Ray Optics · JEE Main previous year questions

2024 21 questions

1. Q402024 · 9 Apr 2024 · Shift 1

   Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. Statement (II) : Concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below :

   1. A.Statement I is false but Statement II is true
   2. B.Both Statement I and Statement II are false
   3. C.Both Statement I and Statement II are true
   4. D.Statement I is true but Statement II is false
   Show answer

   Answer: A

2. Q502024 · 9 Apr 2024 · Shift 2
   
   1. A.$25\mathrm{cm}$
   2. B.$35\mathrm{cm}$
   3. C.$10\mathrm{cm}$
   4. D.$15\mathrm{cm}$
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   Answer: A

3. Q342024 · 8 Apr 2024 · Shift 1

   Average force exerted on a non-reflecting surface at normal incidence is $2.4\times 10^{-4}\text{ N}$. If $360{\text{ W/cm}}^2$ is the light energy flux during span of 1 hour 30 minutes, then the area of the surface is:

   1. A.$20{\text{ m}}^2$
   2. B.$0.2{\text{ m}}^2$
   3. C.$0.1{\text{ m}}^2$
   4. D.$0.02{\text{ m}}^2$
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   Answer: D

4. Q452024 · 8 Apr 2024 · Shift 1

   Critical angle of incidence for a pair of optical media is $45^{\circ }$. The refractive indices of first and second media are in the ratio:

   1. A.$1:2$
   2. B.$1:\sqrt{2}$
   3. C.$2:1$
   4. D.$\sqrt{2}:1$
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   Answer: D

5. Q332024 · 8 Apr 2024 · Shift 2
   
   1. A.$15\mathrm{cm}$ (right of second lens)
   2. B.$30\mathrm{cm}$ (right of third lens)
   3. C.$30\mathrm{cm}$ (left of third lens)
   4. D.$15\mathrm{cm}$ (left of second lens)
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   Answer: B

6. Q422024 · 6 Apr 2024 · Shift 2

   For the thin convex lens, the radii of curvature are at $15\mathrm{cm}$ and $30\mathrm{cm}$ respectively. The focal length of the lens is $20\mathrm{cm}$. The refractive index of the material is :

   1. A.1.2
   2. B.1.5
   3. C.1.4
   4. D.1.8
   Show answer

   Answer: B

7. Q402024 · 5 Apr 2024 · Shift 2

   Given below are two statements : Statement I : When the white light passed through a prism, the red light bends lesser than yellow and violet. Statement II : The refractive indices are different for different wavelengths in dispersive medium. 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 true
   2. B.Statement I is true but Statement II is false
   3. C.Statement I is false but Statement II is true
   4. D.Both Statement I and Statement II are false
   Show answer

   Answer: A

8. Q342024 · 4 Apr 2024 · Shift 1

   An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is $25\mathrm{D}$. Focal length of each of the convex lens is:

   1. A.$50\mathrm{cm}$
   2. B.$20\mathrm{cm}$
   3. C.$25\mathrm{cm}$
   4. D.$500\mathrm{cm}$
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   Answer: B

9. Q572024 · 4 Apr 2024 · Shift 2· Numerical answer

   A light ray is incident on a glass slab of thickness $4\sqrt{3}\text{ cm}$ and refractive index $\sqrt{2}$ The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ________ $\text{cm}$. (Given $\sin 15^{\circ }=0.25$)

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   Answer: 2

10. Q572024 · 1 Feb 2024 · Shift 1· Numerical answer

    The distance between object and its 3 times magnified virtual image as produced by a convex lens is $20\mathrm{cm}$. The focal length of the lens used is ____ $\mathrm{cm}$.

