2021
JEE Mains
MCQ
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 image formed is d2 from C, the radius of curvature of this mirror is :
A.
${{2{d_1}{d_2}} \over {{d_1} - {d_2}}}$
B.
${{2{d_1}{d_2}} \over {{d_1} + {d_2}}}$
C.
${{{d_1}{d_2}} \over {{d_1} + {d_2}}}$
D.
${{{d_1}{d_2}} \over {{d_1} - {d_2}}}$
2021
JEE Mains
MCQ
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 :
A.
75 cm
B.
10 cm
C.
20 cm
D.
infinity
2021
JEE Mains
MCQ
JEE Main 2021 (Online) 26th August Morning Shift
Car B overtakes another car A at a relative speed of 40 ms$-$1. How fast will the image of car B appear to move in the mirror of focal length 10 cm fitted in car A, when the car B is 1.9 m away from the car A?
A.
4 ms$-$1
B.
0.2 ms$-$1
C.
40 ms$-$1
D.
0.1 ms$-$1
2021
JEE Mains
MCQ
JEE Main 2021 (Online) 27th July Evening Shift
The expected graphical representation of the variation of angle of deviation '$\delta$' with angle of incidence 'i' in a prism is :
A.
B.
C.
D.
2021
JEE Mains
MCQ
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 also A, then in terms of refractive index
A.
$2{\cos ^{ - 1}}\left( {{\mu \over 2}} \right)$
B.
${\sin ^{ - 1}}\left( {{\mu \over 2}} \right)$
C.
${\sin ^{ - 1}}\left( {\sqrt {{{\mu - 1} \over 2}} } \right)$
D.
${\cos ^{ - 1}}\left( {{\mu \over 2}} \right)$
2021
JEE Mains
MCQ
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 reflection at the adjacent surface as shown. The maximum value of angle $\theta$ should be equal to :
A.
${\sin ^{ - 1}}{{\sqrt 7 } \over 3}$
B.
${\sin ^{ - 1}}{{\sqrt 5 } \over 4}$
C.
${\sin ^{ - 1}}{{\sqrt 7 } \over 4}$
D.
${\sin ^{ - 1}}{{\sqrt 5 } \over 3}$
2021
JEE Mains
MCQ
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 refractive index of diamond is 2.42 and that of air is 1. Choose the correct option.
A.
angle of refraction is 24.41$^\circ$
B.
angle of refraction is 30$^\circ$
C.
refraction is not possible
D.
angle of refraction is 53.4$^\circ$
2021
JEE Mains
MCQ
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$^\circ$ with each other. The angle of reflection and refraction are respectively r and r'. The critical angle is given by
A.
sin$-$1 (tan r)
B.
sin$-$1 (cot r)
C.
sin$-$1 (tan r')
D.
tan$-$1 (sin i)
2021
JEE Mains
MCQ
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 distance of the image from the surface is :
A.
55.44 cm
B.
18.23 cm
C.
9.52 cm
D.
37.58 cm
2021
JEE Mains
MCQ
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 refractive indices of the material of the prism for red, green and blue wavelength are 1.27, 1.42 and 1.49 respectively. The colour of the ray(s) emerging out of the face PR is :
The refractive indices of the material of the prism for red, green and blue wavelength are 1.27, 1.42 and 1.49 respectively. The colour of the ray(s) emerging out of the face PR is :
A.
green
B.
blue and green
C.
blue
D.
red
2021
JEE Mains
MCQ
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 distorted. The doctor diagnosed the problem as :
A.
Astigmatism
B.
Myopia with Astigmatism
C.
Presbyopia with Astigmatism
D.
Myopia and Hypermetropia
2021
JEE Mains
MCQ
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 $\times$ 108 ms$-$1. The focal length of the lens is ____________.
A.
0.30 cm
B.
30 cm
C.
15 cm
D.
1.5 cm
2021
JEE Mains
MCQ
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? Assume the radii of curvature of the faces of lens are R1 and R2 respectively.
A.
Zero
B.
Infinite
C.
1
D.
${{{R_1}{R_2}} \over {{R_1} - {R_2}}}$
2021
JEE Mains
MCQ
JEE Main 2021 (Online) 16th March Evening Shift
Red light differs from blue light as they have :
A.
Different frequencies and same wavelengths
B.
Different frequencies and different wavelengths
C.
Same frequencies and different wavelengths
D.
Same frequencies and same wavelengths
2021
JEE Mains
MCQ
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 prism becomes parallel to its base
(C) Angle of incidence is equal to that of the angle of emergence
(D) When angle of emergence is double the angle of incidence
Choose the correct answer from the options given below :
(A) Incident ray and emergent ray are symmetric to the prism.
(B) The refracted ray inside the prism becomes parallel to its base
(C) Angle of incidence is equal to that of the angle of emergence
(D) When angle of emergence is double the angle of incidence
Choose the correct answer from the options given below :
A.
Statements (B) and (C) are true
B.
