500 Å. Then the speed of light in water will be
A ray of light travelling inside a rectangular glass block of refractive index $\sqrt{2}$ is incident on the glass–air surface at an angle of incidence of 45°. The refractive index of air is 1. Under these conditions the ray
If ${{\varepsilon }_{0}}$ and ${{\mu }_{0}}$ are respectively, the electric permittivity and the magnetic permeability of free space, $\varepsilon $ and $\mu $ the corresponding quantities in a medium, the refractive index of the medium is
A beam of monochromatic blue light of wavelength 4200Å in air travels in water ($\mu =4/3$). Its wavelength in water will be
If ${{\mu }_{_{0}}}$ be the relative permeability and ${{K}_{0}}$ the dielectric constant of a medium, its refractive index is given by
If the speed of light in vacuum is $C$ $m/\sec ,$ then the velocity of light in a medium of refractive index 1.5

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