# Geometrical Optics · Physics · JEE Main

Start Practice## MCQ (Single Correct Answer)

JEE Main 2024 (Online) 9th April Evening Shift

The following figure represents two biconvex lenses $$L_1$$ and $$L_2$$ having focal length $$10 \mathrm{~cm}$$ and $$15 \mathrm{~cm}$$ respectively. ...

JEE Main 2024 (Online) 9th April Morning Shift

Given below are two statements :
Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre ...

JEE Main 2024 (Online) 8th April Evening Shift

The position of the image formed by the combination of lenses is :
...

JEE Main 2024 (Online) 8th April Morning Shift

Critical angle of incidence for a pair of optical media is $$45^{\circ}$$. The refractive indices of first and second media are in the ratio:

JEE Main 2024 (Online) 6th April Evening Shift

For the thin convex lens, the radii of curvature are at $$15 \mathrm{~cm}$$ and $$30 \mathrm{~cm}$$ respectively. The focal length the lens is $$20 \m...

JEE Main 2024 (Online) 4th April Morning Shift

An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is $$25 \mathrm{D}$$. Focal length...

JEE Main 2024 (Online) 4th April Morning Shift

In an experiment to measure focal length ($$f$$) of convex lens, the least counts of the measuring scales for the position of object (u) and for the p...

JEE Main 2024 (Online) 31st January Morning Shift

The refractive index of a prism with apex angle $$A$$ is $$\cot A / 2$$. The angle of minimum deviation is :

JEE Main 2024 (Online) 29th January Evening Shift

If the distance between object and its two times magnified virtual image produced by a curved mirror is $$15 \mathrm{~cm}$$, the focal length of the m...

JEE Main 2024 (Online) 29th January Morning Shift

A convex mirror of radius of curvature $$30 \mathrm{~cm}$$ forms an image that is half the size of the object. The object distance is :

JEE Main 2024 (Online) 29th January Morning Shift

A biconvex lens of refractive index 1.5 has a focal length of $$20 \mathrm{~cm}$$ in air. Its focal length when immersed in a liquid of refractive ind...

JEE Main 2024 (Online) 27th January Morning Shift

If the refractive index of the material of a prism is $$\cot \left(\frac{A}{2}\right)$$, where $$A$$ is the angle of prism then the angle of minimum d...

JEE Main 2024 (Online) 27th January Morning Shift

Identify the physical quantity that cannot be measured using spherometer :

JEE Main 2024 (Online) 27th January Morning Shift

A convex lens of focal length $$40 \mathrm{~cm}$$ forms an image of an extended source of light on a photoelectric cell. A current I is produced. The ...

JEE Main 2023 (Online) 13th April Morning Shift

A vessel of depth '$$d$$' is half filled with oil of refractive index $$n_{1}$$ and the other half is filled with water of refractive index $$n_{2}$$....

JEE Main 2023 (Online) 12th April Morning Shift

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $$12 \mathrm{~cm}$$. When viewed from the opposite s...

JEE Main 2023 (Online) 11th April Evening Shift

When one light ray is reflected from a plane mirror with $$30^{\circ}$$ angle of reflection, the angle of deviation of the ray after reflection is :...

JEE Main 2023 (Online) 11th April Morning Shift

The critical angle for a denser-rarer interface is $$45^{\circ}$$. The speed of light in rarer medium is $$3 \times 10^{8} \mathrm{~m} / \mathrm{s}$$....

JEE Main 2023 (Online) 10th April Morning Shift

An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by...

JEE Main 2023 (Online) 8th April Morning Shift

In a reflecting telescope, a secondary mirror is used to:

JEE Main 2023 (Online) 6th April Evening Shift

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The phase difference of two light wa...

JEE Main 2023 (Online) 6th April Evening Shift

A 2 meter long scale with least count of $$0.2 \mathrm{~cm}$$ is used to measure the locations of objects on an optical bench. While measuring the foc...

