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JEE Main Previous Year Questions (2025): Ray Optics and Optical Instruments

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JEE Main Previous Year Questions 
(2025): Ray Optics and Optical 
Instruments 
Q1: The driver sitting inside a parked car is watching vehicles approaching from behind 
with the help of his side view mirror, which is a convex mirror with radius of curvature 
?? = ?? ?? . Another car approaches him from behind with a uniform speed of 
???? ???? /???? . When the car is at a distance of 24 m from him, the magnitude of the 
acceleration of the image of the car in the side view mirror is ' ?? '. The value of ?????? ?? 
is _ _ _ _ ?? /?? ?? . 
JEE Main 2025 (Online) 22nd January Morning Shift 
Ans: 8 
Solution: 
Given, R = 2 m, So, f = 1 m (as ?? =
?? 2
 ) 
?? 0
= 90 km / hr = 90 ×
1000
3600
= 25 m / s 
?? 0
 is uniform, so ?? 0
= 0 
?? = - 24 ?? 
 
 
 
1
?? +
1
?? =
1
?? 
?
1
?? +
1
- 24
=
1
1
?
1
?? = 1 +
1
24
=
25
24
 
? ?? =
24
25
?? 
?? =
- ?? ?? 
by differentiating mirror formula, 
Page 2


JEE Main Previous Year Questions 
(2025): Ray Optics and Optical 
Instruments 
Q1: The driver sitting inside a parked car is watching vehicles approaching from behind 
with the help of his side view mirror, which is a convex mirror with radius of curvature 
?? = ?? ?? . Another car approaches him from behind with a uniform speed of 
???? ???? /???? . When the car is at a distance of 24 m from him, the magnitude of the 
acceleration of the image of the car in the side view mirror is ' ?? '. The value of ?????? ?? 
is _ _ _ _ ?? /?? ?? . 
JEE Main 2025 (Online) 22nd January Morning Shift 
Ans: 8 
Solution: 
Given, R = 2 m, So, f = 1 m (as ?? =
?? 2
 ) 
?? 0
= 90 km / hr = 90 ×
1000
3600
= 25 m / s 
?? 0
 is uniform, so ?? 0
= 0 
?? = - 24 ?? 
 
 
 
1
?? +
1
?? =
1
?? 
?
1
?? +
1
- 24
=
1
1
?
1
?? = 1 +
1
24
=
25
24
 
? ?? =
24
25
?? 
?? =
- ?? ?? 
by differentiating mirror formula, 
-
1
?? 2
????
????
-
1
?? 2
????
????
= 0 
? -
1
?? 2
?? ?? -
1
?? 2
?? 0
= 0 ( 1 ) 
? ?? ?? =
- ?? 2
?? 2
?? 0
= -
24
2
25
2
 
? ?? ?? =
- 1
25
 m / s 
by differentiating (1) w.r.t. time, 
- 1
?? 2
?? ?? +
2
?? 3
?? ?? 2
-
1
?? 2
?? 0
+
2
?? 3
?? 0
2
= 0 
?? ?? =
2
?? ?? ?? 2
+
2 ?? 2
?? 3
?? 0
2
 
=
2
24
1
25
2
+
2
- 24
3
24
2
25
2
25
2
 
=
1
12
[
1
25
- 1 ] =
1
12
×
- 24
25
= -
2
25
 
? 100 ?? ?? =
- 2
25
× 100 = 8 m / s
2
 
Q2: Two light beams fall on a transparent material block at point 1 and 2 with angle 
?? ?? and ?? ?? , respectively, as shown in figure. After refraction, the beams intersect at 
point 3 which is exactly on the interface at other end of the block. Given : the distance 
between 1 and ?? , ?? = ?? v ?? ???? and ?? ?? = ?? ?? = ?? ?? ?? - ?? ? (
?? ?? ?? ?? ?? ). where refractive index of 
the block ?? ?? > refractive index of the outside medium ?? ?? , then the thickness of the 
block is _ _ _ _ cm . 
 
