Embibe Experts Solutions for Chapter: Ray Optics and Optical Instruments, Exercise 1: Manipur Board-2018

Draw ray diagrams to show how a right angled prism can be used to deviate a ray of light through $\left(\mathrm{i}\right) {90}^{\mathrm{o}}$ and $\left(\mathrm{ii}\right) {180}^{\mathrm{o}}$

Deduce Lens Makers formula for a double convex lens $\frac{1}{\mathrm{f}}=\left(\mathrm{\mu }-1\right)\left(\frac{1}{{\mathrm{R}}_1}-\frac{1}{{\mathrm{R}}_2}\right)$

Where the symbols have their usual meanings.

Deduce the mirror formula $\frac{1}{\mathrm{v}}+\frac{1}{\mathrm{u}}=\frac{1}{\mathrm{f}}$

( where the symbols have their usual meanings ) for a concave mirror forming real image.

Assume that light of wavelength $600\mathrm{nm}$ is coming from a star. What is the limit of angular resolution in radians of a telescope whose objective has a radius $200 \mathrm{cm}$?

Explain why thin clouds look white while clear sky looks blue.

A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)

Draw a neat ray diagram showing the formation of final image by a compound microscope.

The radii of curvature of the faces of a double convex lens made of glass, are $10 \mathrm{cm}$ and $15 \mathrm{cm}$. Its focal length is $12 \mathrm{cm}$.

$\left(\mathrm{a}\right)$ Find the refractive index of glass

$\left(\mathrm{b}\right)$ Calculate its new focal length if the lens is completely immersed in water ( Refractive index of water is $\frac{4}{3}$)