JEE Main 2023 (Online) 6th April Morning Shift

A monochromatic light wave with wavelength $$\lambda_{1}$$ and frequency $$v_{1}$$ in air enters another medium. If the angle of incidence and angle o...

JEE Main 2023 (Online) 1st February Evening Shift

Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between im...

JEE Main 2023 (Online) 31st January Evening Shift

A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$
is poured inside the bucket, then the m...

JEE Main 2023 (Online) 30th January Evening Shift

A thin prism $P_1$ with an angle $6^{\circ}$ and made of glass of refractive index $1.54$ is combined with another prism $P_2$ made from glass of refr...

JEE Main 2023 (Online) 30th January Morning Shift

A person has been using spectacles of power $$-1.0$$ dioptre for distant vision and a separate reading glass of power $$2.0$$ dioptres. What is the le...

JEE Main 2023 (Online) 29th January Evening Shift

A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best ...

JEE Main 2023 (Online) 25th January Evening Shift

The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :-
A. Real
B...

JEE Main 2023 (Online) 24th January Evening Shift

When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different poi...

JEE Main 2022 (Online) 29th July Evening Shift

Light enters from air into a given medium at an angle of $$45^{\circ}$$ with interface of the air-medium surface. After refraction, the light ray is d...

JEE Main 2022 (Online) 28th July Evening Shift

The power of a lens (biconvex) is $$1.25 \mathrm{~m}^{-1}$$ in particular medium. Refractive index of the lens is 1.5 and radii of curvature are $$20 ...

JEE Main 2022 (Online) 28th July Morning Shift

As shown in the figure, after passing through the medium 1 . The speed of light $$v_{2}$$ in medium 2 will be :
$$\left(\right.$$ Given $$\mathrm{c}=3...

JEE Main 2022 (Online) 28th July Morning Shift

In normal adujstment, for a refracting telescope, the distance between objective and eye piece is $$30 \mathrm{~cm}$$. The focal length of the objecti...

JEE Main 2022 (Online) 27th July Morning Shift

A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For a light whose wavelength in air is...

JEE Main 2022 (Online) 26th July Evening Shift

Light travels in two media $$M_{1}$$ and $$M_{2}$$ with speeds $$1.5 \times 10^{8} \mathrm{~ms}^{-1}$$ and $$2.0 \times 10^{8} \mathrm{~ms}^{-1}$$ res...

JEE Main 2022 (Online) 25th July Evening Shift

For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass ...

JEE Main 2022 (Online) 25th July Morning Shift

Which of the following statement is correct?

JEE Main 2022 (Online) 25th July Morning Shift

Time taken by light to travel in two different materials $$A$$ and $$B$$ of refractive indices $$\mu_{A}$$ and $$\mu_{B}$$ of same thickness is $$t_{1...

JEE Main 2022 (Online) 29th June Evening Shift

The speed of light in media 'A' and 'B' are $$2.0 \times {10^{10}}$$ cm/s and $$1.5 \times {10^{10}}$$ cm/s respectively. A ray of light enters from t...

JEE Main 2022 (Online) 28th June Morning Shift

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

JEE Main 2022 (Online) 28th June Morning Shift

The aperture of the objective is 24.4 cm. The resolving power of this telescope, if a light of wavelength 2440 $$\mathop A\limits^o $$ is used to see ...

JEE Main 2022 (Online) 27th June Evening Shift

A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpen...

JEE Main 2022 (Online) 27th June Morning Shift

Consider a light ray travelling in air is incident into a medium of refractive index $$\sqrt{2n}$$. The incident angle is twice that of refracting ang...

JEE Main 2022 (Online) 25th June Morning Shift

A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating medium with air. The angle of...

JEE Main 2022 (Online) 25th June Morning Shift

The difference of speed of light in the two media A and B (vA $$-$$ vB) is 2.6 $$\times$$ 107 m/s. If the refractive index of medium B is 1.47, then t...

JEE Main 2021 (Online) 1st September Evening Shift

A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($$\mu$$ = 4/3) into it while looking at the surface ...

