The speed of light in media ${M_1}$ and ${M_2}$ is $1.5\,\, \times \,\,{10^8}\,m/s$ and $2.0\,\, \times \,\,{10^8}\,\,{\rm{m}}/{\rm{s}}$ respectively. A ray of light enters from medium ${M_1}$ to ${M_2}$ at an incidence angle $i$. If the ray suffers total internal reflection, the value of $i$ is

Equal to ${\sin ^{ - 1}}\,\,\left( {\frac{2}{3}} \right)$

Equal to or less than ${\sin ^{ - 1}}\,\,\left( {\frac{3}{5}} \right)$

Less than ${\sin ^{ - 1}}\,\,\left( {\frac{2}{3}} \right)$

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JEE • PHYSICS • RAY OPTICS

Ray optics practice · Mixed difficulty

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Showing 1-30 of 468 questions

1 Medium

1 of 468

Understanding +4 | -1

In refraction, light waves are bent on passing from one medium to the second medium, because, in the second medium

View answer and explanation

Correct option: B

The speed is different

Option B (The speed is different) is correct because the change in speed of light causes the bending of light waves during refraction.

2 Medium

2 of 468

Application +4 | -1

A double convex lens is made of glass which has its refractive index 1,45 for violet rays and 1.50 for red rays. If the focal length for violet ray is

20 \mathrm{~cm}

, the focal length for red ray will be

View answer and explanation

Correct option: B

18 \mathrm{~cm}

Option D (

22 \mathrm{~cm}

) is correct because the focal length is inversely proportional to (refractive index - 1), and the refractive index for red rays is lower.

3 Medium

3 of 468

Understanding +4 | -1

Which light rays undergoes two internal reflection inside a raindrop, which of the rainbow is formed?

View answer and explanation

Correct option: B

Secondary rainbow

Option B (Secondary rainbow) is correct because secondary rainbows are formed by light rays undergoing two internal reflections inside a raindrop.

4 Medium

4 of 468

Understanding +4 | -1

A piece of plane glass is placed on a word with letters of different colours. The letters which appear minimum raised are

View answer and explanation

Correct option: A

Red

Option A is correct because red light has the lowest refractive index, causing it to appear the least raised.

5 Medium

5 of 468

Application +4 | -1

A dentist has a small mirror of focal length

16 {~mm}

. He views the cavity in the tooth of a patient by holding the mirror at a distance of

8 {~mm}

from the cavity. The magnification is

View answer and explanation

Correct option: A

Option A (2) is correct because the magnification is calculated using the formula m = f/(f-u) for a concave mirror, with f = -16 mm and u = -8 mm.

6 Medium

6 of 468

Understanding +4 | -1

All of the following statements are correct except

View answer and explanation

Correct option: D

A real, inverted, same-sized image can be formed using a convex mirror

Option D (A real, inverted, same-sized image can be formed using a convex mirror) is correct because convex mirrors always form virtual, erect, and diminished images.

7 Medium

7 of 468

Analyzing +4 | -1

An object is placed 21 cm in front of a concave mirror of radius of curvature 10 cm. A glass slab of thickness 3 cm and refractive index 3/2 is then placed close to the mirror the space between the object and the mirror. Distance of the near surface of the slab from the mirror is 1 cm. Find the position of the final image formed:-

View answer and explanation

Correct option: A

7.67 cm

Option A (7.67 cm) is correct because it accounts for the shift due to the glass slab and the reflection from the concave mirror.

8 Medium

8 of 468

Understanding +4 | -1

In order to increase the magnifying power of a compound microscope

View answer and explanation

Correct option: A

The focal lengths of the objective and the eye piece should be small

The correct answer is A (The focal lengths of the objective and the eye piece should be small) because the magnifying power of a compound microscope is inversely proportional to the focal lengths of both the objective and eyepiece.

9 Medium

9 of 468

Application +4 | -1

A prism has a refractive index

\sqrt{\frac{3}{2}}

and refracting angle

90^{\circ}

. Find the minimum deviation produced by prism.

View answer and explanation

Correct option: C

30^{\circ}

Option C (

30^{\circ}

) is correct because it is calculated using the prism formula and the given refractive index and refracting angle.

10 Medium

10 of 468

Analyzing +4 | -1

Assertion: In visible light

\mu_{\mathrm{r}}<\mu_{\mathrm{v}}

Reason: This follows from Cauchy's formula

\mu=A+\frac{B}{\lambda^2}+\frac{C}{\lambda^4}

View answer and explanation

Correct option: A

If both Assertion and Reason are true and the Reason is a correct explanation of the Assertion

Option A (If both Assertion and Reason are true and the Reason is a correct explanation of the Assertion) is correct because Cauchy's formula explains the wavelength dependence of the refractive index, leading to a higher refractive index for violet light compared to red light.

