Ray Optics PYQs - Last 5 Years

White light is incident on the interface of glass and air as shown in figure. If green light is just totally internally reflected, then reflected rays inside the glass contain

A convex lens of focal length ' $f$ ' produces a real image whose size is ' $n$ ' times the size of an object. The distance of the object from the lens is

Two thin lenses have a combined power of +9D. When they are separated by a distance of 20 cm , their equivalent power becomes $+\frac{27}{5} \mathrm{D}$. The power of both the lenses in dioptre are respectively

The telescopes, for a given wavelength, the objectives with large aperture are used for

A plane mirror produces a magnification of

The focal length of combination of lenses formed with lenses having power of +2.50 D and $-3.75$ D will be

A concave mirror of focal length ' $f$ ' produces an image ' $n$ ' time the size of the object. If the image is real, then the distance of the object from the mirror is

A glass slab of thickness 4.8 cm is placed on the piece of paper on which an ink dot is marked. By how much distance would an ink dot appear to be raised?
(The refractive index of glass $=1.5$ )

The angle of incidence is found to be twice the angle of refraction when ray of light passes from vacuum into a medium of refractive index ' $\mu$ '. The angle of incidence will be

Optical path of a particular ray of light has travelled a distance of 3 cm in flint glass is same as that on travelling a distance ' $x$ ' cm through another medium. The value of ' $x$ ' is [refractive index of flint glass $=1 \cdot 6$, ref...

A plane mirror is placed at the bottom of a tank containing a liquid of refractive index ' $\mu$ ', ' $p$ ' is a small object at a height ' $h$ ' above the mirror. An observer ' $O$ ' vertically above ' $p$ ' outside the liquid sees ' $p$ '...

A ray of light travelling through a rarer medium is incident at very small angle ' $i$ ' on a glass slab and after refraction its velocity is reduced by $25 \%$. The angle of deviation is

An optician makes spectacles having a combination of a convex lens of focal length 40 cm in contact with a concave lens of focal length 25 cm . The power of this combination of lenses in dioptre is

For a ray of light, the critical angle is minimum, when it travels from

For a symmetric (equilateral) prism, the prism formula can be written as

A glass prism ' A ' deviates the red and blue rays through $10^{\circ}$ and $12^{\circ}$ respectively. A second prism ' B ' deviates them through $8^{\circ}$ and $10^{\circ}$ respectively. The ratio of their dispersive powers is (A to B)

The angle of minimum deviation produced by a thin prism in air is $\delta_1$. If it is immersed in water the angle of minimum deviation is
\(\left[\mathrm{a}_{\mathrm{g}}=\frac{3}{2}, \mathrm{a}_{\mathrm{w}}=\frac{4}{3}\right]\)

When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness 5 cm is same as in water column of height 6 cm . If refractive index of glass is 1.56 , then refractive in...

An ink mark is made on a piece of paper. A glass slab of thickness ' $t$ ' is placed on it. The ink mark appears to be raised up through a distance ' $x$ ' when viewed at nearly normal incidence. If the refractive index of material of glass...

For a light ray to undergo total internal reflection ( $\mathrm{i}=$ angle of incidence, $\mathrm{i}_{\mathrm{c}}=$ critical angle)

A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1.6 and other is 30 cm deep and has refractive index $1 \cdot 5$. The apparent depth of vessel when viewed normally is

Critical angle of light passing from glass to air is minimum for wavelength of

A ray of light is incident on a medium of refractive index ' $\mu$ ' at an angle of incidence ' $i$ '. On refraction in the medium ' $\delta$ ' is the angle of deviation. Then

Simple microscope is used to see the object first in blue light and then a red light. Due to the change from blue to red light, its magnifying power

In compound microscope, the focal length and the aperture of the objective used is respectively

A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of combination is

The angle of prism is \(A\) and one of its refracting surface is silvered. Light rays falling at an angle of incidence '\(2 \mathrm{A}\)' on the first surface return back through the same path after suffering reflection at the silvered surf...