Only statements (A) and (B) are true
C.
Statements (A), (B) and (C) are true
D.
Only statement (D) is true
2021
JEE Mains
MCQ
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 $\overrightarrow c $ respectively. Then choose the correct relation for these vectors.
A.
$\overrightarrow b $ = $\overrightarrow a $ + 2$\overrightarrow c $
B.
$\overrightarrow b $ = $\overrightarrow a $ $-$ 2 ($\overrightarrow a $ . $\overrightarrow c $)$\overrightarrow c $
C.
$\overrightarrow b $ = 2$\overrightarrow a $ + $\overrightarrow c $
D.
$\overrightarrow b $ = $\overrightarrow a $ $-$ $\overrightarrow c $
2021
JEE Mains
MCQ
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 size of the object equals the angular size of the image.
Reason R : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle.
In the light of the above statements, choose the most appropriate answer from the options given below :
Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image.
Reason R : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle.
In the light of the above statements, choose the most appropriate answer from the options given below :
A.
A is true but R is false
B.
A is false but R is true
C.
Both A and R are true and R is the correct explanation of A
D.
Both A and R are true but R is NOT the correct explanation of A
2021
JEE Mains
MCQ
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 image of object produced by the mirror is of height 25 cm and has the same orientation of the object. One may conclude from the information :
A.
Image is real, same side of convex mirror.
B.
Image is virtual, opposite side of convex mirror.
C.
Image is virtual, opposite side of concave mirror.
D.
Image is real, same side of concave mirror.
2021
JEE Mains
MCQ
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 :
A.
f = r
B.
f = $-$ r
C.
f = +${{1 \over 2}}$ r
D.
f = $-$${{1 \over 2}}$ r
2020
JEE Mains
MCQ
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 of the same material with power 1.5 P is :
A.
${R \over 3}$
B.
${{3R} \over 2}$
C.
${R \over 2}$
D.
2R
2020
JEE Mains
MCQ
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 behind the lens. The position and nature of the final
image formed by the system is :
A.
2.6 m from the mirror, real
B.
1 m from the mirror, real
C.
2.6 m from the mirror, virtual
D.
1 m from the mirror, virtual
2020
JEE Mains
MCQ
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 (u = v is the reference line) :
A.
B.
C.
D.
2020
JEE Mains
MCQ
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 nature and magnification of the image of
the object? (Figure drawn as schematic and not to scale)
A.
Inverted, real and unmagnified
B.
Inverted, real and magnified
C.
Erect, virtual and magnified
D.
Erect, virtual and unmagnified
2020
JEE Mains
MCQ
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
surface area. Neglecting any reflection from the
bottom and absorption by water, percentage of
light that emerges out of surface is (nearly) :
[Use the fact that surface area of a spherical cap of height h and radius of curvature r is 2$\pi $rh]:
[Use the fact that surface area of a spherical cap of height h and radius of curvature r is 2$\pi $rh]:
A.
17%
B.
34%
C.
50%
D.
21%
2020
JEE Mains
MCQ
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\limits^o $, the minimum separation between
objects on the surface of moon, so that they are
just resolved, is close to :
A.
20 m
B.
200 m
C.
600 m
D.
60 m
2020
JEE Mains
MCQ
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 2 $ . The
liquids are immiscible. The apparent depth of
the inner surface of the bottom of vessel
will be :
A.
${h \over {\sqrt 2 }}$
B.
${h \over {3\sqrt 2 }}$
C.
${3 \over 4}h\sqrt 2 $
D.
${h \over {2\left( {\sqrt 2 + 1} \right)}}$
2020
JEE Mains
MCQ
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 magnitude of linear magnification (m)
versus distance of the object from the mirror
(x) is correctly given by :
(Graphs are drawn schematically and are not to scale)
(Graphs are drawn schematically and are not to scale)
A.
B.
C.
D.
2020
JEE Mains
MCQ
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 ?
A.
40 cm
B.
10 cm
C.
30 cm
D.
20 cm
2020
JEE Mains
MCQ
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 wavelength, will be :
A.
45°
B.
15°
C.
30°
D.
60°
2020
JEE Mains
MCQ
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 liquid is f1
, then the ratio ${{{f_1}} \over f}$ is closest to the
integer :
A.
17
B.
1
C.
9
D.
5
2020
JEE Mains
MCQ
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-piece, should be close to :
A.
22 mm
B.
12 mm
C.
33 mm
D.
2 mm
2019
JEE Mains
MCQ
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 < $\mu $2). A ray is incident on the face AB at an angle $\theta $(shown in the figure). Total internal
reflection takes place at point E on the face BC.
Then $\theta $ must satisfy :
Then $\theta $ must satisfy :
A.
$\theta > {\sin ^{ - 1}}\sqrt {{{\mu _2^2} \over {\mu _1^2}} - 1} $
B.
$\theta < {\sin ^{ - 1}}\sqrt {{{\mu _2^2} \over {\mu _1^2}} - 1} $
C.