JEE Main 2021 (Online) 31st August Morning Shift

An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the image from the optical centre of...

JEE Main 2021 (Online) 31st August Morning Shift

Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter away from M1 and M2 respectivel...

JEE Main 2021 (Online) 27th August Evening Shift

Curved surfaces of a plano-convex lens of refractive index $$\mu$$1 and a plano-concave lens of refractive index $$\mu$$2 have equal radius of curvatu...

JEE Main 2021 (Online) 27th August Morning Shift

An object is placed beyond the centre of curvature C of the given concave mirror. If the distance of the object is d1 from C and the distance of the i...

JEE Main 2021 (Online) 27th August Morning Shift

Find the distance of the image from object O, formed by the combination of lenses in the figure :...

JEE Main 2021 (Online) 26th August Morning Shift

Car B overtakes another car A at a relative speed of 40 ms$$-$$1. How fast will the image of car B appear to move in the mirror of focal length 10 cm ...

JEE Main 2021 (Online) 27th July Evening Shift

The expected graphical representation of the variation of angle of deviation '$$\delta$$' with angle of incidence 'i' in a prism is :

JEE Main 2021 (Online) 25th July Evening Shift

A prism of refractive index $$\mu$$ and angle of prism A is placed in the position of minimum angle of deviation. If minimum angle of deviation is als...

JEE Main 2021 (Online) 25th July Evening Shift

A ray of light entering from air into a denser medium of refractive index $${4 \over 3}$$, as shown in figure. The light ray suffers total internal re...

JEE Main 2021 (Online) 25th July Morning Shift

A ray of laser of a wavelength 630 nm is incident at an angle of 30$$^\circ$$ at the diamond-air interface. It is going from diamond to air. The refra...

JEE Main 2021 (Online) 22th July Evening Shift

A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 90$$^\circ$...

JEE Main 2021 (Online) 20th July Morning Shift

Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region I at a distance of 40 cm from the surface. The dista...

JEE Main 2021 (Online) 18th March Evening Shift

Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as shown in the figure.The refract...

JEE Main 2021 (Online) 18th March Morning Shift

Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and distort...

JEE Main 2021 (Online) 17th March Morning Shift

The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the material of the lens is 2 $$\times$$...

JEE Main 2021 (Online) 16th March Evening Shift

The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed in a medium of same refractive index? Ass...

JEE Main 2021 (Online) 16th March Evening Shift

Red light differs from blue light as they have :

JEE Main 2021 (Online) 16th March Morning Shift

The angle of deviation through a prism is minimum when(A) Incident ray and emergent ray are symmetric to the prism.(B) The refracted ray inside the pr...

JEE Main 2021 (Online) 26th February Evening Shift

The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\ove...

JEE Main 2021 (Online) 26th February Evening Shift

Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.Assertion A : For a simple microscope, the angular...

JEE Main 2021 (Online) 26th February Morning Shift

A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absolute value | f | = 40 cm. The i...

JEE Main 2021 (Online) 24th February Morning Shift

The focal length f is related to the radius of curvature r of the spherical convex mirror by :

JEE Main 2020 (Online) 6th September Evening Slot

A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of
curvature of a surface of a plano-convex lens made ...

JEE Main 2020 (Online) 6th September Morning Slot

A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A
plane mirror is placed at a distance of 2 m behi...

JEE Main 2020 (Online) 5th September Morning Slot

For a concave lens of focal length f, the relation
between object and image distances u and v,
respectively, from its pole can best be
represented by ...

JEE Main 2020 (Online) 2nd September Morning Slot

A spherical mirror is obtained as shown in the
figure from a hollow glass sphere. If an object
is positioned in front of the mirror, what will be
the...

JEE Main 2020 (Online) 9th January Evening Slot

There is a small source of light at some depth
below the surface of water (refractive
index = $${4 \over 3}$$) in a tank of large cross sectional
surf...

