Ray Optics · JEE Main previous year questions

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2025 29 questions

Q272025 · 8 Apr 2025 · Shift 2
A convex lens of focal length $30 cm$ is placed in contact with a concave lens of focal length $20 cm$ . An object is placed at $20 cm$ to the left of this lens system. The distance of the image from the lens in $cm$ is .
1. A. $\frac{60}{7}$
2. B. $15$
3. C. $45$
4. D. $30$
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Answer: B
Q282025 · 8 Apr 2025 · Shift 2
A concave-convex lens of refractive index $1.5$ and the radii of curvature of its surfaces are $30 cm$ and $20 cm$ , respectively. The concave surface is upwards and is filled with a liquid of refractive index $1.3$ . The focal length of the liquid-glass combination will be
1. A. $\frac{700}{11} cm$
2. B. $\frac{600}{11} cm$
3. C. $\frac{800}{11} cm$
4. D. $\frac{500}{11} cm$
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Answer: B
Q362025 · 4 Apr 2025 · Shift 1
When an object is placed 40 cm away from a spherical mirror an image of magnification $\frac{1}{2}$ is produced. To obtain an image with magnification of $\frac{1}{3}$ , the object is to be moved :
1. A.20 cm away from the mirror.
2. B.20 cm towards the mirror.
3. C.80 cm away from the mirror.
4. D.40 cm away from the mirror.
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Answer: D
Q392025 · 4 Apr 2025 · Shift 1
A small mirror of mass $m$ is suspended by a massless thread of length $l$ . Then the small angle through which the thread will be deflected when a short pulse of laser of energy E falls normal on the mirror ( $c = speed of light in vacuum$ and $g = acceleration due to gravity$ )
1. A. $θ = \frac{E}{m c g l}$
2. B. $θ = \frac{E}{2 m c g l}$
3. C. $θ = \frac{3 E}{4 m c g l}$
4. D. $θ = \frac{2 E}{m c g l}$
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Answer: D
Q472025 · 4 Apr 2025 · Shift 1· Numerical answer
Distance between object and its image (magnified by $- \frac{1}{3}$ ) is 30 cm . The focal length of the mirror used is $(\frac{x}{4}) cm$ , where magnitude of value of $x$ is ____.
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Answer: 45
Q262025 · 4 Apr 2025 · Shift 2
A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm . A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each other. The distance between the two mirrors is :
1. A.45 cm
2. B.15 cm
3. C.22.5 cm
4. D.7.5 cm
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Answer: D
Q332025 · 3 Apr 2025 · Shift 1
Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism becomes parallel to the base. B. Larger angle prisms provide smaller angle of minimum deviation. C. Angle of incidence and angle of emergence becomes equal. D. There are always two sets of angle of incidence for which deviation will be same except at minimum deviation setting. E. Angle of refraction becomes double of prism angle. Choose the correct answer from the options given below :
1. A.A, B and E Only
2. B.B, C and D Only
3. C.B, D and E Only
4. D.A, C and D Only
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Answer: D
Q422025 · 3 Apr 2025 · Shift 1
The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm . The refractive index of the lens material is
1. A.1.4
2. B.1.8
3. C.1.5
4. D.1.2
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Answer: C
Q382025 · 3 Apr 2025 · Shift 2
A monochromatic light of frequency $5 \times 1 0^{14} Hz$ travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :
1. A. $400 nm$
2. B. $300 nm$
3. C. $600 nm$
4. D. $500 nm$
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Answer: B
Q472025 · 3 Apr 2025 · Shift 2· Numerical answer
Light from a point source in air falls on a spherical glass surface (refractive index, $μ = 1.5$ and radius of curvature $= 50 cm$ ). 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 __________ $m$ .
