Ray Optics PYQs - Last 10 Years

An object is placed 25 cm in front of a fully silvered concave mirror of focal length 15 cm . A plane mirror is placed 35 cm behind the concave mirror on the side opposite to the object. The final image after reflection first from the conca...

A glass slab of 16 cm thickness has its bottom surface silvered. An air bubble is located inside the glass slab at a distance of 8 cm from the top surface. The refractive index of glass is 1.6 . Which of the following correctly represents t...

If a clear liquid has a refractive index of 1.45 and a transparent solid has a refractive index of 2.9 , then for total internal reflection to occur at the interface between the two media; which of the following is correct?
A. The ray must ...

An object is placed at an unknown distance from a convex objective lens of focal length 5 cm . The objective lens forms a real image which acts as an object for a convex eyepiece of focal length 6.25 cm . The distance between the objective ...

An object placed 40 cm in front of a thin convex lens is moved to 60 cm from the lens. If the focal length of the lens is 30 cm the ratio of magnification of the image at the initial position to the final position is:

The distance between the objective and eye piece of astronomical telescope in normal adjustment is 27 cm and its magnifying power is 8 . What is the focal length of the eye piece?

The ratio of the angle of deviation produced by a thin prism, when it is placed in air to the angle of deviation produced when it is immersed in water of refractive index $\frac{4}{3}$ is:

The critical angle for a typical glass air interface is $42^{\circ}$. If a ray of light falls normally on one of the faces of the prism of angle $45^{\circ}$. The emergent ray will:

A convex lens forms a real image of an object with magnification $m_1$. The lens is moved towards the object to obtain another real image of magnification $m_2$. The image distance is increased by $x$. The focal length of the lens is

One surface of a lens is convex and the other is concave. If the radii of curvatures are $R$ and $r$ respectively, the lens will be convex if

A plano-convex lens made of refractive index 1.5 and having radius of curvature $\mathrm{R}=4 \mathrm{~cm}$ fits exactly into a planoconcave lens made of refractive index 1.3 and having the same radius of curvature $R=4 \mathrm{~cm}$ such t...

An object of height $h$ is placed midway between $f$ and $2 f$ in front of a biconvex lens. A real inverted image is captured on a screen placed a little beyond 2 f on the other side of the lens. If the whole arrangement is immersed in wate...

In the normal adjustment of an astronomical telescope, the objective and eyepiece are 36 cm apart. If the magnifying power of the telescope is 8 , find the focal lengths of the objective and eyepiece.

A beam of incident parallel light falls on a diverging lens of focal length 20 cm in magnitude. If a converging lens of focal length 15 cm in magnitude is placed at a distance of 10 cm to the right of the diverging lens on the other side, t...

The focal lengths of the objective and eyepiece of a compound microscope are 1 cm and 10 cm respectively. Length of the tube is 25 cm . If the final image is formed at infinity , the magnifying power of the microscope is :

What is the velocity of light in vacuum if the velocity of light in a medium of refractive index 1.2 is ' v ' $\mathrm{ms}^{-1}$ ?

A ray of light is travelling from glass of refractive index $\frac{3}{2}$ to water of refractive Index $\frac{4}{3}$. What is the minimum angle of incidence for which no light enters in to the water?

A beam of light parallel to the principal axis of a concave and convex lens, first passes through the concave lens of focal length 0.5 m and then through the convex lens of focal length 1.75 m . If the lenses are placed 1.25 apart, which of...

When a body of refractive index $\boldsymbol{\mu}=\mathbf{1 . 4}$ is put into a liquid, the body becomes invisible. What would be the refractive index of the medium?

In the normal adjustment of an astronomical telescope, the objective and eyepiece are \(32 \mathrm{~cm}\) apart. If the magnifying power of the telescope is 7, find the focal lengths of the objective and eyepiece.

