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2024 
 
Q1 - 2024 (01 Feb Shift 1) 
The distance between object and its 3 times magnified virtual image as produced by a 
convex lens is 20cm. The focal length of the lens used is ____ cm. 
Q2 - 2024 (27 Jan Shift 1) 
If the refractive index of the material of a prism is cot 
?? 2
 , where ?? is the angle of prism 
then the angle of minimum deviation will be 
(1) ?? - 2A 
(2) 
?? 2
- 2A 
(3) ?? - A 
(4) 
?? 2
- A 
Q3 - 2024 (27 Jan Shift 1) 
A convex lens of focal length 40cm forms an image of an extended source of light on a 
photoelectric cell. A current ?? is produced. The lens is replaced by another convex lens 
having the same diameter but focal length 20cm. The photoelectric current now is : 
(1) 
1
2
 
(2) 4 I 
(3) 2 I 
(4) I 
Q4 - 2024 (27 Jan Shift 1) 
Two immiscible liquids of refractive indices 
8
5
 and 
3
2
 respectively are put in a beaker as 
shown in the figure. The height of each column is 6cm. A coin is placed at the bottom of 
the beaker. For near normal vision, theapparent depth of the coin is 
?? 4
cm. The value of ?? 
is 
Page 2


 
 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
The distance between object and its 3 times magnified virtual image as produced by a 
convex lens is 20cm. The focal length of the lens used is ____ cm. 
Q2 - 2024 (27 Jan Shift 1) 
If the refractive index of the material of a prism is cot 
?? 2
 , where ?? is the angle of prism 
then the angle of minimum deviation will be 
(1) ?? - 2A 
(2) 
?? 2
- 2A 
(3) ?? - A 
(4) 
?? 2
- A 
Q3 - 2024 (27 Jan Shift 1) 
A convex lens of focal length 40cm forms an image of an extended source of light on a 
photoelectric cell. A current ?? is produced. The lens is replaced by another convex lens 
having the same diameter but focal length 20cm. The photoelectric current now is : 
(1) 
1
2
 
(2) 4 I 
(3) 2 I 
(4) I 
Q4 - 2024 (27 Jan Shift 1) 
Two immiscible liquids of refractive indices 
8
5
 and 
3
2
 respectively are put in a beaker as 
shown in the figure. The height of each column is 6cm. A coin is placed at the bottom of 
the beaker. For near normal vision, theapparent depth of the coin is 
?? 4
cm. The value of ?? 
is 
 
Q5 - 2024 (29 Jan Shift 1) 
A convex mirror of radius of curvature 30cm forms an image that is half the size of the 
object. The object distance is : 
(1) -15cm 
(2) 45cm 
(3) -45cm 
(4) 15cm 
Q6 - 2024 (29 Jan Shift 1) 
A biconvex lens of refractive index 1.5 has a focal length of 20cm in air. Its focal length 
when immersed in a liquid of refractive index 1.6 will be: 
(1) -16cm 
(2) -160cm 
(3) +160cm 
(4) +16cm 
Q7 - 2024 (29 Jan Shift 2) 
If the distance between object and its two times magnified virtual image produced by a 
curved mirror is 15cm, the focal length of the mirror must be : 
(1) 15cm 
Page 3


 
 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
The distance between object and its 3 times magnified virtual image as produced by a 
convex lens is 20cm. The focal length of the lens used is ____ cm. 
Q2 - 2024 (27 Jan Shift 1) 
If the refractive index of the material of a prism is cot 
?? 2
 , where ?? is the angle of prism 
then the angle of minimum deviation will be 
(1) ?? - 2A 
(2) 
?? 2
- 2A 
(3) ?? - A 
(4) 
?? 2
- A 
Q3 - 2024 (27 Jan Shift 1) 
A convex lens of focal length 40cm forms an image of an extended source of light on a 
photoelectric cell. A current ?? is produced. The lens is replaced by another convex lens 
having the same diameter but focal length 20cm. The photoelectric current now is : 
(1) 
1
2
 
(2) 4 I 
(3) 2 I 
(4) I 
Q4 - 2024 (27 Jan Shift 1) 
Two immiscible liquids of refractive indices 
8
5
 and 
3
2
 respectively are put in a beaker as 
shown in the figure. The height of each column is 6cm. A coin is placed at the bottom of 
the beaker. For near normal vision, theapparent depth of the coin is 
?? 4
cm. The value of ?? 
is 
 
