A lens is made up of 3 different transparent media as shown in figure. A point object O is placed on its axis beyond $$2f$$. How many real images will...

$$\epsilon_0$$ and $$\mu_0$$ are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a ...

A horizontal ray of light is incident on the right angled prism with prism angle $$6^{\circ}$$. If the refractive index of the material of the prism i...

Which set of colours will come out in air for a situation shown in figure?...

An object is mounted on a wall. Its image of equal size is to be obtained on a parallel wall with the help of a convex lens placed between these walls...

Light travels a distance $$\mathrm{x}$$ in time $$t_{1}$$ in air and $$10 \mathrm{x}$$ in time $$t_{2}$$ in another denser medium. What is the critica...

For Young's double slit experiment, two statements are given below : Statement I : If screen is moved away from the plane of slits, angular separation...

In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin) ? ...

Two thin lenses are of same focal lengths $$(f)$$, but one is convex and the other one is concave. When they are placed in contact with each other, th...

During a cloudy day, a primary and a secondary rainbow may be created, then the :

If the screen is moved away from the plane of the slits in a Young's double slit experiment, then the :

After passing through a polariser a linearly polarised light of intensity I is incident on an analyser making an angle of 30$$^\circ$$ with that of th...

An astronomical refracting telescope is being used by an observer to observe planets in normal adjustment. The focal lengths of the objective and eye ...

A biconvex lens has radii of curvature, 20 cm each. If the refractive index of the material of the lens is 1.5, the power of the lens is

In a Young's double slit experiment, a student observes 8 fringes in a certain segment of screen when a monochromatic light of 600 nm wavelength is us...

A light ray falls on a glass surface of refractive index $$\sqrt3$$, at an angle 60$$^\circ$$. The angle between the refracted and reflected rays woul...

When light propagates through a material medium of relative permittivity $$\varepsilon $$r and relative permeability $$\mu$$r, the velocity of light, ...

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 $$\times$$ 108 m/s and 2.0 $$\times$$ 108 m...

Find the value of the angle of emergence from the prism. Refractive index of the glass is $$\sqrt 3 $$...

A convex lens 'A' of focal length 20 cm and a concave lens 'B' of focal length 5 cm are kept along the same axis with a distance 'd' between them. If ...

A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since :

A point object is placed at a distance of 60 cm from a convex lens of focal length 30 cm. If a plane mirror were put perpendicular to the principal ax...

Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is :

A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surf...

In Young's double slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is d...

Light with an average flux of 20 W/cm2 falls on a non-reflecting surface at normal incidence having surface area 20 cm2. The energy received by the su...

The Brewster's angle ib for an interface should be :

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1m away, was fo...

In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refrac...

Pick the wrong answer in the context with rainbow.

Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combinati...

The refractive index of the material of a prism is $$\sqrt 2 $$ and the angle of the prism is 30°. One of the two refracting surfaces of the prism is ...

An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards...

In Young’s double slit experiment the separation d between the slits is 2 mm, the wavelength $$\lambda $$ of the light used is 5896 $$\mathop A\limits...

Unpolarised light is incident from air on a plane surface of a material of refractive index $$\mu $$. At a particular angle of incidence i, it is foun...

An astronomical refracting telescope will have large angular magnification and high angular resolution, when it has an objective lens of

The ratio of resolving powers of an optical microscope for two wavelength $$\lambda $$1 = 4000 $$\mathop A\limits^ \circ $$ and $${\lambda _2}$$ = 60...

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies wh...

A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a ...

A thin prism having refracting angle 10o is made of glass of refractive infex 1.42. This prism is combined with another thin prism of glass of refract...

Two polaroids P1 and P2 are placed with their axis perpendicular to each other. Unpolarised light $$I$$0 is incident on P1. A third polaroid P3 is kep...

Two identical glass ($$\mu $$g = 3/2) equiconvex lenses of focal length $$f$$ each are kept in contact. The space between the two lenses is filled wit...

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio $${{{I_{max}} - {I_...

An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed fr...

A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aparture is illuminated normally by a par...

A person can see clearly objects only when they lie between 50 cm and 400 cm from his eyes . In order to increase the maximum distance of distinct vis...

Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror] .tg {border-collapse:collapse;borde...

In a diffraction pattern due to a single slit of width $$a$$, the first minimum is observed at an angle 30o when light of wavelength 5000 $$\mathop A...

The intensity at the maximum in a Young's double slit experiment is $$I$$0. Distance between two slits is d = 5$$\lambda $$, where $$\lambda $$ is the...

The angle of incidence for a ray of light at a refracting surface of a prism is 45o. The angle of prism is 60o. If the ray suffers minimum deviation ...

A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, t...

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen's wavelet from the ...

A beam of light consisting of red, green and blue colours is incifent on a right angled prism. The refractive index of the material of the prism for t...