JEE Main 2025 (Online) 29th January Morning Shift 
Ans: 6 
Solution: 
 
Page 3


JEE Main Previous Year Questions 
(2025): Ray Optics and Optical 
Instruments 
Q1: The driver sitting inside a parked car is watching vehicles approaching from behind 
with the help of his side view mirror, which is a convex mirror with radius of curvature 
?? = ?? ?? . Another car approaches him from behind with a uniform speed of 
???? ???? /???? . When the car is at a distance of 24 m from him, the magnitude of the 
acceleration of the image of the car in the side view mirror is ' ?? '. The value of ?????? ?? 
is _ _ _ _ ?? /?? ?? . 
JEE Main 2025 (Online) 22nd January Morning Shift 
Ans: 8 
Solution: 
Given, R = 2 m, So, f = 1 m (as ?? =
?? 2
 ) 
?? 0
= 90 km / hr = 90 ×
1000
3600
= 25 m / s 
?? 0
 is uniform, so ?? 0
= 0 
?? = - 24 ?? 
 
 
 
1
?? +
1
?? =
1
?? 
?
1
?? +
1
- 24
=
1
1
?
1
?? = 1 +
1
24
=
25
24
 
? ?? =
24
25
?? 
?? =
- ?? ?? 
by differentiating mirror formula, 
-
1
?? 2
????
????
-
1
?? 2
????
????
= 0 
? -
1
?? 2
?? ?? -
1
?? 2
?? 0
= 0 ( 1 ) 
? ?? ?? =
- ?? 2
?? 2
?? 0
= -
24
2
25
2
 
? ?? ?? =
- 1
25
 m / s 
by differentiating (1) w.r.t. time, 
- 1
?? 2
?? ?? +
2
?? 3
?? ?? 2
-
1
?? 2
?? 0
+
2
?? 3
?? 0
2
= 0 
?? ?? =
2
?? ?? ?? 2
+
2 ?? 2
?? 3
?? 0
2
 
=
2
24
1
25
2
+
2
- 24
3
24
2
25
2
25
2
 
=
1
12
[
1
25
- 1 ] =
1
12
×
- 24
25
= -
2
25
 
? 100 ?? ?? =
- 2
25
× 100 = 8 m / s
2
 
Q2: Two light beams fall on a transparent material block at point 1 and 2 with angle 
?? ?? and ?? ?? , respectively, as shown in figure. After refraction, the beams intersect at 
point 3 which is exactly on the interface at other end of the block. Given : the distance 
between 1 and ?? , ?? = ?? v ?? ???? and ?? ?? = ?? ?? = ?? ?? ?? - ?? ? (
?? ?? ?? ?? ?? ). where refractive index of 
the block ?? ?? > refractive index of the outside medium ?? ?? , then the thickness of the 
block is _ _ _ _ cm . 
 
JEE Main 2025 (Online) 29th January Morning Shift 
Ans: 6 
Solution: 
 
 
 
n
1
s i n ? ( 90 - ?? 1
) = n
2
sin ? ?? 3
 
n
1
c o s ? ?? 1
= n
2
sin ? ?? 3
 
n
1
n
2
2 n
1
= n
2
sin ? ?? 3
 
1
2
= sin ? ?? 3
, ?? 3
= 30 
tan ? 30 =
d
2 ( t )
 
t =
d v 3
2
=
4 v 3 × v 3
2
 cm = 6 cm 
Q3: A ray of light suffers minimum deviation when incident on a prism having angle of 
the prism equal to ????
°
. The refractive index of the prism material is v ?? . The angle of 
incidence (in degrees) is _ _ _ _ 
JEE Main 2025 (Online) 2nd April Evening Shift 
Ans: 45 
Solution: 
To find the angle of incidence when a ray of light experiences minimum deviation in a prism, we 
use the formula for the refractive index ?? : 
?? =
sin ? (
?? + ?? ?? 2
)
sin ? (
?? 2
)
 
Given: 
The angle of the prism, ?? = 60
°
 
The refractive index of the prism material, ?? = v 2 
Minimum deviation, ?? ?? = 30
°
 
At minimum deviation, the angle of incidence ?? equals the angle of emergence ?? . Therefore, the 
Page 4


JEE Main Previous Year Questions 
(2025): Ray Optics and Optical 
Instruments 
Q1: The driver sitting inside a parked car is watching vehicles approaching from behind 
with the help of his side view mirror, which is a convex mirror with radius of curvature 
?? = ?? ?? . Another car approaches him from behind with a uniform speed of 
???? ???? /???? . When the car is at a distance of 24 m from him, the magnitude of the 
acceleration of the image of the car in the side view mirror is ' ?? '. The value of ?????? ?? 
is _ _ _ _ ?? /?? ?? . 
JEE Main 2025 (Online) 22nd January Morning Shift 
Ans: 8 
Solution: 
Given, R = 2 m, So, f = 1 m (as ?? =
?? 2
 ) 
?? 0
= 90 km / hr = 90 ×
1000
3600
= 25 m / s 
?? 0
 is uniform, so ?? 0
= 0 
?? = - 24 ?? 
 
