Ray Optics · JEE Main previous year questions

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2023 27 questions

Q352023 · 13 Apr 2023 · Shift 1
A vessel of depth ' $d$ ' is half filled with oil of refractive index $n_{1}$ and the other half is filled with water of refractive index $n_{2}$ . The apparent depth of this vessel when viewed from above will be-
1. A. $\frac{2 d ( n _{1} + n _{2} )}{n _{1} n _{2}}$
2. B. $\frac{d ( n _{1} + n _{2} )}{2 n _{1} n _{2}}$
3. C. $\frac{d n _{1} n _{2}}{2 ( n _{1} + n _{2} )}$
4. D. $\frac{d n _{1} n _{2}}{( n _{1} + n _{2} )}$
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Answer: B
Q522023 · 13 Apr 2023 · Shift 1· Numerical answer
A fish rising vertically upward with a uniform velocity of $8 ms^{- 1}$ , observes that a bird is diving vertically downward towards the fish with the velocity of $12 ms^{- 1}$ . If the refractive index of water is $\frac{4}{3}$ , then the actual velocity of the diving bird to pick the fish, will be _________ $ms^{- 1}$ .
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Answer: 3
Q592023 · 13 Apr 2023 · Shift 2· Numerical answer
A bi convex lens of focal length $10 cm$ is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is ___________ D.
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Answer: 5
Q562023 · 12 Apr 2023 · Shift 1· Numerical answer
Two convex lenses of focal length $20 cm$ each are placed coaxially with a separation of $60 cm$ between them. The image of the distant object formed by the combination is at _________ $cm$ from the first lens.
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Answer: 100
Q332023 · 11 Apr 2023 · Shift 1
The critical angle for a denser-rarer interface is $4 5^{\circ}$ . The speed of light in rarer medium is $3 \times 1 0^{8} m/s$ . The speed of light in the denser medium is:
1. A. $2.12 \times 1 0^{8} m/s$
2. B. $5 \times 1 0^{7} m/s$
3. C. $2 \times 1 0^{8} m/s$
4. D. $3.12 \times 1 0^{7} m/s$
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Answer: A
Q582023 · 11 Apr 2023 · Shift 1· Numerical answer
The radius of curvature of each surface of a convex lens having refractive index 1.8 is $20 cm$ . The lens is now immersed in a liquid of refractive index 1.5. The ratio of power of lens in air to its power in the liquid will be $x : 1$ . The value of $x$ is _________.
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Answer: 4
Q372023 · 11 Apr 2023 · Shift 2
When one light ray is reflected from a plane mirror with $3 0^{\circ}$ angle of reflection, the angle of deviation of the ray after reflection is :
1. A. $14 0^{\circ}$
2. B. $13 0^{\circ}$
3. C. $12 0^{\circ}$
4. D. $11 0^{\circ}$
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Answer: C
Q512023 · 11 Apr 2023 · Shift 2· Numerical answer
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Answer: 98
Q412023 · 10 Apr 2023 · Shift 1
An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by 4 cm towards the stationary object. The distance by which the position of image would be shifted, will be
1. A.4 cm towards mirror
2. B.2 cm towards mirror
3. C.8 cm away from mirror
4. D.8 cm towards mirror
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Answer: D
Q592023 · 10 Apr 2023 · Shift 2· Numerical answer
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Answer: 34
Q322023 · 8 Apr 2023 · Shift 1
In a reflecting telescope, a secondary mirror is used to:
1. A.make chromatic aberration zero
2. B.remove spherical aberration
3. C.reduce the problem of mechanical support
4. D.move the eyepiece outside the telescopic tube
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Answer: D
Q572023 · 8 Apr 2023 · Shift 1· Numerical answer
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Answer: 18
Q522023 · 8 Apr 2023 · Shift 2· Numerical answer
Two transparent media having refractive indices $1.0$ and $1.5$ are separated by a spherical refracting surface of radius of curvature $30 cm$ . The centre of curvature of surface is towards denser medium and a point object is placed on the principal axis in rarer medium at a distance of $15 cm$ from the pole of the surface. The distance of image from the pole of the surface is ____ $cm$ .