A transparent glass cube of length \(24 \mathrm{~cm}\) has a small air bubble trapped inside. When seen normally through one surface from air outside, its apparent distance is \(10 \mathrm{~cm}\) from the surface. When seen normally from op...

If a ray of light in denser medium strikes a rarer medium at angle of incidence \(i\), the angles of reflection and refraction are \(r\) and \(r^{\prime}\) respectively. If the reflected and refracted rays are at right angles to each other,...

The angle of deviation produced by a thin prism when placed in air is '\(\delta_1\)' and that when immersed in water is '\(\delta_2\)'. The refractive index of glass and water are \(\frac{3}{2}\) and \(\frac{4}{3}\) respectively. The ratio ...

A combination of two thin lenses in contact have power \(+10 \mathrm{D}\). The power reduces to \(+6 \mathrm{D}\) when the lenses are \(0.25 \mathrm{~m}\) apart. The power of individual lens is

When a monochromatic ray of light is passed through an equilateral glass prism, it is found that the refracted ray in glass is parallel to the base of the prism. If '\(i\)' and '\(e\)' denote the angles of incidence and emergence respective...

Refractive index of a glass convex lens is 1.5. The radius of curvature of each of the two surfaces of the lens is \(20 \mathrm{~cm}\). The ratio of the power of the lens when immersed in a liquid of refractive index 1.25 to that when place...

Array of light is incident at an angle of incidence '\(i\)' on one surface of a prism of small angle \(\mathrm{A}\) and emerges normally from the other surface. If the refractive index of the material of the prism is '\(\mu\)', then the ang...

A spherical surface of radius of curvature '\(R\)' separates air from glass of refractive index 1.5. The centre of curvature is in the glass. A point object \(\mathrm{P}\) placed in air forms a real image \(\mathrm{Q}\) in the glass. The li...

The radii of curvature of both the surfaces of a convex lens of focal length \(f\) and power \(P\) are equal. One of the surfaces is made by plane grinding. The new focal length and focal power of the lens is

A ray of light passes through an equilateral prism such that the angle of incidence \((i)\) is equal to angle of emergence \((e)\). The angle of emergence is equal to \(\left(\frac{3}{4}\right)\)th the angle of prism. The angle of deviation...

One of the necessary condition for total internal reflection to take place is
( \(\mathrm{i}=\) angle of incidence, \(\mathrm{i}_{\mathrm{c}}=\) critical angle)

Converging or diverging ability of a lens or mirror is called

An ink mark is made on a piece of paper on which a glass slab of thickness '\(t\)' is placed. The ink mark appears to be raised up through a distance '\(x\)' when viewed at nearly normal incidence. If the refractive index of the material of...

A glass prism deviates the red and violet rays through \(9^{\circ}\) and \(11^{\circ}\) respectively. A second prism of equal angle deviates them through \(11^{\circ}\) and \(13^{\circ}\) respectively. The ratio of dispersive power of secon...

The prism has refracting angle '\(\mathrm{A}\)'. The second refracting surface of the prism is silvered. Light ray falling on first refracting surface with angle of incidence '\(2 \mathrm{~A}\)', reaches the second surface and returns back ...

The size of the real image produced by a convex lens of focal length \(F\) is '\(m\)' times the size of the object. The image distance from the lens is

A double convex lens of focal length '\(F\)' is cut into two equal parts along the vertical axis. The focal length of each part will be

A double convex air bubble in water behaves as

Which of the following is NOT involved in the formation of secondary rainbow?

Two lenses of power \(-15 \mathrm{D}\) and \(+5 \mathrm{D}\) are in contact with each other. The focal length of the combination is

To get three images of a single object, the angle between the two plane mirrors should be

The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is

The speed of light in two media \(M_1\) and \(M_2\) are \(1.5 \times 10^8\) \(\mathrm{m} / \mathrm{s}\) and \(2 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. If the light undergoes total internal reflection, the critical angle betwee...