Embibe Experts Solutions for Chapter: Ray Optics, Exercise 1: TS EAMCET - 10 August 2021 Shift 1

A diver, $30 \mathrm{m}$ below water surface is trying to shine a torch light towards the point O which is horizontally $30 \mathrm{m}$ away. The amount and direction in which diver has to swim (in the figure) so that the light can not travel outside the surface of water is (Refractive index of water $=\frac{4}{3}$)

A beaker contains oil upto a height of $28 \mathrm{mm}$ and water upto height of $26 \mathrm{mm}$. Find the apparent shift in position of the bottom of the beaker when viewed from the top $\left(n_{\mathrm{water} }=1.33, n_{\mathrm{oil}}=1.4\right)$

A concave glass lens of refractive index $1.5$ is immersed in carbon di-sulfide (refractive index $=1.6$). Which of the following is true?
[ Assume both surfaces of the lens have same radius of curvature $=R$]

A $45°-90°$ prism as shown in the figure is immersed in water. A ray of light is incident normally on one of its shorter faces. The minimum index of refraction that the prism must have if this ray is to be totally reflected within the glass at the long face of the glass is (Assume refractive index of water $n_{\mathrm{water}}=1.3$)

Conditions for total internal reflection to occur are
a) The ray should travel from rarer to denser medium
b) The ray should travel from denser to rarer medium
c) The angle of incidence should be greater than the critical angle
d) The angle of incidence should be less than the critical angle

A convex lens is in contact with a concave lens. The magnitude of the ratio of their focal length is $\frac{5}{3}.$ If their equivalent focal length is $45 \mathrm{cm},$ the individual focal lengths of concave and convex lens are respectively.

In which colour have maximum dispersion

What power should the reading spectacles (lens) have for a person for whom the least distance is $50 \mathrm{cm}$ (in dioptre)