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Light Waves — JEE Main & Advanced Physics PYQs

86 previous year questions from Light Waves with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

Determine the frequency range of light that is visible to an average human being ( 400 nm < < 700 nm ).

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2

In air, sodium light has a wavelength of 589 nm . Determine its frequency in water (refractive index = 1.33 ).

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3

In air, sodium light has a wavelength of 589 nm . Determine its speed in water (refractive index = 1.33 ).

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4

In air, sodium light has a wavelength of 589 nm . Determine its frequency in air.

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5

For light of wavelength 400 nm , the index of refraction of fused quartz is 1.472 , and for light of wavelength 760 nm , it is 1.452 . Determine the speeds of light for these wavel

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6

In air, sodium light has a wavelength of 589 nm . Determine its wavelength in water (refractive index = 1.33 ).

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7

In a certain liquid, the speed of yellow light is 2.4 10^8 m s ⁻¹ . Determine the refractive index of the liquid.

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8

Light of wavelength 5.0 10⁻⁷ m is emitted in phase from two narrow slits. An interference pattern is formed on a screen placed 1.0 m away. Determine the separation between the sour

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9

Separated by a distance of 1.0 cm , two narrow slits emit light in phase. The light has a wavelength of 5.0 10⁻⁷ m . An interference pattern is formed on a screen positioned 1.0 m

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10

In a Young's double slit experiment, the separation between consecutive dark fringes is 1.0 mm . The screen is situated at a distance of 2.5 m from the slits, while the separation

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11

In an experiment on double slit interference, the distance separating the slits is 1.0 mm and the wavelength of the light is 5.0 10⁻⁷ m . The screen is placed 1.0 m away from the s

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12

During a double slit interference experiment, light with a wavelength of 5.0 10⁻⁷ m is used, and the separation between the slits is 1.0 mm . The screen is positioned 1.0 m from th

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13

In a Young's double slit experiment, two narrow vertical slits positioned 0.800 mm apart are illuminated by the same source of yellow light having a wavelength of 589 nm . Determin

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14

In a double slit interference experiment, a source emits light of wavelengths 480 nm and 600 nm . The separation between the slits is 0.25 mm , and the interference is observed on

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15

In a Young's double slit experiment employing white light, determine the minimum order of the violet fringe ( = 400 nm ) that overlaps with a red fringe ( = 700 nm ).

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16

Determine the thickness of a plate required to produce a change in the optical path equal to half the wavelength of light travelling through it normally. The plate has a refractive

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17

In a double slit experiment, a plate having thickness t and refractive index is positioned in front of one of the slits. Determine the change in the optical path resulting from the

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18

In a double slit experiment utilizing light of wavelength , a plate of refractive index and thickness t is placed in front of one of the slits. Assuming no light absorption in the

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19

In a Young's double slit experiment using monochromatic light of wavelength 620 nm , a transparent paper (refractive index = 1.45 ) with a thickness of 0.02 mm is pasted over one o

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20

During a Young's double slit experiment with monochromatic light, introducing a mica sheet of refractive index 1.6 and thickness 1.964 micron ( 1 micron = 10⁻⁶ m ) into the path of

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21

Determine the angular separation between consecutive bright fringes for a Young's double slit experiment using blue-green light of wavelength 500 nm . The distance between the slit

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22

A double slit apparatus is fitted with a mica strip and a polystyrene strip on its two slits. The thickness of the strips is 0.50 mm , while the separation between the slits is 0.1

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23

A double slit apparatus is fitted with a mica strip and a polystyrene strip on its two slits. The thickness of the strips is 0.50 mm , while the separation between the slits is 0.1

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24

Two transparent slabs of equal thickness but distinct refractive indices ₁ and ₂ are joined side by side to create a composite slab. This slab is positioned immediately after the d

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25

A thin paper of thickness 0.02 mm with a refractive index of 1.45 is pasted across one of the slits in a Young's double slit experiment. The paper transmits 4/9 of the incident lig