 
 
1
?? +
1
?? =
1
?? 
?
1
?? +
1
- 24
=
1
1
?
1
?? = 1 +
1
24
=
25
24
 
? ?? =
24
25
?? 
?? =
- ?? ?? 
by differentiating mirror formula, 
-
1
?? 2
????
????
-
1
?? 2
????
????
= 0 
? -
1
?? 2
?? ?? -
1
?? 2
?? 0
= 0 ( 1 ) 
? ?? ?? =
- ?? 2
?? 2
?? 0
= -
24
2
25
2
 
? ?? ?? =
- 1
25
 m / s 
by differentiating (1) w.r.t. time, 
- 1
?? 2
?? ?? +
2
?? 3
?? ?? 2
-
1
?? 2
?? 0
+
2
?? 3
?? 0
2
= 0 
?? ?? =
2
?? ?? ?? 2
+
2 ?? 2
?? 3
?? 0
2
 
=
2
24
1
25
2
+
2
- 24
3
24
2
25
2
25
2
 
=
1
12
[
1
25
- 1 ] =
1
12
×
- 24
25
= -
2
25
 
? 100 ?? ?? =
- 2
25
× 100 = 8 m / s
2
 
Q2: Two light beams fall on a transparent material block at point 1 and 2 with angle 
?? ?? and ?? ?? , respectively, as shown in figure. After refraction, the beams intersect at 
point 3 which is exactly on the interface at other end of the block. Given : the distance 
between 1 and ?? , ?? = ?? v ?? ???? and ?? ?? = ?? ?? = ?? ?? ?? - ?? ? (
?? ?? ?? ?? ?? ). where refractive index of 
the block ?? ?? > refractive index of the outside medium ?? ?? , then the thickness of the 
block is _ _ _ _ cm . 
 
JEE Main 2025 (Online) 29th January Morning Shift 
Ans: 6 
Solution: 
 
 
 
n
1
s i n ? ( 90 - ?? 1
) = n
2
sin ? ?? 3
 
n
1
c o s ? ?? 1
= n
2
sin ? ?? 3
 
n
1
n
2
2 n
1
= n
2
sin ? ?? 3
 
1
2
= sin ? ?? 3
, ?? 3
= 30 
tan ? 30 =
d
2 ( t )
 
t =
d v 3
2
=
4 v 3 × v 3
2
 cm = 6 cm 
Q3: A ray of light suffers minimum deviation when incident on a prism having angle of 
the prism equal to ????
°
. The refractive index of the prism material is v ?? . The angle of 
incidence (in degrees) is _ _ _ _ 
JEE Main 2025 (Online) 2nd April Evening Shift 
Ans: 45 
Solution: 
To find the angle of incidence when a ray of light experiences minimum deviation in a prism, we 
use the formula for the refractive index ?? : 
?? =
sin ? (
?? + ?? ?? 2
)
sin ? (
?? 2
)
 
Given: 
The angle of the prism, ?? = 60
°
 
The refractive index of the prism material, ?? = v 2 
Minimum deviation, ?? ?? = 30
°
 
At minimum deviation, the angle of incidence ?? equals the angle of emergence ?? . Therefore, the 
relation between the angle of minimum deviation and the angle of the prism is represented as: 
?? ?? = 2 ?? - ?? 
Solving for ?? : 
?? ?? = 2 ?? - ?? ? 30
°
= 2 ?? - 60
°
? 2 ?? = 90
°
? ?? = 45
°
 
Q4: Light from a point source in air falls on a spherical glass surface (refractive index, 
?? = ?? . ?? and radius of curvature = ???? ???? ). The image is formed at a distance of 200 
cm from the glass surface inside the glass. The magnitude of distance of the light 
source from the glass surface is _ _ _ _ m. 
JEE Main 2025 (Online) 3rd April Evening Shift 
Ans: 4 
Solution: 
 
 
 