Q5 - 2024 (29 Jan Shift 1) 
A convex mirror of radius of curvature 30cm forms an image that is half the size of the 
object. The object distance is : 
(1) -15cm 
(2) 45cm 
(3) -45cm 
(4) 15cm 
Q6 - 2024 (29 Jan Shift 1) 
A biconvex lens of refractive index 1.5 has a focal length of 20cm in air. Its focal length 
when immersed in a liquid of refractive index 1.6 will be: 
(1) -16cm 
(2) -160cm 
(3) +160cm 
(4) +16cm 
Q7 - 2024 (29 Jan Shift 2) 
If the distance between object and its two times magnified virtual image produced by a 
curved mirror is 15cm, the focal length of the mirror must be : 
(1) 15cm 
(2) -12cm 
(3) -10cm 
(4) 10/3cm 
Q8 - 2024 (30 Jan Shift 1) 
The distance between object and its two times magnified real image as produced by a 
convex lens is 45cm. 
The focal length of the lens used is __ cm. 
Q9 - 2024 (30 Jan Shift 2) 
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 measured with reference to the focal 
point of the lens. The ?? -?? plot is shown in figure. 
The focal length of the lens is __cm. 
 
Page 4


 
 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
The distance between object and its 3 times magnified virtual image as produced by a 
convex lens is 20cm. The focal length of the lens used is ____ cm. 
Q2 - 2024 (27 Jan Shift 1) 
If the refractive index of the material of a prism is cot 
?? 2
 , where ?? is the angle of prism 
then the angle of minimum deviation will be 
(1) ?? - 2A 
(2) 
?? 2
- 2A 
(3) ?? - A 
(4) 
?? 2
- A 
Q3 - 2024 (27 Jan Shift 1) 
A convex lens of focal length 40cm forms an image of an extended source of light on a 
photoelectric cell. A current ?? is produced. The lens is replaced by another convex lens 
having the same diameter but focal length 20cm. The photoelectric current now is : 
(1) 
1
2
 
(2) 4 I 
(3) 2 I 
(4) I 
Q4 - 2024 (27 Jan Shift 1) 
Two immiscible liquids of refractive indices 
8
5
 and 
3
2
 respectively are put in a beaker as 
shown in the figure. The height of each column is 6cm. A coin is placed at the bottom of 
the beaker. For near normal vision, theapparent depth of the coin is 
?? 4
cm. The value of ?? 
is 
 
Q5 - 2024 (29 Jan Shift 1) 
A convex mirror of radius of curvature 30cm forms an image that is half the size of the 
object. The object distance is : 
(1) -15cm 
(2) 45cm 
(3) -45cm 
(4) 15cm 
Q6 - 2024 (29 Jan Shift 1) 
A biconvex lens of refractive index 1.5 has a focal length of 20cm in air. Its focal length 
when immersed in a liquid of refractive index 1.6 will be: 
(1) -16cm 
(2) -160cm 
(3) +160cm 
(4) +16cm 
Q7 - 2024 (29 Jan Shift 2) 
If the distance between object and its two times magnified virtual image produced by a 
curved mirror is 15cm, the focal length of the mirror must be : 
(1) 15cm 
(2) -12cm 
(3) -10cm 
(4) 10/3cm 
Q8 - 2024 (30 Jan Shift 1) 
The distance between object and its two times magnified real image as produced by a 
convex lens is 45cm. 
The focal length of the lens used is __ cm. 
Q9 - 2024 (30 Jan Shift 2) 
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 measured with reference to the focal 
point of the lens. The ?? -?? plot is shown in figure. 
The focal length of the lens is __cm. 
 
Q10 - 2024 (31 Jan Shift 1) 
The refractive index of a prism with apex angle A is cotA/2. The angle of minimum 
deviation is : 
(1) ?? m
= 180
°
- A 
(2) ?? m
= 180
°
- 3A 
(3) ?? m
= 180
°
- 4A 
(4) ?? ?? = 180
°
- 2A 
 
Q11 - 2024 (31 Jan Shift 2) 
Light from a point source in air falls on a convex curved surface of radius 20cm and 
refractive index 1.5 . If the source is located at 100cm from the convex surface, the 
image will be formed at cm from the object. 
Answer Key 
Q1 (15)  
Q2 (1)  
Q3 (4)  
Q4 (31)  
Q5 (1)  
Q6 (2)  
Q7 (3)  
Q8 (10)  
Q9 (20)  
Q10 (4)  
Q11 (200) 
Solutions 
Q1 
Page 5


 
 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
The distance between object and its 3 times magnified virtual image as produced by a 
convex lens is 20cm. The focal length of the lens used is ____ cm. 
Q2 - 2024 (27 Jan Shift 1) 
If the refractive index of the material of a prism is cot 
?? 2
 , where ?? is the angle of prism 
then the angle of minimum deviation will be 
(1) ?? - 2A 
(2) 
?? 2
- 2A 
(3) ?? - A 
(4) 
?? 2
- A 
Q3 - 2024 (27 Jan Shift 1) 
A convex lens of focal length 40cm forms an image of an extended source of light on a 
photoelectric cell. A current ?? is produced. The lens is replaced by another convex lens 
having the same diameter but focal length 20cm. The photoelectric current now is : 
(1) 
1
2
 