In an astronomical telescope in normal adjustment a straight black line of length L is drawn on inside part of objective lens. The eye-piece forms a r...

Two slits in Young's experiment have widths in the ratio 1 : 25. The ratio of intensity at the maxima and minima in the interference pattern, $${{{I_...

For a parallel beam of monochromatic light of wavelength '$$\lambda $$' , diffraction is produced by a single slit whose width 'a' is of the order of ...

The refracting angle of a prism is A, and refractive index of the material of the prism is cot (A/2). The angle of minimum deviation is

In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What ...

Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in ...

The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2 A on the first surface returns ba...

A beam of light of $$\lambda = 600$$ nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a...

If the focal length of objective lens is increased then magnifying power of

In the Young's double slit experiment, the intensity of light at a point on the screen where the path difference $$\lambda $$ is K, ($$\lambda $$ bein...

In Young's double slit experiment the distance between the slits and the screen is doubled. The separation between the slits is reduced to half. As a ...

A parallel beam of light of wavelength $$\lambda $$ is incident normally on a narrow slit. A diffraction pattern formed on a screen placed perpenficul...

Two plane mirrors are inclined at 70o. A ray incident on one mirror at angle, $$\theta $$ after reflection falls on second mirror and is reflected fro...

The reddish appearance of the sun at sunrise and sunset is due to

A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials...

For a normal eye, the cornea of eye provides a converging power of 40 D and the least converging power of the eye lens behinf the cornea is 20 D. Usin...

In Young's double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths $${\lambda _1}$$ = 12000 $$\mathop A\lim...

A parallel beam of fast moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. If t...

For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index.

A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its enf closer to the pole is 20 cm a...

When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must...

A ray of light is incident at an angle of incidence i, on one face of a prism of angle A (assumed to be small ) and emerges normally from the opposite...

A concave mirror of focal length $$f$$1 is placed at a distance of d from a convex lens of focal length $$f$$2. A beam of light coming from infinity a...

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 le...

A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opp...

A thin prism of angle 15o made of glass of refractive index $$\mu $$1 = 1.5 is combined with another prism of glass of refractive index $$\mu $$2 = 1....

Which of the following is not due to total internal reflection ?

A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options describe best the image formed of an object of height...

The speed of light in media M1 and M2 are 1.5 $$ \times $$ 108 m/s and 2.0 $$ \times $$ 108 m/s respectively. A ray of light enters from medium M1 to ...

A rays of light is incident on a 60o prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the p...

A ray of light travelling in a transparent medium of refractive index $$\mu $$, falls on a surface separating the medium from air at an angle of incid...

A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter $${d \over 2}$$ in central region of lens ...

Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is

A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1...

A small coin is resting on the bottom of a beaker filled with liquid . A ray of light from the coin travels upto the surface of the liquid and moves a...

The frequency of a light wave in a material is 2 $$ \times $$ 1014 Hz and wavelength is 5000 $$\mathop A\limits^ \circ $$. The refractive index of ma...

A microscope is focussed on a mark on a piece of paper and then a slab of glass of thickness 3 cm and refractive index 1.5 is placed over the mark. Ho...

A convex lens and a concave lens, each having same focal length of 25 cm, are put in contact to form a combination of lenses. The power in diopters of...

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 $$\mathop A\limits^ \circ $$ is of the order of

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between thes...

The refractive index of the material of a prism is $$\sqrt 2 $$ and its refracting angle is 30o. One of the refracting surfaces of the prism is made a...

A beam of light composed of red and green ray is incident obliquely at a point on the face of rectangular glass slab. When coming out on the opposite ...

A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will

An equiconvex lens is cut into two halves along (i) XOX' and (ii) YOY' as shown in the figure. Let $$f,f',$$ $$f''$$ be the focal lengths of the c...

A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. The lens is placed at a distance d ahead of ...

Diameter of human eye lens is 2 mm. What will be the minimum distance between two points to resolve them, which are situated at a distance of 50 meter...

For the given incident ray as shown in figure, the condition of total internal refraction of this ray the required refractive index of prism will be ...

A ray of light travelling in air have wavelength $$\lambda $$, frequency n, velocity v and intensity $$I$$. If this ray enters into water then these p...

Optical fibre are based on

A disc is placed on a surface of pond which has refractive index 5/3. A source of light is placed 4 m below the surface of liquid. The minimum radius ...

A bubble in glass slab ($$\mu $$ = 1.5) when viewed from one side appears at 5 cm and 2 cm from other side, then thickness of slab is

Rainbow is formed due to

For a plano convex lens ($$\mu $$ = 1.5) has radius of curvature 10 cm. It is silvered on its plane surface. Find focal length after silvering

A tall man of height 6 feet, want to see his full image. Then required minimum length of the mirror will be