Physics – Wave Optics
Class 12 Physics (Chapter 10) • 100 Multiple Choice Questions
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Question 1
A wavefront is defined as the locus of all points in a medium having the same:
Correct Answer: Phase
Question 2
The direction of a ray of light is always:
Correct Answer: Perpendicular to the wavefront
Question 3
What is the shape of the wavefront for a point source of light at a finite distance?
Correct Answer: Spherical
Question 4
What is the shape of the wavefront for light coming from a very distant source (like a star)?
Correct Answer: Plane
Question 5
According to Huygens' Principle, every point on a wavefront acts as a source of secondary wavelets that spread out with the speed of light in that medium, and the new wavefront at any later time is given by:
Correct Answer: The forward envelope of these secondary wavelets
Question 6
Which phenomenon successfully proves the wave nature of light?
Correct Answer: Interference and Diffraction
Question 7
Constructive interference occurs at points where the phase difference between two interfering waves is an:
Correct Answer: Even multiple of π (2nπ)
Question 8
Destructive interference occurs at points where the phase difference between two interfering waves is an:
Correct Answer: Odd multiple of π (2n + 1)π
Question 9
In Young's Double Slit Experiment (YDSE), the fringe width (β) is given by:
Correct Answer: β = λ D / d
Question 10
In YDSE, if the whole apparatus is immersed in water (refractive index n > 1), what happens to the fringe width (β)?
Correct Answer: Decreases (becomes β / n)
Question 11
Coherent sources are those that emit light waves of:
Correct Answer: Same frequency, constant initial phase difference, and same wavelength
Question 12
Why are two independent light bulbs not coherent sources?
Correct Answer: Light emission is due to independent atomic transitions happening randomly in time and phase
Question 13
Diffraction is defined as:
Correct Answer: Bending of light around corners of an obstacle or aperture
Question 14
In a single-slit diffraction pattern, the condition for secondary minima is given by (where a is slit width):
Correct Answer: a sin θ = nλ (n = 1, 2, 3...)
Question 15
Polarization of light confirms that light waves are:
Correct Answer: Transverse in nature
Question 16
Brewster's Law states that when unpolarized light is incident at polarizing angle (Brewster's angle i_p), the reflected and refracted rays are:
Correct Answer: Mutually perpendicular (at 90° to each other)
Question 17
According to Brewster's Law, the refractive index (n) of a medium is related to Brewster's angle (i_p) as:
Correct Answer: n = tan(i_p)
Question 18
Malus's Law states that when completely plane-polarized light is incident on an analyzer, the transmitted intensity (I) varies as:
Correct Answer: I = I₀ cos² θ
Question 19
In Malus's Law (I = I₀ cos² θ), θ represents:
Correct Answer: Angle between the transmission axes of polarizer and analyzer
Question 20
What is the intensity of transmitted light when unpolarized light passes through a single ideal polarizer?
Correct Answer: Half of the incident intensity (I₀ / 2)
Question 21
What is the path difference corresponding to a phase difference of 2Ï€ radians?
Correct Answer: λ (Wavelength)
Question 22
In YDSE, if the intensity of two interfering waves is I₀ each, what is the maximum intensity at constructive interference?
Correct Answer: 4 I₀
Question 23
What is the minimum intensity in YDSE when two interfering waves have individual intensities I₀?
Correct Answer: Zero
Question 24
Which of the following describes corpuscular theory of light proposed by Newton?
Correct Answer: Light consists of tiny, massless, elastic particles called corpuscles
Question 25
According to Newton's corpuscular theory, speed of light in a denser medium (like water) compared to air is:
Correct Answer: Greater (which was later proven wrong by wave theory experiments)
Question 26
What happens to the fringe width in YDSE if the distance between the slits (d) is doubled?
Correct Answer: Halved
Question 27
What happens to the fringe width in YDSE if the distance between the slit and screen (D) is doubled?
Correct Answer: Doubled
Question 28
In a single-slit diffraction pattern, the width of the central maximum is:
Correct Answer: Twice the width of any secondary maximum (2λ D / a)
Question 29
What happens to diffraction fringes if monochromatic light in YDSE/diffraction is replaced by white light?
Correct Answer: Central white fringe with colored fringes on both sides
Question 30
The resolving power of a microscope can be increased by using:
Correct Answer: Light of shorter wavelength (like ultraviolet or electron beams)
Question 31
Unpolarized light has electric field vibrations in:
Correct Answer: All directions perpendicular to the direction of wave propagation
Question 32
Plane-polarized light has electric field vibrations confined to:
Correct Answer: A single plane perpendicular to the direction of propagation
Question 33
Which of the following waves CANNOT be polarized because they are longitudinal?