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26

A thin paper of thickness 0.02 mm with a refractive index of 1.45 is pasted across one of the slits in a Young's double slit experiment. The paper transmits 4/9 of the incident lig

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27

A Young's double slit apparatus features slits separated by 0.28 mm and a screen located 48 cm from the slits. The entire setup is submerged in water, and the slits are illuminated

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28

In a Young's double slit experiment, a parallel beam of monochromatic light is used. The slits are separated by a distance d and the screen is placed parallel to the plane of the s

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29

A narrow slit S transmitting light of wavelength is positioned a distance d above a large plane mirror. Light arriving directly from the slit and light arriving after reflection in

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30

A narrow slit S transmitting light of wavelength is positioned a distance d above a large plane mirror. Light arriving directly from the slit and light arriving after reflection in

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31

A long narrow horizontal slit is positioned 1 mm above a horizontal plane mirror. The interference between the light arriving directly from the slit and the light arriving after re

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32

A long narrow horizontal slit is placed 1 mm above a horizontal plane mirror. The interference pattern formed by the light arriving directly from the slit and the light arriving af

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33

Coherent light of wavelength illuminates a double slit S₁ - S₂ . The separation between the slits is d . A plane mirror is positioned in front of the double slit at a distance D₁ ,

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34

White coherent light ( 400 nm – 700 nm ) is passed through the slits of a Young's double slit experiment. The separation between the slits is 0.5 mm and the screen is situated 50 c

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35

White coherent light ( 400 nm – 700 nm ) is passed through the slits of a Young's double slit experiment. The separation between the slits is 0.5 mm and the screen is situated 50 c

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36

An optical arrangement is depicted in the figure. The distance D is significantly greater than the separation d between the slits. Determine the minimum value of d such that a dark

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37

For an optical arrangement as depicted in the figure, the distance D is significantly greater than the slit separation d . Assume d is set to the minimum value required to produce

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38

For an optical arrangement as depicted in the figure, the distance D is significantly greater than the slit separation d . Assume d is set to the minimum value required to produce

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39

Two coherent point sources S₁ and S₂ , vibrating in phase, emit light of wavelength . The distance separating the sources is 2 . Considering a line that passes through S₂ and is pe

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40

The figure displays three equidistant slits illuminated by a monochromatic parallel beam of light. Given that BP₀ - AP₀ = /3 and D , determine the distance d between adjacent slits

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41

Consider three equidistant slits A, B, and C (with B located between A and C) illuminated by a monochromatic parallel beam of light. A screen is positioned at a distance D ( D ) su

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42

In a Young's double slit experiment, the distance of the screen from the slits is 2.0 m , the separation between the slits is 2.0 mm , and the wavelength of the light used is 600 n

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43

In a Young's double slit interference experiment, the fringe pattern is observed on a screen placed at a distance D from the slits. The slits are separated by a distance d and are

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44

In a Young's double slit interference experiment, the fringe pattern is observed on a screen placed at a distance D from the slits. The slits are separated by a distance d and are

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45

In a Young's double slit experiment, = 500 nm , d = 1.0 mm , and D = 1.0 m . Determine the minimum distance from the central maximum at which the intensity is half of the maximum i

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46

In a Young's double slit experiment, the line-width of a bright fringe is occasionally defined as the distance between the points on either side of the central line at which the in

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47

Consider the setup shown in the figure. Two slits S₁ and S₂ are placed symmetrically around the central line and are illuminated by a monochromatic light of wavelength . The separa

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48

Two slits S₁ and S₂ , located symmetrically about the central axis, are illuminated by monochromatic light of wavelength . The distance between these slits is d . The light transmi

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49

Two slits S₁ and S₂ , arranged symmetrically around the central line, are illuminated by monochromatic light having wavelength . The slit separation is d . Light transmitted by the

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50

Observe the setup illustrated in the figure. Through a certain mechanism, the separation between the slits S₃ and S₄ can be adjusted. The intensity is recorded at the point P , whi