JEE Main 2020 (Online) 9th January Morning Slot

A vessel of depth 2h is half filled with a liquid
of refractive index $$2\sqrt 2 $$ and the upper half with
another liquid of refractive index $$\sqrt...

JEE Main 2020 (Online) 9th January Morning Slot

The aperture diameter of a telescope is 5m. The
separation between the moon and the earth is
4 × 105 km. With light of wavelength of
5500 $$\mathop A\...

JEE Main 2020 (Online) 8th January Evening Slot

An object is gradually moving away from the
focal point of a concave mirror along the axis
of the mirror. The graphical representation of
the magnitud...

JEE Main 2020 (Online) 8th January Morning Slot

The magnifying power of a telescope with tube
60 cm is 5. What is the focal length of its eye
piece ?

JEE Main 2020 (Online) 8th January Morning Slot

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $${4 \over 3}$$ for this...

JEE Main 2020 (Online) 7th January Evening Slot

A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid
of refractive index 1.42. If its focal length in ...

JEE Main 2020 (Online) 7th January Morning Slot

If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm, the focal length of the eye-...

JEE Main 2019 (Online) 12th April Evening Slot

A transparent cube of side, made of a material of refractive index $$\mu $$2, is immersed in a liquid of refractive
index $$\mu $$1($$\mu $$1 < $$\...

JEE Main 2019 (Online) 12th April Morning Slot

A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5
cm (see figure). If a small particle i...

JEE Main 2019 (Online) 10th April Evening Slot

The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used?
...

JEE Main 2019 (Online) 10th April Morning Slot

One plano-convex and one plano-concave lens
of same radius of curvature 'R' but of different
materials are joined side by side as shown in
the figure....

JEE Main 2019 (Online) 10th April Morning Slot

A ray of light AO in vacuum is incident on a
glass slab at angle 60° and refracted at angle 30°
along OB as shown in the figure. The optical path
leng...

JEE Main 2019 (Online) 9th April Evening Slot

A thin convex lens L (refractive index = 1.5)
is placed on a plane mirror M. When a pin is
placed at A, such that OA = 18 cm, its real
inverted image ...

JEE Main 2019 (Online) 9th April Evening Slot

A convex lens of focal length 20 cm produces
images of the same magnification 2 when an
object is kept at two distances x1 and x2
(x1 > x2) from th...

JEE Main 2019 (Online) 9th April Morning Slot

A concave mirror for face viewing has focal
length of 0.4 m. The distance at which you hold
the mirror from your face in order to see your
image uprig...

JEE Main 2019 (Online) 8th April Evening Slot

A convex lens (of focal length 20 cm) and a
concave mirror, having their principal axes
along the same lines, are kept 80 cm apart from
each other. Th...

JEE Main 2019 (Online) 8th April Morning Slot

An upright object is placed at a distance of
40 cm in front of a convergent lens of focal
length 20 cm. A convergent mirror of focal
length 10 cm is p...

JEE Main 2019 (Online) 8th April Morning Slot

In figure, the optical fiber is $$l$$ = 2m long and
has a diameter of d = 20 μm. If a ray of light
is incident on one end of the fiber at angle
$$\the...

JEE Main 2019 (Online) 12th January Evening Slot

A plano-convex lens (focal length f2, refractive index $$\mu $$2, radius of curvature R) fits exactly into a plano-concave lens (focal length f1, refr...

JEE Main 2019 (Online) 12th January Evening Slot

Formation of real image using a biconvex lens is shown below :
If the whole set up is immersed in water without disturbing the object and the screen ...

JEE Main 2019 (Online) 12th January Morning Slot

A point source of light, S is placed at distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walk...

JEE Main 2019 (Online) 12th January Morning Slot

What is the position and nature of image formed by lens combination shown in figure ? (f1, f2 are focal lengths)
...

JEE Main 2019 (Online) 11th January Evening Slot

A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the ...

JEE Main 2019 (Online) 11th January Morning Slot

An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the ...

JEE Main 2019 (Online) 11th January Morning Slot

The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the cor...