Correct Answer: Sound waves in air
Question 34
What is the path difference for the 3rd dark fringe in YDSE?
Correct Answer: 2.5 λ (or 5λ/2)
Question 35
What is the path difference for the 4th bright fringe in YDSE?
Correct Answer: 4λ
Question 36
Why does a soap bubble show beautiful colors when illuminated by white light?
Correct Answer: Interference of light reflected from the front and back surfaces of the thin film
Question 37
What is the condition for constructive interference in thin films reflected light (considering film thickness t and refractive index n)?
Correct Answer: 2 n t cos r = (n + 1/2)λ or 2nt = (2n+1)λ/2
Question 38
In a diffraction pattern, the width of secondary maxima compared to central maximum is:
Correct Answer: Half (λ D / a)
Question 39
Why are diffraction effects generally not observed with sound waves in everyday life objects?
Correct Answer: Wavelength of sound is comparable to everyday obstacle sizes
Question 40
What is the resolving power of a telescope whose objective has diameter D and light wavelength λ?
Correct Answer: D / (1.22 λ)
Question 41
What is the limit of resolution (minimum angular separation) for a telescope?
Correct Answer: 1.22 λ / D
Question 42
In Huygens' construction, each point on a wavefront is a source of:
Correct Answer: Secondary spherical wavelets
Question 43
Which law of optics can be proved using Huygens' Wave Theory?
Correct Answer: Both laws of reflection and laws of refraction (Snell's Law)
Question 44
What is the angle of incidence equal to in proof of reflection by Huygens' Principle?
Correct Answer: Angle of reflection (i = r)
Question 45
Interference phenomenon obeys which fundamental law of conservation?
Correct Answer: Conservation of energy (energy is redistributed, not destroyed)
Question 46
In YDSE, the 5th bright fringe is formed at a path difference of:
Correct Answer: 5λ
Question 47
In YDSE, the 4th dark fringe is formed at a path difference of:
Correct Answer: 3.5 λ (or 7λ/2)
Question 48
What is the angular width of central maximum in a single-slit diffraction pattern?
Correct Answer: 2λ / a
Question 49
What type of diffraction occurs when both source and screen are at finite distances from the obstacle?
Correct Answer: Fresnel diffraction
Question 50
What type of diffraction occurs when both source and screen are effectively at infinite distances (using lenses)?
Correct Answer: Fraunhofer diffraction
Question 51
What is the polarizing angle for water of refractive index 1.33?
Correct Answer: ≈ 53°
Question 52
Which device is used to produce or analyze plane-polarized light?
Correct Answer: Polaroid / Nicol prism
Question 53
What happens to the fringe pattern in YDSE if one of the slits is covered with a thin cellophane sheet of refractive index n and thickness t?
Correct Answer: The entire fringe pattern shifts towards the side of the covered slit
Question 54
What is the fringe shift (y) when a thin transparent sheet of thickness t and refractive index n is introduced in YDSE?
Correct Answer: Δy = (n - 1) t D / d
Question 55
Why are interference fringes not observed with two independent sodium lamps?
Correct Answer: Because the sources are incoherent and phase changes randomly every fraction of a nanosecond
Question 56
What is the angular position of the first minimum in single-slit diffraction of slit width a?
Correct Answer: sin θ = λ / a
Question 57
Which of the following phenomena proves that light travels in straight lines under normal circumstances?
Correct Answer: Rectilinear propagation (though wave nature explains diffraction around small edges)
Question 58
What is the shape of wavefront when a plane wave passes through a convex lens?
Correct Answer: Converging spherical wavefront
Question 59
What is the shape of wavefront when a plane wave passes through a concave lens?
Correct Answer: Diverging spherical wavefront
Question 60
In YDSE, if the distance between source and screen is doubled and slit separation is halved, the fringe width becomes:
Correct Answer: Four times
Question 61
What is the ratio of maximum to minimum intensity in an interference pattern where amplitudes of two interfering waves are a₁ and a₂?
Correct Answer: ((a₁ + a₂) / (a₁ - a₂))²
Question 62
Which scientist first observed the diffraction of light around obstacles?
Correct Answer: Francesco Grimaldi
Question 63
In a double-slit experiment, if one slit is covered, what happens to the interference pattern on the screen?
Correct Answer: Interference fringes disappear and a broad single-slit diffraction pattern appears
Question 64
What is the phase difference between two points on the same wavefront?
Correct Answer: Zero
Question 65
What is the phase difference between two consecutive wavefronts corresponding to path difference λ?
Correct Answer: 2Ï€ radians
Question 66
Which type of wavefront is produced by a linear source like a slit or fluorescent tube?
