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Wave Optics — JEE Main & Advanced Physics PYQs

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

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1

In the List-I, four optical effects are mentioned. The physical phenomena of light which are essential to describe these optical effects are given in List-II. Choose the option whi

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2

In a single slit diffraction experiment, a slit of width (0.016 0.002) mm is used to measure the wavelength of a monochromatic light source. In the diffraction pattern, the angular

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3

As shown in the figure, a ray AB of unpolarized light enters from water of refractive index n_w = 4/3 into a medium of refractive index n_p = 4/ 3 after passing through a glass pla

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4

Some distant star is to be observed by some telescope of diameter of objective lens a , at an angular resolution of 3.0 10⁻⁷ radian. If the wavelength of light from the star reachi

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5

In a Young double slit experiment, the wavelength of incident light is 6000 Å, the separation between slits S₁ and S₂ is 5 cm and the distance between slits plane and screen is 50

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6

In interference experiment the path difference between two interfering waves at a point A on the screen is /3 , where is the wavelength of these waves, and at another point B the p

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7

An unpolarized light of intensity I_o passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser a

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8

The maximum intensity in a Young's double slit experiment is I₀ . Distance between the slits ( d ) is 5 , where is the wavelength of light used. The intensity of the fringe, exactl

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9

In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is 2.4 m. If the experiment is carried out in another medium having refractiv

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10

An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at 30° and 90° , respectively, with respect to the horizontal a

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11

In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index 1.56 , the central fringe shifts to the position of 7^ th bright fring

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12

A slit of width a is illuminated by light of wavelength . The linear separation between 1^ st and 3^ rd minima in the diffraction pattern produced on a screen placed at a distance

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13

A telescope with objective diameter R is used to observe a distant star emitting light of wavelength 500 nm, at a resolution of 5 10⁻⁷ radian. The value of R is _____ cm.

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14

An unpolarized light is incident on the plane interface of air-dielectric medium shown in figure. If the incident angle is equal to Brewster angle, identify the expression represen

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15

In a Young's double slit experiment, the intensity at some point on the screen is found to be 3 4 times of the maximum of the interference pattern. The path difference between the

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16

In single slit diffraction pattern, the wavelength of light used is 628 nm and slit width is 0.2 mm, the angular width of central maximum is 10⁻² degrees. The value of is _______.

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17

A beam of light consisting of wavelengths 650 nm and 550 nm illuminates the Young's double slits with separation of 2 mm such that the interference fringes are formed on a screen,

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18

Given below are two statements: Statement I : A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave. Statement

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19

In the Young's double slit experiment the intensity produced by each one of the individual slits is I₀ . The distance between two slits is 2 mm. The distance of screen from slits i

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20

An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 2 3 (medium) respectively. To satisfy the condition th

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21

When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam wi

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22

In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes of equal width. The ratios of the slit

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23

Which of the following are true for a single slit diffraction? A. Width of central maxima increases with increase in wavelength keeping slit width constant. B. Width of central max

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24

Given below are two statements : Statement I : In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of th

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25

In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20 ~m is introduced

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26

In a double slit experiment the distance between the slits is 0.1 cm and the screen is placed at 50 cm from the slits plane. When one slit is covered with a transparent sheet havin

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27

A single slit diffraction experiment is performed to determine the slit width using the equation, b d D =m , where b is the slit width, D the shortest distance between the slit and

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28

In a Young's double slit experiment, a combination of two glass wedges A and B , having refractive indices 1.7 and 1.5, respectively, are placed in front of the slits, as shown in

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29

In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this case

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30

In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm. If the 20 maxima of th

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31

Two polarisers P₁ and P₂ are placed in such a way that the intensity of the transmitted light will be zero. A third polariser P₃ is inserted in between P₁ and P ₂ , at the particul

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32

In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm , the percentage change of the fringe width is:

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33

A monochromatic light of frequency 5 10¹⁴ ~Hz travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :

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34

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

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35

Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference patt

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36

Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities in the resulting interference pattern i

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37

A light wave is propagating with plane wave fronts of the type x+y+z= constant. The angle made by the direction of wave propagation with the x -axis is:

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38

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30^ in a single slit d

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39

Which of the following phenomena can not be explained by wave theory of light?

