A thin convex lens of focal length $20 \mathrm{cm}$ is split into parts as shown in figure. An object $O$ is placed at distance $10 \mathrm{cm}$ from the lens. The distance between two virtual images of object will be

Consider the figure shown. What is the amount by which the horizontal ray incident on the prism is deviated after it is reflected from the vertical plane mirror?

A ray of light makes normal incidence on the diagonal face of a right-angled prism as shown in figure. If $\theta =$ $37°$ then the angle of deviation is $\left(\sin 37°=\frac{3}{5}\right)$

Light is incident normally on the short face of a $30°-60°-90°$prism. A liquid is poured on the hypotenuse of the prism. If the refractive index of the prism is $\sqrt{3}$ , find the maximum refractive index of the liquid so that light is totally reflected

In the figure $ABC$ is the cross-section of a right angled prism and $BCDE$ is the cross-section of a glass slab. The value of $\theta$. So that light incident normally on the face $AB$ does not cross the face $BC$ is (given ${\sin }^{-1}\left(\frac{3}{5}\right)=37°$ )

Where, $\angle BAC=\theta$.

A plane mirror is placed horizontally inside water $\left(\mu =\frac{4}{3}\right).$ A ray falls normally on it. The mirror is rotated by angle $\theta$ such that after reflection, the ray does not come out of water. The minimum value of $\theta$ is

Figure shows a torch sending a parallel beam of light fixed on a wall and a plane mirror which forms a spot on the wall. As the mirror moves towards the wall, the spot on the wall moves