$\theta < {\sin ^{ - 1}}{{{\mu _1}} \over {{\mu _2}}}$
D.
$\theta > {\sin ^{ - 1}}{{{\mu _1}} \over {{\mu _2}}}$
2019
JEE Mains
MCQ
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 is floating on the surface of water, its image as seen, from directly above
the glass, is at a distance d from the surface of water. The value of d is dose to: (Refractive index of water =
1.33)
A.
11.7 cm
B.
6.7 cm
C.
13.4 cm
D.
8.8 cm
2019
JEE Mains
MCQ
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?
A.
${{{b^2}} \over {ac}}$
B.
${{{b^2}c} \over a}$
C.
${a \over c}$
D.
${b \over c}$
2019
JEE Mains
MCQ
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. If the refractive index of the material
of 1 is $\mu $1 and that of 2 is $\mu $2, then the focal
length of the combination is :
A.
${2R \over { {{\mu _1} - {\mu _2}}}}$
B.
${R \over {2 - \left( {{\mu _1} - {\mu _2}} \right)}}$
C.
${R \over { {{\mu _1} - {\mu _2}}}}$
D.
${R \over {2 \left( {{\mu _1} - {\mu _2}} \right)}}$
2019
JEE Mains
MCQ
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
length of light ray from A to B is:
A.
2a + 2b/$\sqrt 3$
B.
2a + 2b/3
C.
2a + 2b
D.
2$\sqrt3$/a + 2b
2019
JEE Mains
MCQ
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 the lens. The ratio of x1 and x2
is :-
A.
3 : 1
B.
2 : 1
C.
5 : 3
D.
4 : 3
2019
JEE Mains
MCQ
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 is formed at A itself, as shown
in figure. When a liquid of refractive index μ1
is put between the lens and the mirror, The pin
has to be moved to A', such that OA' = 27 cm,
to get its inverted real image at A' itself. The
value of μ1 will be :-
A.
$\sqrt 3 $
B.
3 / 2
C.
$\sqrt 2 $
D.
4 / 3
2019
JEE Mains
MCQ
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 upright with a magnification of 5 is :
A.
0.24 m
B.
0.32 m
C.
1.60 m
D.
0.16 m
2019
JEE Mains
MCQ
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. The concave mirror is to the right
of the convex lens. When an object is kept at
a distance of 30 cm to the left of the convex
lens, its image remains at the same position
even if the concave mirror is removed. The
maximum distance of the object for which this
concave mirror, by itself would produce a
virtual image would be :-
A.
25 cm
B.
10 cm
C.
20 cm
D.
30 cm
2019
JEE Mains
MCQ
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
$\theta _1$ = 40°, the number of reflection it makes
before emerging from the other end is close to:
(refractive index of fibre is 1.31 and
sin 40° = 0.64)
A.
57000
B.
55000
C.
66000
D.
45000
2019
JEE Mains
MCQ
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 placed at a distance of 60 cm
on the other side of the lens. The position and
size of the final image will be :
A.
20 cm from the convergent mirror, same
size as the object
B.
40 cm from the convergent mirror, same
size as the object
C.
40 cm from the convergent lens, same
size as the object
D.
20 cm from the convergent mirror, twice the
size of the object
2019
JEE Mains
MCQ
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 positions, what will one observe on the screen ?
If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen ?
A.
Image disappears
B.
Magnified image
C.
Erect real image
D.
No change
2019
JEE Mains
MCQ
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, refractive index $\mu $1, radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be :
A.
f1 + f2
B.
f1 $-$ f2
C.
${R \over {{\mu _2} - {\mu _1}}}$
D.
${{2{f_1}{f_2}} \over {{f_1} + {f_2}}}$
2019
JEE Mains
MCQ
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 walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown below. The distance over which the man can see the image of the light source in the mirror is
A.
d
B.
d/2
C.
3d
D.
2d
2019
JEE Mains
MCQ
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)
A.
${{20} \over 3}$ cm from point B at right, real
B.
70 cm from point B at right ; real
C.
40 cm from point B at right; real
D.
70 cm from point B at left ; virtual
2019
JEE Mains
MCQ
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 material of the prism is $\sqrt 3 $, then the angle of incidence is:
A.
60o
B.
45o
C.
90o
D.
30o
2019
JEE Mains
MCQ
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 lens at a speed of 5 m/s, the speed and direction of the image will be :
A.
1.16 $ \times $ 10–3 m/s towards the lens
B.
2.26 $ \times $ 10–3 m/s away from the lens
C.
3.22 × 10–3 m/s towards the lens
D.
0.92 $ \times $ 10$-$3 m/s away from the lens
2019
JEE Mains
MCQ
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 correct one, if Dm is the angle of minimum deviation?
A.
B.
C.
D.
2019
JEE Mains
MCQ
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 separateds two media of refractive indices 1 and 1.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus -
A.
2 cm
B.
3.1 cm
C.
4.0 cm
D.
1 cm