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40

A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with 10 th bright fringe having its centre at a d

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41

Young's double slit inteference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5 mm . The slits are illuminated by a parallel beam of light

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42

In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of P₁ and P₂ are orthogonal to each other. The polarizer P₃ covers both

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43

The ratio of the power of a light source S₁ to that the light source S₂ is 2 . S₁ is emitting 2 10¹⁵ photons per second at 600 nm . If the wavelength of the source S₂ is 300 nm , t

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44

The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright f

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45

The width of one of the two slits in Young's double slit experiment is d while that of the other slit is x ~d . If the ratio of the maximum to the minimum intensity in the interfer

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46

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In Young's double slit experiment, the fringes produced by

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47

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion-(A) : If Young's double slit experiment is performed in an opti

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48

Paragraph I: In a Young's double slit experiment, each of the two slits A and B, as shown in the figure, are oscillating about their fixed center and with a mean separation of 0.8

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49

In a Young's double slit experiment, each of the two slits A and B, as shown in the figure, are oscillating about their fixed center and with a mean separation of 0.8 ~mm . The dis

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50

A point source S emits unpolarized light uniformly in all directions. At two points A and B , the ratio r=I_A / I_B of the intensities of light is 2. If a set of two polaroids havi

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51

Monochromatic light of wavelength 500 ~nm is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very t

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52

In a Young's double slit experiment, the intensity at a point is ( 1 4 )^ th of the maximum intensity, the minimum distance of the point from the central maximum is ________ m . (G

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53

Two slits are 1 ~mm apart and the screen is located 1 ~m away from the slits. A light of wavelength 500 ~nm is used. The width of each slit to obtain 10 maxima of the double slit p

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54

A parallel beam of monochromatic light of wavelength 600 ~nm passes through single slit of 0.4 ~mm width. Angular divergence corresponding to second order minima would be ______ 10

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55

Two coherent monochromatic light beams of intensities I and 4 I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is x I . The

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56

In a single slit experiment, a parallel beam of green light of wavelength 550 ~nm passes through a slit of width 0.20 ~mm . The transmitted light is collected on a screen 100 ~cm a

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57

Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :

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58

In Young's double slit experiment, carried out with light of wavelength 5000 , the distance between the slits is 0.3 ~mm and the screen is at 200 ~cm from the slits. The central ma

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59

The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum of the minimum intensity in the interference patte

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60

Two wavelengths ₁ and ₂ are used in Young's double slit experiment. ₁=450 ~nm and ₂=650 ~nm . The minimum order of fringe produced by ₂ which overlaps with the fringe produced by ₁

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61

In Young's double slit experiment, monochromatic light of wavelength 5000 A ∘ is used. The slits are 1 . 0 mm apart and screen is placed at 1 . 0 m away from slits. The distance fr

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62

A microwave of wavelength 2 . 0 cm falls normally on a slit of width 4 . 0 cm . The angular spread of the central maxima of the diffraction pattern obtained on a screen 1 . 5 m awa

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63

A monochromatic light of wavelength 6000 A o is incident on the single slit of width 0 . 01 mm . If the diffraction pattern is formed at the focus of the convex lens of focal lengt

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64

When unpolarized light is incident at an angle of 60 ° on a transparent medium from air. The reflected ray is completely polarized. The angle of refraction in the medium is

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65

Two waves of intensity ratio 1 : 9 cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is I 1 b Waves are coherent is I 2 and differ

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66

A beam of unpolarised light of intensity I 0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45 °

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67

The diffraction pattern of a light of wavelength 400 nm diffracting from a slit of width 0 . 2 mm is focused on the focal plane of a convex lens of focal length 100 cm . The width

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68

In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two lights reaching at a point on the screen is 7

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69

In a single slit diffraction pattern, a light of wavelength 6000 A o is used. The distance between the first and third minima in the diffraction pattern is found to be 3 mm when th

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70

In a double slit experiment shown in figure, when light of wavelength 400 nm is used, dark fringe is observed at P . If D = 0 . 2 m , the minimum distance between the slits S 1 and

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71

A parallel beam of monochromatic light of wavelength 5000 A o is incident normally on a single narrow slit of width 0 . 001 mm . The light is focused by convex lens on screen, plac

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72

When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :

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73

A single slit of width a is illuminated by a monochromatic light of wavelength 600 nm . The value of a for which first minimum appears at θ = 30 o on the screen will be :

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74

In a Young’s double slit experiment, the ratio of amplitude of light coming from slits is 2 : 1 . The ratio of the maximum to minimum intensity in the interference pattern is

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75

The ratio of intensities at two points P and Q on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are π 3 and &#9

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76

Unpolarised light of intensity 32 W m − 2 passes through the combination of three polaroids such that the pass axis of the last polaroids is perpendicular to that of the pass

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77

The width of fringe is 2 mm on the screen in a double slit experiment for the light of wavelength of 400 nm . The width of the fringe for the light of wavelength 600 nm will be:

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78

A beam of light consisting of two wavelengths 7000   A o and 5500   A o is used to obtain interference pattern in Young's double slit experiment. The distance between

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79

As shown in the figure, in Young's double slit experiment, a thin plate of thickness t = 10 μm and refractive index μ = 1 . 2 is inserted infront of slit S 1 . The ex

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80

‘ n ’ polarizing sheets are arranged such that each makes an angle 45 ° with the proceeding sheet. An unpolarized light of intensity I is incident into this arrang