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Answer: 30
Q402023 · 6 Apr 2023 · Shift 1
A monochromatic light wave with wavelength $λ_{1}$ and frequency $v_{1}$ in air enters another medium. If the angle of incidence and angle of refraction at the interface are $4 5^{\circ}$ and $3 0^{\circ}$ respectively, then the wavelength $λ_{2}$ and frequency $v_{2}$ of the refracted wave are:
1. A. $λ_{2} = λ_{1}, v_{2} = \frac{1}{2} v_{1}$
2. B. $λ_{2} = λ_{1}, v_{2} = 2 v_{1}$
3. C. $λ_{2} = 2 λ_{1}, v_{2} = v_{1}$
4. D. $λ_{2} = \frac{1}{2} λ_{1}, v_{2} = v_{1}$
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Answer: D
Q322023 · 6 Apr 2023 · Shift 2
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The phase difference of two light waves changes if they travel through different media having same thickness, but different indices of refraction. Reason R: The wavelengths of waves are different in different media. In the light of the above statements, choose the most appropriate answer from the options given below
1. A.Both A and R are correct but R is NOT the correct explanation of A
2. B.A is correct but R is not correct
3. C.A is not correct but R is correct
4. D.Both A and R are correct and R is the correct explanation of A
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Answer: D
Q542023 · 1 Feb 2023 · Shift 1· Numerical answer
A thin cylindrical rod of length $10 cm$ is placed horizontally on the principal axis of a concave mirror of focal length $20 cm$ . The rod is placed in such a way that mid point of the rod is at $40 cm$ from the pole of mirror. The length of the image formed by the mirror will be $\frac{x}{3} cm$ . The value of $x$ is ________.
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Answer: 32
Q432023 · 31 Jan 2023 · Shift 2
A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then the microscope has to be raised by $30 cm$ to focus the object again. The height of the liquid in the bucket is :
1. A. $50 cm$
2. B. $18 cm$
3. C. $75 cm$
4. D. $12 cm$
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Answer: C
Q522023 · 30 Jan 2023 · Shift 1· Numerical answer
In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $40 cm$ from the pole of the mirror is formed at distance $120 cm$ from the pole of the mirror. These distances are measured with a modified scale in which there are 20 small divisions in $1 cm$ . The value of error in measurement of focal length of the mirror is $\frac{1}{K} cm$ . The value of K is __________.
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Answer: 32
Q592023 · 30 Jan 2023 · Shift 1· Numerical answer
A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of $24 W$ . The radius of curvature of hemisphere is $10 cm$ and the inner surface is completely reflecting. The force on the hemisphere due to the light falling on it is _________ $\times 1 0^{- 8} N$ .
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Answer: 4
Q372023 · 29 Jan 2023 · Shift 2
A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option)
1. A.Decrease the focal length of the eye piece.
2. B.Increase the wavelength of the light
3. C.Increase the refractive index of the medium between the object and objective lens
4. D.Decrease the diameter of the objective lens
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Answer: C
Q542023 · 25 Jan 2023 · Shift 1· Numerical answer
A ray of light is incident from air on a glass plate having thickness $3$ cm and refractive index $2$ . The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ____ $\times 1 0^{- 2}$ cm. (given $sin 1 5^{\circ} = 0.26$ )
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Answer: 52
Q312023 · 25 Jan 2023 · Shift 2
The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer is :- A. Real B. Erect C. Smaller in size than object D. Laterally inverted Choose the most appropriate answer from the options given below :
1. A.B and D only
2. B.A, C, and D only
3. C.A and D only
4. D.B and C only
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Answer: A
Q532023 · 25 Jan 2023 · Shift 2· Numerical answer
An object is placed on the principal axis of convex lens of focal length 10cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. The image produced by the plane mirror is 5cm inside the mirror. The distance of the object from the lens is ____ cm.
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Answer: 30
Q332023 · 24 Jan 2023 · Shift 1
Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is $θ_{B}$ , then the Brewster's angle for the light propagating from glass to air is $\frac{π}{2} - θ_{B}$ Statement II : The Brewster's angle for the light propagating from glass to air is $tan^{- 1} (μ_{g})$ where $μ_{g}$ is the refractive index of glass. In the light of the above statements, choose the correct answer from the options given below :
1. A.Both Statement I and Statement II are false
2. B.Both Statement I and Statement II are true
3. C.Statement I is false but Statement II is true
4. D.Statement I is true but Statement II is false
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Answer: D
Q562023 · 24 Jan 2023 · Shift 1· Numerical answer
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Answer: 120