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    Answer: 15

11. Q402024 · 31 Jan 2024 · Shift 1

    The refractive index of a prism with apex angle $A$ is $\cot A/2$. The angle of minimum deviation is :

    1. A.${\delta }_m=180^{\circ }-3\mathrm{A}$
    2. B.${\delta }_m=180^{\circ }-4A$
    3. C.${\delta }_m=180^{\circ }-2A$
    4. D.${\delta }_m=180^{\circ }-A$
    Show answer

    Answer: C

12. Q562024 · 31 Jan 2024 · Shift 2· Numerical answer

    Light from a point source in air falls on a convex curved surface of radius $20\mathrm{cm}$ and refractive index 1.5. If the source is located at $100\mathrm{cm}$ from the convex surface, the image will be formed at ____ $\mathrm{cm}$ from the object.

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    Answer: 200

13. Q352024 · 30 Jan 2024 · Shift 1

    The diffraction pattern of a light of wavelength $400\text{ nm}$ diffracting from a slit of width $0.2\text{ mm}$ is focused on the focal plane of a convex lens of focal length $100\text{ cm}$. The width of the $1^{\text{st}}$ secondary maxima will be :

    1. A.$2\text{ mm}$
    2. B.$0.2\text{ mm}$
    3. C.$0.02\text{ mm}$
    4. D.$2\text{ cm}$
    Show answer

    Answer: A

14. Q552024 · 30 Jan 2024 · Shift 1· Numerical answer

    The distance between object and its two times magnified real image as produced by a convex lens is $45\text{ cm}$. The focal length of the lens used is _________ cm.

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    Answer: 10

15. Q332024 · 29 Jan 2024 · Shift 1

    A convex mirror of radius of curvature $30\text{ cm}$ forms an image that is half the size of the object. The object distance is :

    1. A.$-45\text{ cm}$
    2. B.$-15\text{ cm}$
    3. C.$45\text{ cm}$
    4. D.$15\text{ cm}$
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    Answer: B

16. Q402024 · 29 Jan 2024 · Shift 1

    A biconvex lens of refractive index $1.5$ has a focal length of $20\text{ cm}$ in air. Its focal length when immersed in a liquid of refractive index $1.6$ will be:

    1. A.$-16\text{ cm}$
    2. B.$+16\text{ cm}$
    3. C.$+160\text{ cm}$
    4. D.$-160\text{ cm}$
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    Answer: D

17. Q412024 · 29 Jan 2024 · Shift 2

    If the distance between object and its two times magnified virtual image produced by a curved mirror is $15\text{ cm}$, the focal length of the mirror must be:

    1. A.$-10\text{ cm}$
    2. B.$-12\text{ cm}$
    3. C.$15\text{ cm}$
    4. D.$10/3\text{ cm}$
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    Answer: A

18. Q332024 · 27 Jan 2024 · Shift 1

    If the refractive index of the material of a prism is $\cot \left(\frac{A}{2}\right)$, where $A$ is the angle of prism then the angle of minimum deviation will be

    1. A.$\pi -2A$
    2. B.$\frac{\pi }{2}-2A$
    3. C.$\pi -A$
    4. D.$\frac{\pi }{2}-A$
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    Answer: A

19. Q442024 · 27 Jan 2024 · Shift 1

    A convex lens of focal length $40\text{ cm}$ forms an image of an extended source of light on a photoelectric cell. A current I is produced. The lens is replaced by another convex lens having the same diameter but focal length $20\text{ cm}$. The photoelectric current now is :

    1. A.$\frac{I}{2}$
    2. B.$4\text{ I}$
    3. C.$2\text{ I}$
    4. D.$I$
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    Answer: D

20. Q542024 · 27 Jan 2024 · Shift 1· Numerical answer
    
    Show answer

    Answer: 31

21. Q462024 · 27 Jan 2024 · Shift 2

    An object is placed in a medium of refractive index $3$ . An electromagnetic wave of intensity $6\times 10^8{\text{ W/m}}^2$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would be (speed of light in free space $=3\times 10^8\text{ m/s}$ ) :

    1. A.$6{\text{ Nm}}^{-2}$
    2. B.$36{\text{ Nm}}^{-2}$
    3. C.$18{\text{ Nm}}^{-2}$
    4. D.$2{\text{ Nm}}^{-2}$
    Show answer

    Answer: A