11 Easy

11 of 468

Understanding +4 | -1

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:

View answer and explanation

Correct option: A

Both Statement I and Statement II are true

Option A (Both Statement I and Statement II are true) is correct because red light bends less than yellow and violet, and refractive indices vary with wavelength in a dispersive medium.

12 Medium

12 of 468

Understanding +4 | -1

Assertion: Convex mirror always from a virtual image.

Reason: Focal length of a mirror is half of the radius of curvature.

View answer and explanation

Correct option: D

If Assertion is false but Reason is true.

Option D (If Assertion is false but Reason is true) is correct because convex mirrors can form real images with virtual objects, and the focal length is half the radius of curvature.

13 Medium

13 of 468

Application +4 | -1

The distance between an object and a screen is

320 {~cm}

. A lens produces an image on the screen when placed at either of the two positions

80 {~cm}

apart. The power of the lens (in

{D}

) is nearly:-

View answer and explanation

Correct option: B

1.33

Option B (1.33) is correct because it is the power of the lens calculated using the lens formula and the given object-screen distance and separation between lens positions.

14 Medium

14 of 468

Understanding +4 | -1

Which of the following is not the case with the image formed by a concave lens?

View answer and explanation

Correct option: D

Real image may be between the pole and focus or beyond focus

Option D is correct because a concave lens always forms a virtual, erect, and diminished image. Real images are not formed by a concave lens.

15 Medium

15 of 468

Understanding +4 | -1

A ray of light is passing from air into glass. If the angle of incidence, with respect to the normal to the interface, is increased –

View answer and explanation

Correct option: D

Angle of refraction angle will increase but there will be no total internal reflection

Option D is correct because light is traveling from a rarer to a denser medium, so total internal reflection cannot occur. The angle of refraction will increase with the angle of incidence.

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16 Medium

16 of 468

Understanding +4 | -1

A beam of light propagating in medium

A

with index of refraction

n\,\,\left( A \right)

passes across an interface into medium

B

with index of refraction

n\,\,\left( B \right)

. The angle of incidence is greater than the angle of refraction;

v\,\,\left( A \right)

and

v\,\,\left( B \right)

denote the speed of light in

A

and

B

. Then which of the following is true

View answer and explanation

Correct option: B

v\,\,\left( A \right)\,\, > \,\,v\,\,\left( B \right)

and

n\,\,\left( A \right)\,\, < \,\,n\,\,\left( B \right)

Option B (

v(A) > v(B)

and

n(A) < n(B)

) is correct because when the angle of incidence is greater than the angle of refraction, light travels from a rarer to a denser medium.

17 Medium

17 of 468

Understanding +4 | -1

A concave mirror is used to form image of the Sun on a white screen. If the lower half of the mirror were covered with an opaque card, the effect on the image on the screen would be

View answer and explanation

Correct option: B

To make the image less bright than before

Option B (To make the image less bright than before) is correct because covering part of the mirror reduces the amount of light reaching the screen, thus decreasing the image's brightness.

18 Medium

18 of 468

Understanding +4 | -1

Red colour is used for danger signals because

View answer and explanation

Correct option: B

It undergoes least scattering

Option B (It undergoes least scattering) is correct because red light has the longest wavelength and thus experiences the least scattering in the atmosphere, making it visible from greater distances.

19 Medium

19 of 468

Remembering +4 | -1

The refractive index of a piece of transparent quartz is the greatest for

View answer and explanation

Correct option: B

Violet light

Option B (Violet light) is correct because the refractive index is inversely proportional to the wavelength, and violet light has the shortest wavelength among the given options.

20 Medium

20 of 468

Application +4 | -1

An opera glass (Gallilean telescope) measures

9\,\,cm

from the objective to the eyepiece. The focal length of the objective is

15\,\,cm

. Its magnifying power is

View answer and explanation

Correct option: A

\mathrm{2}\mathrm{.5}

Option A (

\mathrm{2}\mathrm{.5}

) is correct because the magnifying power is 2.5, calculated using the ratio of the objective focal length to the eyepiece focal length.

21 Hard

21 of 468

Application +4 | -1

The exposure time of a camera lens at the

\frac{f}{{2.8}}

setting is

\frac{1}{{200}}

second. The correct time of exposure at

\frac{f}{{5.6}}

View answer and explanation

Correct option: B

0.02 sec

Option B (0.02 sec) is correct because the exposure time is proportional to the square of the f-number.

