Ray Optics PYQs - Last 5 Years

With reference to the figure shown below, match the following:List-IList-II(a)Angle of reflection(i)$60^\circ$(b)Value of $\alpha$(ii)$120^\circ$(c)Angle of deviation(iii)$30^\circ$

The direction of a ray of light incident on a concave mirror is shown by PQ, while direction in which the ray would travel after reflection is shown by four rays marked as A, B, C and D as shown in the figure. Which of the four rays correct...

The incorrect statement about refractive index for a pair of media is

The critical angle for a monochromatic light going from medium A to medium B is $\theta$. If the speed of light in medium A is $V$, then the speed of light in medium B is

From the graph of angle of deviation versus angle of incidence for an equilateral prism, the refractive index of material of prism is

A ray of light passes from vaccum into a medium of refractive index $n$. If the angle of incidence is twice the angle of refraction, then the angle of incidence in terms of refractive index is

A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in figure. Choose the incorrect option for the reported...

If $r$ and $r^1$ denotes the angles inside the prism having angle of prism $50^{\circ}$ considering that during interval of time from $t=0$ to $t=t, r$ varies with time as $r=10^{\circ}+t^2$. During the time $r^1$ will vary with time as

In determining the refractive index of a glass slab using a travelling microscope, the following readings are tabulated
(a) Reading of travelling microscope for ink mark $=5.123 \mathrm{~cm}$
(b) Reading of travelling microscope for ink mar...

The image formed by an objective lens of a compound microscope is

An equiconvex lens of radius of curvature 14 cm is made up of two different materials. Left half and right half of vertical portion is made up of material of refractive index 1.5 and 1.2 respectively as shown in the figure. If a point objec...

A luminous point object $O$ is placed at a distance $2 R$ from the spherical boundary separating two transparent media of refractive indices $n_1$ and $n_2$ as shown, where $R$ is the radius of curvature of the spherical surface. If $n_1=\f...

The final image formed by an astronomical telescope is

If the angle of minimum deviation is equal to angle of a prism for an equilateral prism, then the speed of light inside the prism is

A point object is moving at a constant speed of 1 ms\(^{-1}\) along the principal axis of a convex lens of focal length 10 cm. The speed of the image is also 1 ms\(^{-1}\), when the object is at ............. cm from the optical centre of t...

An equiconvex lens made of glass of refractive index \(\frac{3}{2}\) has focal length \(f\) in air. It is completely immersed in water of refractive index \(\frac{4}{3}\). The percentage change in the focal length is

For a given pair of transparent media, the critical angle for which colour is maximum?

For a point object, which of the following always produces virtual image in air?

Consider a glass slab which is silvered at one side and the other side is transparent. Given the refractive index of the glass slab to be 1.5. If a ray of light is incident at an angle of \(45^{\circ}\) on the transparent side, then the dev...

Focal length of a convex lens will be maximum for

A convex lens of focal length \(f\) is placed somewhere in between an object and a screen. The distance between the object and the screen is \(x\). If the numerical value of the magnification produced by the lens is \(m\), then the focal le...

A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to \(\frac{3}{4}\) of the angle of the prism. The angle of deviation ...

The power of a equi-concave lens is \(-4.5 \mathrm{D}\) and is made of a material of refractive index 1.6, the radii of curvature of the lens is