(2) 4 I 
(3) 2 I 
(4) I 
Q4 - 2024 (27 Jan Shift 1) 
Two immiscible liquids of refractive indices 
8
5
 and 
3
2
 respectively are put in a beaker as 
shown in the figure. The height of each column is 6cm. A coin is placed at the bottom of 
the beaker. For near normal vision, theapparent depth of the coin is 
?? 4
cm. The value of ?? 
is 
 
Q5 - 2024 (29 Jan Shift 1) 
A convex mirror of radius of curvature 30cm forms an image that is half the size of the 
object. The object distance is : 
(1) -15cm 
(2) 45cm 
(3) -45cm 
(4) 15cm 
Q6 - 2024 (29 Jan Shift 1) 
A biconvex lens of refractive index 1.5 has a focal length of 20cm in air. Its focal length 
when immersed in a liquid of refractive index 1.6 will be: 
(1) -16cm 
(2) -160cm 
(3) +160cm 
(4) +16cm 
Q7 - 2024 (29 Jan Shift 2) 
If the distance between object and its two times magnified virtual image produced by a 
curved mirror is 15cm, the focal length of the mirror must be : 
(1) 15cm 
(2) -12cm 
(3) -10cm 
(4) 10/3cm 
Q8 - 2024 (30 Jan Shift 1) 
The distance between object and its two times magnified real image as produced by a 
convex lens is 45cm. 
The focal length of the lens used is __ cm. 
Q9 - 2024 (30 Jan Shift 2) 
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 measured with reference to the focal 
point of the lens. The ?? -?? plot is shown in figure. 
The focal length of the lens is __cm. 
 
Q10 - 2024 (31 Jan Shift 1) 
The refractive index of a prism with apex angle A is cotA/2. The angle of minimum 
deviation is : 
(1) ?? m
= 180
°
- A 
(2) ?? m
= 180
°
- 3A 
(3) ?? m
= 180
°
- 4A 
(4) ?? ?? = 180
°
- 2A 
 
Q11 - 2024 (31 Jan Shift 2) 
Light from a point source in air falls on a convex curved surface of radius 20cm and 
refractive index 1.5 . If the source is located at 100cm from the convex surface, the 
image will be formed at cm from the object. 
Answer Key 
Q1 (15)  
Q2 (1)  
Q3 (4)  
Q4 (31)  
Q5 (1)  
Q6 (2)  
Q7 (3)  
Q8 (10)  
Q9 (20)  
Q10 (4)  
Q11 (200) 
Solutions 
Q1 
 
?? = 3?? 
?? -?? = 20cm 
2?? = 20cm 
?? = 10cm 
1
(-30)
-
1
(-10)
=
1
?? 
?? = 15cm 
Q2 
cot
?? 2
=
sin 
?? +?? min
2
 
sin
?? 2
 
? cos
?? 2
= sin 
?? +?? min
2
  
?? +?? min
2
=
?? 2
-
?? 2
 
?? min 
= ?? - 2A 
Q3 
As amount of energy incident on cell is same so current will remain same. 
Q4 
h
upp
=
h
1
?? 1
+
h
2
?? 2
=
6
3/2
+
6
8/5
= 4 +
15
4
=
31
4
cm 
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FAQs on Ray & Wave Optics: JEE Mains Previous Year Questions (2021-2024) - Chapter-wise Tests for JEE Main & Advanced

1. What is the difference between ray optics and wave optics?
Ans. Ray optics deals with the behavior of light as rays, focusing on the laws of reflection and refraction, while wave optics treats light as a wave, considering phenomena such as interference, diffraction, and polarization.
2. How does a convex lens form an image?
Ans. A convex lens forms a real, inverted image when the object is beyond the focal point, a virtual, upright image when the object is within the focal point, and a magnified, virtual image when the object is between the lens and the focal point.
3. What is the principle of superposition in wave optics?
Ans. The principle of superposition states that when two or more waves overlap in a medium, the resultant displacement at any point is the algebraic sum of the individual displacements of the waves at that point.
4. How does the speed of light change when it travels from one medium to another?
Ans. The speed of light changes when it travels from one medium to another due to a change in the medium's refractive index, causing the light to bend or change direction at the interface between the two media.
5. What is the concept of total internal reflection?
Ans. Total internal reflection occurs when light traveling from a denser medium to a rarer medium at an angle greater than the critical angle reflects back into the denser medium instead of refracting, leading to the phenomenon of total reflection within the denser medium.
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