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51

Observe the setup illustrated in the figure. Through a certain mechanism, the separation between the slits S₃ and S₄ can be adjusted. The intensity is recorded at the point P , whi

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52

Observe the setup illustrated in the figure. Through a certain mechanism, the separation between the slits S₃ and S₄ can be adjusted. The intensity is recorded at the point P , whi

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53

When observed using reflected light of wavelength 580 nm , a soap film with a thickness of 0.0011 mm appears dark. Determine the index of refraction of the soap solution, given tha

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54

A parallel beam of light having a wavelength of 560 nm is incident on a thin film of oil with a refractive index of 1.4 . Determine the minimum thickness of the film required for i

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55

A parallel beam of white light is incident normally on a water film of thickness 1.0 10⁻⁴ cm . Determine the wavelengths in the visible range ( 400 nm – 700 nm ) that are strongly

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56

A glass surface is covered by a uniform oil film with a thickness of 1.00 10⁻⁴ cm . The refractive index of the oil is 1.25 , while that of the glass is 1.50 . Determine the wavele

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57

Plane microwaves are incident on a long slit of width 5.0 cm . Determine the wavelength of the microwaves if the first diffraction minimum is observed at = 30^ .

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58

Light of wavelength 560 nm passes through a pinhole of diameter 0.20 mm and strikes a wall located at a distance of 2.00 m . Determine the diameter of the central bright spot forme

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59

A parallel beam of light of wavelength 620 nm is focused by a convex lens of diameter 8.0 cm . Determine the diameter of the central bright spot formed if the light is focused at a

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60

The speed of light is dependent

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61

Which of the following phenomena provides evidence that light is a transverse wave?

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62

As light undergoes refraction into a medium,

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63

Light is best described as a

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64

A light wave is described by the equation y = A (kx - t) . In this expression, y denotes the

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65

Which of the following characteristics remains unchanged when light undergoes refraction?

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66

An amplitude modulated (AM) radio wave bends noticeably around the corners of a 1 m 1 m board, whereas a frequency modulated (FM) wave bends only negligibly. Given that the average

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67

Which of the sources listed below produces the best monochromatic light?

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68

The wavefronts of a light wave travelling in vacuum are defined by x + y + z = c . The angle formed by the direction of propagation of the light with the X-axis is

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69

The wavefronts of light arriving from a distant source of unknown shape are approximately

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70

The inverse square law of intensity (where intensity 1 r^2 ) holds true for a

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71

Two sources are considered coherent if the waves they produce

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72

Two coherent sources with different intensities emit waves that interfere with each other. If the ratio of the maximum intensity to the minimum intensity is 25 , the ratio of the i

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73

When a thin transparent sheet is placed in front of a Young's double slit, the fringe-width will

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74

When Young's double slit experiment is conducted in water,

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75

When a drop of oil spreads across a water surface, it exhibits beautiful colours in daylight due to

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76

In a Young's double slit experiment, the slits possess equal width, and the source is positioned symmetrically relative to them. The intensity at the central fringe is I₀ . If one

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77

A light wave can propagate

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78

Huygens' principle of secondary wavelets can be applied to

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79

The speed of light emitted by a source is measured as v_A , v_B , and v_C by three observers A , B , and C , respectively. Observer A travels towards the source and observer C trav

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80

Which of the following characteristics of light conclusively support the wave theory of light?

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81

As light propagates through a vacuum, an electric field and a magnetic field are present. These fields

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82

Light waves propagate in a vacuum along the X-axis. Which of the following equations may represent the wavefronts?

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83

If the light source utilized in a Young's double slit experiment is changed from red to violet,

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84

A Young's double slit experiment is conducted using white light.

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85

Consider four light waves given by the expressions: (i) y = a₁ t (ii) y = a₂ ( t + ) (iii) y = a₁ 2 t (iv) y = a₂ 2( t + ) Interference fringes can be produced by the superposition

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86

Three observers A , B and C measure the speed of light coming from a source to be v_A , v_B and v_C . The observer A moves towards the source and C moves away from the source at th

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