JEE Main 2019 (Online) 10th January Evening Slot

The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of cornea (7.8 mm). This surface sepa...

JEE Main 2019 (Online) 10th January Morning Slot

A plano convex lens of refractive index $$\mu $$1 and focal length ƒ1 is kept in contact with another plano concave lens of refractive index $$\mu $$2...

JEE Main 2019 (Online) 9th January Evening Slot

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to the second mirror (M2) is fina...

JEE Main 2019 (Online) 9th January Morning Slot

A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a glass block (refractive index 1...

JEE Main 2018 (Online) 16th April Morning Slot

A ray of light is incident at an angle of 60o on one face of a prism of angle 30o. The emergent ray of light makes an angle of 30o with incident ray....

JEE Main 2018 (Online) 15th April Evening Slot

A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of 10 cm. The separation between the two lens...

JEE Main 2018 (Online) 15th April Morning Slot

A planoconvex lens becomes an optical system of $$28$$ $$cm$$ focal length when its plane surface is silvered and illuminated from left to right as sh...

JEE Main 2018 (Online) 15th April Morning Slot

A particle is oscillating on the $$X$$-axis with an amplitude $$2$$ $$cm$$ about the point $${x_0} = 10\,cm,$$ with a frequency $$\omega $$. A concave...

JEE Main 2017 (Online) 9th April Morning Slot

In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it...

JEE Main 2017 (Online) 8th April Morning Slot

Let the refractive index of a denser medium with respect to a rarer medium be n12 and its critical angle be θC . At an angle of incidence A when light...

JEE Main 2017 (Offline)

A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15cm from a converging
lens of magnitude of focal length 20cm. A beam...

JEE Main 2016 (Online) 10th April Morning Slot

To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are :

JEE Main 2016 (Online) 10th April Morning Slot

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surfa...

JEE Main 2016 (Online) 9th April Morning Slot

To find the focal length of a convex mirror, a student records the following data :
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{font-fam...

JEE Main 2016 (Online) 9th April Morning Slot

A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and aplane mirror are arranged as shown. For an object kept at a distance...

JEE Main 2016 (Offline)

In an experiment for determination of refractive index of glass of a prism by $$i - \delta ,$$ plot it was found thata ray incident at angle $${35^ \c...

JEE Main 2016 (Offline)

An observer looks at a distant tree of height $$10$$ $$m$$ with a telescope of magnifying power of $$20.$$ To the observer the tree appears:

JEE Main 2015 (Offline)

Monochromatic light is incident on a glass prism of angle $$A$$. If the refractive index of the material of the prism is $$\mu $$, a ray, incident at ...

JEE Main 2014 (Offline)

A thin convex lens made from crown glass $$\left( {\mu = {3 \over 2}} \right)$$ has focal length $$f$$. When it is measured in two different liquids ...

JEE Main 2014 (Offline)

A green light is incident from the water to the air - water interface at the critical angle $$\left( \theta \right)$$. Select the correct statement.

JEE Main 2013 (Offline)

Diameter of a plano-convex lens is $$6$$ $$cm$$ and thickness at the center is $$3mm$$. If speed of light in material of lens is $$2 \times {10^8}\,m/...

JEE Main 2013 (Offline)

The graph between angle of deviation $$\left( \delta \right)$$ and angle of incidence $$(i)$$ for a triangular prism is represented by

AIEEE 2012

An object $$2.4$$ $$m$$ in front of a lens forms a sharp image on a film $$12$$ $$cm$$ behind the lens. A glass plate $$1$$ $$cm$$ thick, of refracti...

AIEEE 2011

Let $$x$$-$$z$$ plane be the boundary between two transparent media. Medium $$1$$ in $$z \ge 0$$ has a refractive index of $$\sqrt 2 $$ and medium $$2...

AIEEE 2011

A car is fitted with a convex side-view mirror of focal length $$20$$ $$cm$$. A second car $$2.8m$$ behind the first car is overtaking the first car a...