?? 2
v
-
?? 1
u
=
?? 2
- ?? 1
R
 
1 . 5
200
-
1
- x
=
1 . 5 - 1
50
 
1
x
=
1
100
-
3
400
 
x = 400 cm 
x = 4 m 
Q5: Distance between object and its image (magnified by -
?? ?? ) is ???? ???? . The focal 
length of the mirror used is (
?? ?? ) ???? ,where magnitude of 
value of ?? is _ _ _ _ . 
JEE Main 2025 (Online) 4th April Morning Shift 
Ans: 45 
Solution: 
?? = -
1
3
 
Page 5


JEE Main Previous Year Questions 
(2025): Ray Optics and Optical 
Instruments 
Q1: The driver sitting inside a parked car is watching vehicles approaching from behind 
with the help of his side view mirror, which is a convex mirror with radius of curvature 
?? = ?? ?? . Another car approaches him from behind with a uniform speed of 
???? ???? /???? . When the car is at a distance of 24 m from him, the magnitude of the 
acceleration of the image of the car in the side view mirror is ' ?? '. The value of ?????? ?? 
is _ _ _ _ ?? /?? ?? . 
JEE Main 2025 (Online) 22nd January Morning Shift 
Ans: 8 
Solution: 
Given, R = 2 m, So, f = 1 m (as ?? =
?? 2
 ) 
?? 0
= 90 km / hr = 90 ×
1000
3600
= 25 m / s 
?? 0
 is uniform, so ?? 0
= 0 
?? = - 24 ?? 
 
 
 
1
?? +
1
?? =
1
?? 
?
1
?? +
1
- 24
=
1
1
?
1
?? = 1 +
1
24
=
25
24
 
? ?? =
24
25
?? 
?? =
- ?? ?? 
by differentiating mirror formula, 
-
1
?? 2
????
????
-
1
?? 2
????
????
= 0 
? -
1
?? 2
?? ?? -
1
?? 2
?? 0
= 0 ( 1 ) 
? ?? ?? =
- ?? 2
?? 2
?? 0
= -
24
2
25
2
 
? ?? ?? =
- 1
25
 m / s 
by differentiating (1) w.r.t. time, 
- 1
?? 2
?? ?? +
2
?? 3
?? ?? 2
-
1
?? 2
?? 0
+
2
?? 3
?? 0
2
= 0 
?? ?? =
2
?? ?? ?? 2
+
2 ?? 2
?? 3
?? 0
2
 
=
2
24
1
25
2
+
2
- 24
3
24
2
25
2
25
2
 
=
1
12
[
1
25
- 1 ] =
1
12
×
- 24
25
= -
2
25
 
? 100 ?? ?? =
- 2
25
× 100 = 8 m / s
2
 
Q2: Two light beams fall on a transparent material block at point 1 and 2 with angle 
?? ?? and ?? ?? , respectively, as shown in figure. After refraction, the beams intersect at 
point 3 which is exactly on the interface at other end of the block. Given : the distance 
between 1 and ?? , ?? = ?? v ?? ???? and ?? ?? = ?? ?? = ?? ?? ?? - ?? ? (
?? ?? ?? ?? ?? ). where refractive index of 
the block ?? ?? > refractive index of the outside medium ?? ?? , then the thickness of the 
block is _ _ _ _ cm . 
 
JEE Main 2025 (Online) 29th January Morning Shift 
Ans: 6 
Solution: 
 
 
 
n
1
s i n ? ( 90 - ?? 1
) = n
2
sin ? ?? 3
 
n
1
c o s ? ?? 1
= n
2
sin ? ?? 3
 
n
1
n
2
2 n
1
= n
2
sin ? ?? 3
 
1
2
= sin ? ?? 3
, ?? 3
= 30 
tan ? 30 =
d
2 ( t )
 
t =
d v 3
2
=
4 v 3 × v 3
2
 cm = 6 cm 
Q3: A ray of light suffers minimum deviation when incident on a prism having angle of 
the prism equal to ????
°
. The refractive index of the prism material is v ?? . The angle of 
incidence (in degrees) is _ _ _ _ 
JEE Main 2025 (Online) 2nd April Evening Shift 
Ans: 45 
Solution: 
To find the angle of incidence when a ray of light experiences minimum deviation in a prism, we 
use the formula for the refractive index ?? : 
?? =
sin ? (
?? + ?? ?? 2
)
sin ? (
?? 2
)
 