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Answer: 4
Q282025 · 2 Apr 2025 · Shift 1
1. A.0.24 m left to the spherical surface
2. B.0.24 m right to the spherical surface
3. C.0.4 m left to the spherical surface
4. D.0.4 m right to the spherical surface
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Answer: C
Q372025 · 2 Apr 2025 · Shift 1
1. A. $- α$
2. B. $- \frac{α}{2}$
3. C. $- 4 5^{\circ}$
4. D. $+ 4 5^{\circ}$
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Answer: C
Q322025 · 2 Apr 2025 · Shift 2
Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of $12 cm$ , at same distance of $18 cm$ from the respective mirrors. The ratio of sizes of the images formed by convex mirror and by concave mirror is :
1. A.2
2. B. $1/2$
3. C. $1/3$
4. D.3
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Answer: B
Q362025 · 2 Apr 2025 · Shift 2
A bi-convex lens has radius of curvature of both the surfaces same as $1/6 cm$ . If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides $(R_{1} \neq = R_{2})$ , without any change in lens power then possible combination of $R_{1}$ and $R_{2}$ is :
1. A. $\frac{1}{3} cm$ and $\frac{1}{7} cm$
2. B. $\frac{1}{5} cm$ and $\frac{1}{7} cm$
3. C. $\frac{1}{3} cm$ and $\frac{1}{3} cm$
4. D. $\frac{1}{6} cm$ and $\frac{1}{9} cm$
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Answer: B
Q462025 · 2 Apr 2025 · Shift 2· Numerical answer
A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to $6 0^{\circ}$ . The refractive index of the prism material is $2$ . The angle of incidence (in degrees) is ____.
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Answer: 45
Q342025 · 29 Jan 2025 · Shift 2
A convex lens made of glass (refractive index = 1.5) has focal length 24 cm in air. When it is totally immersed in water (refractive index = 1.33), its focal length changes to
1. A.96 cm
2. B.72 cm
3. C.24 cm
4. D.48 cm
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Answer: A
Q382025 · 29 Jan 2025 · Shift 2
1. A. $0.124 R$
2. B. $0.114 R$
3. C. $0.411 R$
4. D. $0.214 R$
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Answer: B
Q412025 · 29 Jan 2025 · Shift 2
1. A. $1 : 2$
2. B. $1 : 1$
3. C. $2 : 1$
4. D. $1 : 4$
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Answer: A
Q412025 · 28 Jan 2025 · Shift 1
A thin prism $P_{1}$ with angle $4^{\circ}$ made of glass having refractive index $1.54$ , is combined with another thin prism $P_{2}$ made of glass having refractive index $1.72$ to get dispersion without deviation. The angle of the prism $P_{2}$ in degrees is
1. A.1.5
2. B.16/3
3. C.3
4. D.4
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Answer: C
Q432025 · 28 Jan 2025 · Shift 1
1. A. $\frac{3}{2}$
2. B. $\frac{3}{2}$
3. C. $3$
4. D. $2$
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Answer: D
Q282025 · 24 Jan 2025 · Shift 1
What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre]
1. A.0.04
2. B.0.1
3. C.0.40
4. D.0.01
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Answer: A
Q392025 · 24 Jan 2025 · Shift 1
A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflection, the lens immersed in the liquid behaves like a concave mirror of focal length 0.2 m . The radius of curvature of the curved surface of the lens is
1. A.0.15 m
2. B.0.10 m
3. C.0.25 m
4. D.0.20 m
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Answer: B
Q402025 · 24 Jan 2025 · Shift 1
A plano-convex lens having radius of curvature of first surface $2 cm$ exhibits focal length of $f_{1}$ in air. Another plano-convex lens with first surface radius of curvature $3 cm$ has focal length of $f_{2}$ when it is immersed in a liquid of refractive index $1.2$ . If both the lenses are made of same glass of refractive index $1.5$ , the ratio of $f_{1}$ and $f_{2}$ will be
1. A. $2 : 3$
2. B. $1 : 3$
3. C. $1 : 2$
4. D. $3 : 5$
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Answer: B
Q432025 · 24 Jan 2025 · Shift 2
A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is $2 cm \times 2 cm$ and the area of the landscape photographed is $400 km^{2}$ . The focal length of the lens in the drone camera is :
1. A.2.8 cm
2. B.0.9 cm
3. C.2.5 cm
4. D.1.8 cm
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Answer: D
Q362025 · 23 Jan 2025 · Shift 2
A concave mirror of focal length $f$ in air is dipped in a liquid of refractive index $μ$ . Its focal length in the liquid will be:
1. A. $μ f$
2. B. $f$
3. C. $\frac{f}{μ}$
4. D. $\frac{f}{( μ - 1 )}$
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Answer: B