Embibe Experts Solutions for Chapter: Ray Optics, Exercise 1: Exercise 1

A point source $\mathrm{S}$ is placed at the bottom of different layers as shown in the figure. The refractive index of bottommost layer is ${\mathrm{\mu }}_0$. The refractive index of any other upper layer is $\mathrm{\mu }\left(\mathrm{n}\right)={\mathrm{\mu }}_0+\frac{{\mathrm{\mu }}_0}{4\mathrm{n}-18}$ A ray of light with angle $\mathrm{i}=30°$ start from the source $\mathrm{S}$. Total internal reflection takes place at the upper surface of layer having $\mathrm{n}$ equal to

Two thin slabs of refractive indices ${\mathrm{\mu }}_1$ and ${\mathrm{\mu }}_2$ are placed parallel to each other in the $\mathrm{x}-\mathrm{y}$ plane. If the direction of propagation of a ray the two media are along the unit vectors ${\hat{\mathrm{r}}}_1=\mathrm{a}\hat{\mathrm{i}}+\mathrm{b}\hat{\mathrm{j}}$ and ${\hat{\mathrm{r}}}_2=\mathrm{c}\hat{\mathrm{i}}+\mathrm{d}\hat{\mathrm{j}}$ then we have 

Optical fibers transmit light signals from one place to another place by

Numerical aperture of an optical fiber is a measure of

A converging lens having magnitude of focal length as $f_1$ is kept coaxially in contact with a diverging lens having magnitude of focal length as $f_2$. The focal length of the combination would be:

If $a$ is the size of scatterer and $\mathrm{\lambda }$ is the wavelength of light then Rayleigh law of scattering is valid for

Two lens of power $+4D$ and $-2D$ are placed in contact to form an achromatic doublet. The ratio of their dispersive power is

The refractive indices of the material of a lens for violet, yellow and red colours of light are $1.66, 1.64$ and $1.62$ respectively. The mean focal length of the lens is $10 \mathrm{cm}.$ The chromatic aberration of the lens between the violet and red colour is