Page 1
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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