22 Medium

22 of 468

Application +4 | -1

The speed of light in media

{M_1}

and

{M_2}

1.5\,\, \times \,\,{10^8}\,m/s

and

2.0\,\, \times \,\,{10^8}\,\,\mathrm{m}/\mathrm{s}

respectively. A ray of light enters from medium

{M_1}

{M_2}

at an incidence angle

i

. If the ray suffers total internal reflection, the value of

i

View answer and explanation

Correct option: C

Equal to or greater than

{\sin ^{ - 1}}\,\,\left( {\frac{3}{4}} \right)

Option D (

4 \pi \\,{rad}\\, {s}^{-1}

) is correct because angular momentum is conserved, and when the moment of inertia decreases, the angular velocity increases proportionally.

23 Medium

23 of 468

Understanding +4 | -1

Assertion : The power of a converging lens is positive and that of a diverging lens is negative.

Reason: Because

P=\frac{1}{f}

View answer and explanation

Correct option: A

If both Assertion and Reason are true and the Reason is a correct explanation of the Assertion

Option A (If both Assertion and Reason are true and the Reason is a correct explanation of the Assertion) is correct because the power of a lens is the reciprocal of its focal length, and converging lenses have positive focal lengths while diverging lenses have negative focal lengths.

24 Medium

24 of 468

Application +4 | -1

If velocity of light in the air is

C

then what will be the velocity of light in medium of refractive index 1.4?

View answer and explanation

Correct option: A

2.1 \times 10^8 \mathrm{~m} / \mathrm{s}

Option A (

2.1 \times 10^8 \mathrm{~m} / \mathrm{s}

) is correct because the velocity of light in a medium is the speed of light in vacuum divided by the refractive index of the medium.

25 Medium

25 of 468

Application +4 | -1

A certain material has refractive indices

1.56,1.60

and 1.68 for red, yellow and violet light respectively. (a) Calculate the dispersive power. (b) Find the angular dispersion produced by a thin prism of angle

6^{\circ}

made of this material.

View answer and explanation

Correct option: B

0.2;\,\,0.72^{\circ}

Option B (

0.2;\,\,0.72^{\circ}

) is correct because the dispersive power and angular dispersion are calculated using the given refractive indices and prism angle.

26 Medium

26 of 468

Analyzing +4 | -1

A light ray is incident at an angle of

60^{\circ}

at one face of a prism. If emergent ray makes an angle of

30^{\circ}

with the incident ray, then correct statement is (Angle of prism is given as

30^{\circ}

)

View answer and explanation

Correct option: D

Final emergent ray is normal to second surface and refractive index is

\sqrt{3}

Option D (Final emergent ray is normal to second surface and refractive index is

\sqrt{3}

) is correct because the emergent ray is normal to the surface, and Snell's law gives a refractive index of

\sqrt{3}

27 Medium

27 of 468

Application +4 | -1

The objective lens of a compound microscope produces magnification of 10. In order to get an over all magnification of 100 when image is formed at 25 cm from the eye, the focal length of the eye lens should be (in cm)

View answer and explanation

Correct option: C

\frac{{25}}{9}

Option C (

\frac{{25}}{9}

) is correct because it satisfies the overall magnification requirement for the compound microscope.

28 Medium

28 of 468

Understanding +4 | -1

The chromatic aberration in lenses becomes due to

View answer and explanation

Correct option: C

Variation of focal length of lenses with wavelength

Option C is correct because chromatic aberration arises from the variation of the refractive index (and hence focal length) of the lens material with the wavelength of light.

29 Medium

29 of 468

Application +4 | -1

A Galilean telescope has an objective of focal length

\mathrm{100 }\,\mathrm{cm}

and magnifying power

\mathrm{50}

. The distance between the two lenses in normal

View answer and explanation

Correct option: A

\mathrm{98 }\,\mathrm{cm}

Option A (

\mathrm{98 }\,\mathrm{cm}

) is correct because the distance between the lenses in a Galilean telescope in normal adjustment is the difference between the focal lengths of the objective and eyepiece.

30 Medium

30 of 468

Analyzing +4 | -1

Assertion (A): In Snell's law

\mu=\frac{\sin i}{\sin r}

, angle

i

is always angle of incidence.

Reason (R):

\mu=\frac{\sin i}{\sin r}

is applicable one medium in air (or vacuum).

View answer and explanation

Correct option: C

If assertion is true but reason is false.

Option C is correct. The assertion is true because the refractive index is defined as the ratio of the sine of the angle of incidence to the sine of the angle of refraction. The reason is false because Snell's law applies to any pair of media, not just air or vacuum.

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Key Takeaways

✓ This set contains 468 single-correct-answer MCQs on RAY OPTICS.
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