AIEEE 2010

An initially parallel cylindrical beam travels in a medium of refractive index $$\mu \left( I \right) = {\mu _0} + {\mu _2}\,I,$$ where $${\mu _0}$$ a...

AIEEE 2010

An initially parallel cylindrical beam travels in a medium of refractive index $$\mu \left( I \right) = {\mu _0} + {\mu _2}\,I,$$ where $${\mu _0}$$ a...

AIEEE 2009

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is ad...

AIEEE 2009

A transparent solid cylindrical rod has a refractive index of $${2 \over {\sqrt 3 }}.$$ It is surrounded by air. A light ray is incident at the mid-po...

AIEEE 2008

A student measures the focal length of a convex lens by putting an object pin at a distance $$'u'$$ from the lens and measuring the distance $$'v'$$ o...

AIEEE 2007

Two lenses of power $$-15$$ $$D$$ and $$+5$$ $$D$$ are in contact with each other. The focal length of the combination is

AIEEE 2006

The refractive index of a glass is $$1.520$$ for red light and $$1.525$$ for blue light. Let $${D_1}$$ and $${D_2}$$ be angles of minimum deviation fo...

AIEEE 2005

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is $${4 \over 3}$$ and th...

AIEEE 2005

A thin glass (refractive index $$1.5$$) lens has optical power of $$-5$$ $$D$$ in air. Its optical power in a liquid medium with refractive index $$1....

AIEEE 2004

A plano convex lens of refractive index $$1.5$$ and radius of curvature $$30$$ $$cm$$. Is silvered at the curved surface. Now this lens has been used ...

AIEEE 2004

A light ray is incident perpendicularly to one face of a $${90^ \circ }$$ prism and is totally internally reflected at the glass-air interface. If the...

AIEEE 2003

To get three images of a single object, one should have two plane mirrors at an angle of

AIEEE 2003

The image formed by an objective of a compound microscope is

AIEEE 2002

An astronomical telescope has a large aperture to

AIEEE 2002

If two mirrors are kept at $${60^ \circ }$$ to each other, then the number of images formed by them is

AIEEE 2002

Wavelength of light used in an optical instrument are $${\lambda _1} = 4000\mathop A\limits^ \circ $$ and $${\lambda _2} = 5000\mathop A\limits^ \ci...

AIEEE 2002

Which of the following is used in optical fibres?

## Numerical

JEE Main 2024 (Online) 6th April Morning Shift

The refractive index of prism is $$\mu=\sqrt{3}$$ and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of ...

JEE Main 2024 (Online) 4th April Evening Shift

A light ray is incident on a glass slab of thickness $$4 \sqrt{3} \mathrm{~cm}$$ and refractive index $$\sqrt{2}$$ The angle of incidence is equal to ...

JEE Main 2024 (Online) 1st February Morning Shift

The distance between object and its 3 times magnified virtual image as produced by a convex lens is $20 \mathrm{~cm}$. The focal length of the lens us...

JEE Main 2024 (Online) 31st January Evening Shift

Light from a point source in air falls on a convex curved surface of radius $$20 \mathrm{~cm}$$ and refractive index 1.5. If the source is located at ...

JEE Main 2024 (Online) 30th January Evening Shift

In an experiment to measure the focal length $$(f)$$ of a convex lens, the magnitude of object distance $$(x)$$ and the image distance $$(y)$$ are mea...

JEE Main 2024 (Online) 30th January Morning Shift

The distance between object and its two times magnified real image as produced by a convex lens is $$45 \mathrm{~cm}$$. The focal length of the lens u...

JEE Main 2024 (Online) 27th January Morning Shift

Two immiscible liquids of refractive indices $$\frac{8}{5}$$ and $$\frac{3}{2}$$ respectively are put in a beaker as shown in the figure. The height o...

JEE Main 2023 (Online) 15th April Morning Shift

The refractive index of a transparent liquid filled in an equilateral hollow prism is $\sqrt{2}$. The angle of minimum deviation for the liquid will b...