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81

Two light waves of wavelengths 800 and 600 nm are used in Young's double slit experiment to obtain interference fringes on a screen placed 7 m away from plane of slits. If the

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82

Two polaroids A and B are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid C is placed between A and B bisecting angle be

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83

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R Assertion A : The beam of electrons shows wave nature and exhibit interference

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84

In a Young’s double slit experiment, the intensities at two points, for the path difference λ 4 and λ 3 ( λ being the wavelength of light used) are I 1 and I 2

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85

In Young’s double slit experiment, two slits S 1 and S 2 are d distance apart and the separation from slits to screen is D (as shown in figure). Now if two transparent slabs

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86

Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2 . 8 (medium – 1 ) and 6 . 8 (medium – 2 ), respectively. To

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87

In a Young’s double slit experiment, two slits are illuminated with a light of wavelength 800 nm . The line joining A 1 P is perpendicular to A 1 A 2 as shown in the figure.

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88

As shown in figures, three identical polaroids P 1 , P 2 and P 3 are placed one after another. The pass axis of P 2 and P 3 are inclined at angle of 60 º and 90 º with re

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89

In Young's double slits experiment, the position of 5 th bright fringe from the central maximum is 5 cm . The distance between slits and screen is 1 m and wavelength of used mo

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90

Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to glass is θ B , then Brewster's angle for the light propaga

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91

A double slit setup is shown in the figure. One of the slits is in medium 2 of refractive index n 2 . The other slit is at the interface of this medium with another medium 1 of ref

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92

An unpolarised light beam of intensity 2 I 0 is passed through a polaroid P and then through another polaroid Q which is oriented in such a way that its passing axis makes an angle

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93

In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes' separation of 7 . 2 mm . Now another light is

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94

Two coherent sources of light interfere. The intensity ratio of two sources is 1 : 4 . For this interference pattern if the value of I max + I min I max - I min is equal to 2 &#945

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95

Two beams of light having intensities I and 4 I interfere to produce a fringe pattern on a screen. The phase difference between the two beams are π 2 and π 3 at points A

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96

In young's double slit experiment, the fringe width is 12 mm . If the entire arrangement is placed in water of refractive index 4 3 , then the fringe width becomes (in mm )

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97

In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5 × 10 - 2 m

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98

Using Young's double slit experiment, a monochromatic light of wavelength 5000 Å produces fringes of fringe width 0 . 5 mm . If another monochromatic light of wavelength

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99

In young's double slit experiment performed using a monochromatic light of wavelength λ , when a glass plate μ = 1 . 5 of thickness x λ is introduced in the path

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100

In a Young's double slit experiment, an angular width of the fringe is 0 . 35 ° on a screen placed at 2 m away for particular wavelength of 450 nm . The angular width of t

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101

In Young's double slit experiment the two slits are 0 . 6 mm distance apart. Interference pattern is observed on a screen at a distance 80 cm from the slits. The first dark fri

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102

A wave of frequency = 3 GHz , strikes a particle of size 1 100 t h of λ , then this phenomenon is called as

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103

The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1 . And the ratio I max + I min I max - I min is 5 x . Then, the value of x will be equa

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104

A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suita

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105

The two light beams having intensities I and 9 I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π 2 at point P and π at poin

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106

Sodium light of wavelengths 650   nm and 655   nm is used to study diffraction at a single slit of aperture 0 . 5   mm . The distance between the slit and the screen

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107

Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour and 8 hours respectively. The radius of the or

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108

In a Young's double slit experiment, the slits are separated by 0 . 3   mm and the screen is 1 . 5   m away from the plane of slits. Distance between fourth bright fr

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109

The light waves from two coherent sources have same intensity I 1 = I 2 = I 0 . In interference pattern the intensity of light at minima is zero. What will be the intensity of ligh

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110

A source of light is placed in front of a screen. The intensity of light on the screen is I . Two Polaroids P 1 and P 2 are so placed in between the source of light and screen that

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111

White light is passed through a double slit and interference is observed on a screen 1 . 5   m away. The separation between the slits is 0 . 3   mm . The first violet and

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112

The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is _____ mm . [Refra

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113

In Young's double slit experiment, if the source of light changes from orange to blue then:

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114

In the Young's double slit experiment, the distance between the slits varies in time as d t = d 0 + a 0 sin ω t ; where d 0 , ω and a 0 are constants. The difference

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115

In Young's double slit arrangement, slits are separated by a gap of 0 . 5 mm , and the screen is placed at a distance of 0 . 5 m from them. The distance between the first and t

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116

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is x nm . The value of x to the nearest inte

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117

In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the fringe separation wi

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118

Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0 . 1 μ m . If the diameter of the pinhole is slightly increased, it will affect

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119

Two coherent light sources having intensity in the ratio 2 x produce an interference pattern. The ratio I max - I min I max + I min will be

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120

If the source of light used in a Young's double slit experiment is changed from red to violet:

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