A ray of light travelling through a medium of refractive index \(\frac{5}{4}\) is incident on a glass of refractive index \(\frac{3}{2}\). Find the angle of refraction in the glass, if the angle of incidence at the given medium - glass inte...

When a particular wave length of light is used the focal length of a convex mirror is found to be \(10 \mathrm{~cm}\). If the wave length of the incident light is doubled keeping the area of the mirror constant, the focal length of the mirr...

For a \(30^{\circ}\) prism when a ray of light is incident at an angle \(60^{\circ}\) on one of its faces, the emergent ray passes normal to the other surface. Then the refractive index of the prism is:

Figure below shows a lens of refractive index, \(\mu=1.4\). \(C_1\) and \(C_2\) are the centres of curvature of the two faces of the lens of radii of curvature \(4 \mathrm{~cm}\) and \(8 \mathrm{~cm}\) respectively.

The lens behaves as a

A telescope has an objective of focal length \(60 \mathrm{~cm}\) and eyepiece of focal length \(5 \mathrm{~cm}\). The telescope is focussed for least distance of distinct vision \(300 \mathrm{~cm}\) away from the object. The magnification p...

A hollow prism is filled with water and placed in air. It will deviate the incident rays

When a biconvex lens of glass of refractive index 1.5 is dipped in a liquid, it acts like a plane sheet of paper.
This means the refractive index of the liquid is

To a fish under water, viewing obliquely, a fisherman standing on the bank of a lake looks

In a container of height \(21 \mathrm{~cm}\), certain transparent liquid is taken to a height of \(12 \mathrm{~cm}\). When seen from above, it appears half filled. The refractive index of the liquid is

Light enters at an angle of incidence in a transparent rod of refractive index '\(n\)'. The least value of '\(n\)' for which the light once entered into it will not leave it through its lateral face whatsoever be the value of the angle of i...

An object is placed at a distance of \(12 \mathrm{~cm}\) from a convex lens on its principal axis and a virtual image of certain size is formed. If the object is moved \(4 \mathrm{~cm}\) away from the lens, a real image of the same size as ...

What will be change in wave length, if a light of wave length \(600 \mathrm{~nm}\) travels from air enters a medium of refractive index 1.5 and continues its journey through that medium?

A lens of power \(+1 \mathrm{D}\) is made in contact with another lens of power \(-2 \mathrm{D}\) the combination will then act as a:

A person has a normal near point \(25 \mathrm{~cm}\). What is the magnifying power of the simple microscope he used, if the focal length of the convex lens used is \(10 \mathrm{~cm}\) and the final image is formed at the least distance of d...

When angle of incidence on one face of the equilateral glass prism is \(3 / 4^{\text {th }}\) of the angle of prism, the ray of light undergoes minimum deviation. If the velocity of light in vacuum is '\(c\)' then the velocity of light in t...

The critical angle of a medium having the refractive index \(\sqrt2\) is :

A fish in water (refractive index \(n\) ) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

An air bubble in water \(\left(\mu=\frac{4}{3}\right)\) is shown in figure. The apparent depth of the image of the bubble in plane mirror viewed by observer is.

A plane glass mirror of thickness 3 cm of material of \(\mu=\frac{3}{2}\) is silvered on the black surface. When a point object is placed 9 cm from the front surface of the mirror, then the position of the brightest image from the front sur...

A point object is placed on the optic axis of a convex lens of focal length \(f\) at a distance of \(2f\) to the left of it. The diameter of the lens is \(d\). An eye is placed at a distance of \(3f\) to the right of the lens and a distance...

The magnifying power of a telescope is 9. When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20 cm. The focal length of lenses are

Two converging lenses of focal length 20 cm and 40 cm are placed in contact. The effective power of the combination is

A ray of light suffers minimum deviation in
equilateral prism P. Additional prisms Q and R
of identical shape and of same material as that of
P are now combined as shown in figure. The ray
will now suffer

A convex lens is made of 3 layers of glass of 3 different materials as in the figure.

A point object is placed on its axis. The number
of images of the object are