JEE Main 2023 (Online) 13th April Evening Shift

A bi convex lens of focal length $$10 \mathrm{~cm}$$ is cut in two identical parts along a plane perpendicular to the principal axis. The power of eac...

JEE Main 2023 (Online) 13th April Morning Shift

A fish rising vertically upward with a uniform velocity of $$8 \mathrm{~ms}^{-1}$$, observes that a bird is diving vertically downward towards the fis...

JEE Main 2023 (Online) 12th April Morning Shift

Two convex lenses of focal length $$20 \mathrm{~cm}$$ each are placed coaxially with a separation of $$60 \mathrm{~cm}$$ between them. The image of th...

JEE Main 2023 (Online) 11th April Evening Shift

As shown in the figure, a plane mirror is fixed at a height of $$50 \mathrm{~cm}$$ from the bottom of tank containing water $$\left(\mu=\frac{4}{3}\ri...

JEE Main 2023 (Online) 11th April Morning Shift

The radius of curvature of each surface of a convex lens having refractive index 1.8 is $$20 \mathrm{~cm}$$. The lens is now immersed in a liquid of r...

JEE Main 2023 (Online) 10th April Evening Shift

A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses $$\mathrm{L}_{1}$$ and $$\mathrm{L}_{2}$$ with focal length $$24 ...

JEE Main 2023 (Online) 8th April Evening Shift

Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature $$30 \mathrm{~cm}$$...

JEE Main 2023 (Online) 8th April Morning Shift

Two vertical parallel mirrors A and B are separated by $$10 \mathrm{~cm}$$. A point object $$\mathrm{O}$$ is placed at a distance of $$2 \mathrm{~cm}$...

JEE Main 2023 (Online) 6th April Morning Shift

A pole is vertically submerged in swimming pool, such that it gives a length of shadow $$2.15 \mathrm{~m}$$ within water when sunlight is incident at ...

JEE Main 2023 (Online) 1st February Morning Shift

A thin cylindrical rod of length $$10 \mathrm{~cm}$$ is placed horizontally on the principle axis of a concave mirror of focal length $$20 \mathrm{~cm...

JEE Main 2023 (Online) 30th January Morning Shift

In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $$40 \mathrm{~cm}$$ from the pole of the ...

JEE Main 2023 (Online) 29th January Evening Shift

In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of th...

JEE Main 2023 (Online) 25th January Evening Shift

An object is placed on the principal axis of convex lens of focal length 10cm as shown. A plane mirror is placed on the other side of lens at a distan...

JEE Main 2023 (Online) 25th January Morning Shift

A ray of light is incident from air on a glass plate having thickness $$\sqrt3$$ cm and refractive index $$\sqrt2$$. The angle of incidence of a ray i...

JEE Main 2023 (Online) 24th January Evening Shift

A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of the lens will be ___________ cm...

JEE Main 2023 (Online) 24th January Morning Shift

As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The rad...

JEE Main 2022 (Online) 29th July Morning Shift

The X-Y plane be taken as the boundary between two transparent media $$\mathrm{M}_{1}$$ and $$\mathrm{M}_{2}$$. $$\mathrm{M}_{1}$$ in $$Z \geqslant 0$...

JEE Main 2022 (Online) 28th July Evening Shift

An object 'O' is placed at a distance of $$100 \mathrm{~cm}$$ in front of a concave mirror of radius of curvature $$200 \mathrm{~cm}$$ as shown in the...

JEE Main 2022 (Online) 28th July Evening Shift

In an experiment with a convex lens, The plot of the image distance $$\left(v^{\prime}\right)$$ against the object distance ($$\left.\mu^{\prime}\righ...

JEE Main 2022 (Online) 27th July Evening Shift

A thin prism of angle $$6^{\circ}$$ and refractive index for yellow light $$\left(\mathrm{n}_{\mathrm{Y}}\right) 1.5$$ is combined with another prism ...