Correct Answer: Cylindrical wavefront
Question 67
In YDSE, if the wavelength of light used is doubled, the fringe width becomes:
Correct Answer: Doubled
Question 68
What is the central fringe in YDSE always?
Correct Answer: Bright fringe (maximum intensity)
Question 69
Which phenomenon explains why light bends around the edges of a shadow instead of casting a sharp geometric shadow?
Correct Answer: Diffraction
Question 70
What is the angle of polarization (Brewster's angle) for a medium of refractive index n = 1?
Correct Answer: 45° (since tan 45° = 1)
Question 71
When unpolarized light is incident at Brewster's angle on a glass surface, what is the polarization state of the reflected light?
Correct Answer: Completely plane-polarized
Question 72
In YDSE, if the distance between source and slits is decreased, what happens to the fringe pattern?
Correct Answer: Fringe width remains unaffected (since β depends on D, d, and λ)
Question 73
What is the resolving power of a microscope dependent on regarding numerical aperture (NA)?
Correct Answer: Directly proportional to NA (2 n sin θ / λ)
Question 74
Why can't light waves show interference if their polarizations are perpendicular to each other?
Correct Answer: Waves vibrating in mutually perpendicular planes do not interfere
Question 75
In YDSE, if white light is used, which color fringe is closest to the central white fringe?
Correct Answer: Violet
Question 76
Which color fringe is farthest from the central white fringe in YDSE using white light?
Correct Answer: Red
Question 77
What is the angular width of the central maximum in single-slit diffraction if slit width a equals wavelength λ?
Correct Answer: 2 radians (114.6°)
Question 78
What is the condition for secondary maxima in single-slit diffraction?
Correct Answer: a sin θ = (n + 1/2)λ (n = 1, 2, 3...)
Question 79
According to Huygens' wave theory, light waves are:
Correct Answer: Mechanical waves assumed to travel through an all-pervading hypothetical medium 'ether'
Question 80
What is the main difference between interference and diffraction patterns?
Correct Answer: Interference fringes are of equal width, while diffraction fringes vary in width and intensity
Question 81
What is the ratio of slit width to wavelength for distinct diffraction to be observed easily?
Correct Answer: Slit width should be comparable to wavelength (a ≈ λ)
Question 82
In YDSE, if the distance between the screen and slits is 1 m, slit separation is 1 mm, and wavelength is 500 nm, what is the fringe width?
Correct Answer: 0.5 mm
Question 83
What is the minimum path difference for destructive interference?
Correct Answer: λ / 2
Question 84
What is the minimum path difference for constructive interference?
Correct Answer: Zero
Question 85
Which of the following optical phenomena supports the particle (photon) nature of light rather than wave nature?
Correct Answer: Photoelectric effect
Question 86
What is the speed of light in a medium of refractive index 1.5?
Correct Answer: 2.0 × 10⁸ m/s
Question 87
When light reflects from a denser medium, what is the equivalent path difference introduced due to phase change of π?
Correct Answer: λ / 2
Question 88
In a double-slit experiment, if the slits are illuminated by white light, which fringes are colored?
Correct Answer: All fringes except the central fringe
Question 89
What is the condition for total destructive interference in terms of path difference (Δx)?
Correct Answer: Δx = (2n + 1) λ / 2
Question 90
What is the condition for total constructive interference in terms of path difference (Δx)?
Correct Answer: Δx = nλ (n = 0, 1, 2...)
Question 91
Which of the following phenomena cannot be explained by the wave theory of light?
Correct Answer: Photoelectric effect
Question 92
The wavefront originating from a point source at infinity is:
Correct Answer: Plane wavefront
Question 93
What is the intensity of light at minima in an interference pattern for ideal coherent sources of equal amplitude?
Correct Answer: Zero
Question 94
In a Young's double-slit experiment, the angular fringe width is given by:
Correct Answer: θ = λ / d
Question 95
Which of the following is an example of polarization by scattering?
Correct Answer: Polarization of sunlight scattered by air molecules (blue sky)
Question 96
What is the phase difference between two points having a path difference of λ / 4?
Correct Answer: Ï€ / 2 radians (90°)
Question 97
In a single-slit diffraction pattern, what is found at the very center of the pattern (θ = 0)?
Correct Answer: Central maximum (brightest and widest)
Question 98
What happens to the resolving power of a telescope if the diameter of its objective lens is increased?
Correct Answer: Increases
Question 99
Which of the following describes the Huygens' secondary wavelets concept correctly?
Correct Answer: Only forward wavelets are effective in contributing to the new wavefront (no backward wave)
Question 100
What is the total path difference at the position of the 1st secondary minimum in single-slit diffraction?
Correct Answer: λ