Given: 
The angle of the prism, ?? = 60
°
 
The refractive index of the prism material, ?? = v 2 
Minimum deviation, ?? ?? = 30
°
 
At minimum deviation, the angle of incidence ?? equals the angle of emergence ?? . Therefore, the 
relation between the angle of minimum deviation and the angle of the prism is represented as: 
?? ?? = 2 ?? - ?? 
Solving for ?? : 
?? ?? = 2 ?? - ?? ? 30
°
= 2 ?? - 60
°
? 2 ?? = 90
°
? ?? = 45
°
 
Q4: Light from a point source in air falls on a spherical glass surface (refractive index, 
?? = ?? . ?? and radius of curvature = ???? ???? ). The image is formed at a distance of 200 
cm from the glass surface inside the glass. The magnitude of distance of the light 
source from the glass surface is _ _ _ _ m. 
JEE Main 2025 (Online) 3rd April Evening Shift 
Ans: 4 
Solution: 
 
 
 
?? 2
v
-
?? 1
u
=
?? 2
- ?? 1
R
 
1 . 5
200
-
1
- x
=
1 . 5 - 1
50
 
1
x
=
1
100
-
3
400
 
x = 400 cm 
x = 4 m 
Q5: Distance between object and its image (magnified by -
?? ?? ) is ???? ???? . The focal 
length of the mirror used is (
?? ?? ) ???? ,where magnitude of 
value of ?? is _ _ _ _ . 
JEE Main 2025 (Online) 4th April Morning Shift 
Ans: 45 
Solution: 
?? = -
1
3
 
-
- ?? - ?? =
- 1
3
? ?? =
?? 3
 
Distance b / w object and image : 
 
 
?? - ?? = 30
?? -
?? 3
= 30
? ? ?? = 45 ? ?? = 15
1
?? =
1
?? +
1
?? = -
1
15
-
1
45
? ? ?? =
45
4
?? = 45
 
Q6: A container contains a liquid with refractive index of ?? . ?? up to a height of 60 cm 
and another liquid having refractive index 1.6 is added to height H above first liquid. If 
viewed from above, the apparent shift in the position of bottom of container is 40 cm . 
The value of H is _ _ _ _ cm . (Consider liquids are immisible) 
JEE Main 2025 (Online) 7th April Morning Shift 
Ans: 80 
Solution: 
 
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FAQs on JEE Main Previous Year Questions (2025): Ray Optics and Optical Instruments

1. What is the principle of reflection in ray optics?
Ans.The principle of reflection states that when a ray of light strikes a reflective surface, the angle of incidence is equal to the angle of reflection. This means if a light ray hits a surface at an angle θ₁ (angle of incidence), it will reflect off at the same angle θ₂ (angle of reflection), measured from the normal (a line perpendicular to the surface at the point of incidence).
2. How do lenses form images and what are the types of lenses?
Ans.Lenses form images through the refraction of light. There are two main types of lenses: convex (converging) lenses, which bulge outward and cause parallel rays of light to converge at a focal point; and concave (diverging) lenses, which curve inward and cause parallel rays to diverge as if they originated from a focal point behind the lens. The nature of the image formed (real or virtual, upright or inverted) depends on the position of the object relative to the focal length of the lens.
3. What is the role of the human eye in optics and how does it function?
Ans.The human eye functions as a complex optical instrument that focuses light to create images. It contains several key components: the cornea, which refracts incoming light; the lens, which further adjusts the focus; and the retina, which detects light and converts it into electrical signals sent to the brain. The eye adjusts its focus through a process known as accommodation, where the lens changes shape to focus on objects at various distances.
4. What are the characteristics of images formed by concave and convex mirrors?
Ans.Images formed by concave mirrors can be real or virtual, depending on the object's position relative to the focal point. Real images are inverted and can be projected on a screen, while virtual images are upright and cannot be projected. In contrast, convex mirrors always produce virtual images that are upright and smaller than the object, regardless of the object's distance from the mirror.
5. How is total internal reflection utilized in optical fibers?
Ans.Total internal reflection is a phenomenon that occurs when a light ray traveling in a denser medium hits the boundary with a less dense medium at an angle greater than the critical angle. In optical fibers, light is guided through the fiber core by repeatedly undergoing total internal reflection at the core-cladding boundary, allowing for efficient transmission of light signals over long distances with minimal loss.
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