JEE Main 2022 (Online) 26th July Evening Shift

In the given figure, the face $$A C$$ of the equilateral prism is immersed in a liquid of refractive index '$$n$$'. For incident angle $$60^{\circ}$$ ...

JEE Main 2022 (Online) 26th July Morning Shift

The graph between $$\frac{1}{u}$$ and $$\frac{1}{v}$$ for a thin convex lens in order to determine its focal length is plotted as shown in the figure....

JEE Main 2022 (Online) 25th July Evening Shift

A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and...

JEE Main 2022 (Online) 30th June Morning Shift

The refractive index of an equilateral prism is $$\sqrt 2 $$. The angle of emergence under minimum deviation position of prism, in degree, is ________...

JEE Main 2022 (Online) 29th June Morning Shift

A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5. The distance from the centre ...

JEE Main 2022 (Online) 26th June Evening Shift

A small bulb is placed at the bottom of a tank containing water to a depth of $$\sqrt7$$ m. The refractive index of water is $${4 \over 3}$$. The area...

JEE Main 2022 (Online) 26th June Morning Shift

A light ray is incident, at an incident angle $$\theta$$1, on the system of tow plane mirrors M1 and M2 having an inclination angle 75$$^\circ$$ betwe...

JEE Main 2022 (Online) 24th June Evening Shift

A ray of light is incident at an angle of incidence 60$$^\circ$$ on the glass slab of refractive index $$\sqrt3$$. After refraction, the light ray eme...

JEE Main 2022 (Online) 24th June Morning Shift

Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled...

JEE Main 2021 (Online) 31st August Evening Shift

Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using this prism when the angle of inci...

JEE Main 2021 (Online) 26th August Evening Shift

An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8 cm as shown ...

JEE Main 2021 (Online) 27th July Morning Shift

A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1 and n2 depend on $$\lambda$$, ...

JEE Main 2021 (Online) 22th July Evening Shift

A ray of light passing through a prism ($$\mu$$ = $$\sqrt 3 $$) suffers minimum deviation. It is found that the angle of incidence is double the angle...

JEE Main 2021 (Online) 20th July Morning Shift

An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an unresolved image. A resolved image is ...

JEE Main 2021 (Online) 17th March Evening Shift

The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at $$...

JEE Main 2021 (Online) 16th March Evening Shift

A deviation of 2$$^\circ$$ is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of ...

JEE Main 2021 (Online) 26th February Evening Shift

A point source of light S, placed at a distance 60cm in front of the centre of a plane mirror of width 50 cm, hangs vertically on a wall. A man walks...

JEE Main 2021 (Online) 25th February Morning Shift

The same size images are formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. The focal length of convex lens is ____...

JEE Main 2020 (Online) 5th September Evening Slot

A prism of angle A = 1o has a refractive index
$$\mu $$ = 1.5. A good estimate for the minimum angle
of deviation (in degrees) is close to $${N \over ...

JEE Main 2020 (Online) 5th September Morning Slot

A compound microscope consists of an
objective lens of focal length 1 cm and an
eyepiece of focal length 5 cm with a separation
of 10 cm.
The distance...

JEE Main 2020 (Online) 4th September Evening Slot

The distance between an object and a screen is 100 cm. A lens can produce real image of the
object on the screen for two different positions between t...

JEE Main 2020 (Online) 4th September Morning Slot

In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the
eye-piece. The focal length of its objective lens is 1...

JEE Main 2020 (Online) 3rd September Evening Slot

When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a
distance of 10 cm from the mirror. If the object is move...

JEE Main 2020 (Online) 3rd September Morning Slot

An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of
15 cm from the bottom (see figure). The hole is a...

JEE Main 2020 (Online) 2nd September Evening Slot

A light ray enters a solid glass sphere of
refractive index $$\mu $$ = $$\sqrt 3 $$ at an angle of incidence
60o. The ray is both reflected and refrac...

JEE Main 2020 (Online) 8th January Morning Slot

A point object in air is in front of the curved
surface of a plano-convex lens. The radius of
curvature of the curved surface is 30 cm and
the refract...