A point object $\mathrm{O}$ is placed at a distance of $20\mathrm{cm}$ from convex lens of focal length $10\mathrm{cm}$ as shown in figure. At what distance $\mathrm{x}$ from the lens should a concave mirror of focal length $60\mathrm{cm}$, be placed so the final image coincides with the object-

 

A beam of light consisting of red, green and blue and is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are $1.39,1.44$ and $1.47$ respectively. The prism will-

A ray of light is incident normally ao the refracting face of the prism of refracting angle $\mathrm{A}$. The ray of light comes out at grazing emergence. If one half of the prism(shaded position) is knocked off, the same ray will-

A horizontal ray of light passes through a prism of index $1.50$ and apex angle $4°$ and then strikes a vertical mirror,as shown in the figure. Through what angle must the mirror be rotated if after reflection the ray. $\mathrm{s}$ to be horizontal?

The curve of angle of incidence versus angle of deviation shown has been plotted for prism. The value of refractive index of the prism used is: