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

A candle is placed at $12 \mathrm{cm}$ distance from a concave mirror. Radius of curvature of the mirror is $10 \mathrm{cm}$. Find the position, nature and magnification of the image. 

Draw a labelled diagram depicting the formation of image by an Astronomical Telescope in normal adjustment (when final image is formed at infinity

With the help of a ray diagram, show the formation of the image of a point object by the refraction of light at a spherical convex surface separating two media of refraction indices ${\mu }_1$ and ${\mu }_2$ (${\mu }_2>{\mu }_1$) respectively, Using this diagram derive the relation:$\frac{{\mu }_2}{v}-\frac{{\mu }_1}{u}=\frac{{\mu }_2-{\mu }_1}{R}$

Where used symbols have their usual meanings

Draw the ray diagram showing the refraction of monochromatic light through a glass prism of refraction angle $A$. Hence, derive the formula for the refractive index $\mu$ of glass prism in terms of angle of prism and angle of minimum deviation. Also, draw $i-\delta$ curve of prism. 
 

 Which mirror has an infinite focal length? 

What is optical fibre? Write its two important uses. 

For a thin lens, prove that $\frac{1}{f}=\left(\mu -1\right)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)$

Draw the ray diagram to show the formation of the image by compound microscope and obtain an expression for the magnifying power when the final image is formed at least distance of distinct vision.