Huygens' Wave Theory — IISER Physics MCQs with Solutions
Free IISER Physics Huygens' Wave Theory MCQs with step-by-step solutions (42 questions). Part of Wave Theory of Light. Practise online on Prepizo — no login needed.
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Questions with solutions
Q1 — Huygens' Wave Theory · easy · theory
A wavefront is defined as:
A. A single ray of light
B. The direction in which light travels
C. The locus of all points of a medium vibrating in the same phase ✓ Correct
D. The path difference between two waves
Solution: A wavefront is the continuous locus of all points that are in the same phase of vibration at a given instant.
Q2 — Huygens' Wave Theory · medium · theory
In his original wave theory, Huygens assumed light to be a:
A. Transverse electromagnetic wave
B. Longitudinal wave propagating through an all-pervading medium (ether) ✓ Correct
C. Stream of corpuscles
D. Stream of photons
Solution: Huygens treated light as a longitudinal mechanical wave travelling through a hypothetical medium called the luminiferous ether.
Q3 — Huygens' Wave Theory · easy · theory
Huygens' principle states that every point on a wavefront acts as a:
A. Source that reflects the wave backward
B. Source of secondary wavelets, and the new wavefront is their forward envelope ✓ Correct
C. Fixed point with no further propagation
D. Point that absorbs the wave
Solution: Each point on a wavefront is a source of secondary spherical wavelets; the tangential surface (forward envelope) of these wavelets gives the new wavefront.
Q4 — Huygens' Wave Theory · medium · theory
The secondary wavelets in Huygens' construction travel with:
A. Zero speed
B. A speed greater than light
C. The speed of light in that medium ✓ Correct
D. The speed of sound in the medium
Solution: Secondary wavelets spread out in all forward directions with the speed of light in the medium.
Q5 — Huygens' Wave Theory · easy · theory
The wavefront produced by a point source of light in an isotropic medium is:
A. Spherical ✓ Correct
B. Plane
C. Cylindrical
D. Elliptical
Solution: A point source sends out wavelets equally in all directions, giving a spherical wavefront.
Q6 — Huygens' Wave Theory · medium · theory
A linear (slit) source of light produces a wavefront that is:
A. Conical
B. Plane
C. Spherical
D. Cylindrical ✓ Correct
Solution: A line source produces cylindrical wavefronts.
Q7 — Huygens' Wave Theory · medium · theory
Light from a very distant source (e.g. a star) reaching the Earth has a wavefront that is essentially:
A. Cylindrical
B. Circular
C. Spherical
D. Plane ✓ Correct
Solution: At a very large distance a small portion of a spherical wavefront is effectively plane, so starlight arrives as plane wavefronts.
Q8 — Huygens' Wave Theory · easy · theory
The direction of propagation of light (a ray) is always:
A. Along the wavefront
B. Perpendicular to the wavefront ✓ Correct
C. At 45° to the wavefront
D. Parallel to the wavefront
Solution: A ray points in the direction of energy flow, which is always perpendicular (normal) to the wavefront.
Q9 — Huygens' Wave Theory · easy · theory
Two points lying on the same wavefront have a phase difference of:
A. 2π/3
B. π
C. Zero ✓ Correct
D. π/2
Solution: All points on a wavefront vibrate in the same phase, so the phase difference between any two of them is zero.
Q10 — Huygens' Wave Theory · medium · theory
In Huygens' construction, the backward-moving secondary wavelet is neglected because:
A. It changes colour
B. It travels faster than light
C. It has a different frequency
D. The intensity of the secondary wavelets is zero in the backward direction (obliquity factor) ✓ Correct
Solution: The amplitude of a secondary wavelet varies with angle (obliquity factor) and is zero in the backward direction, so only the forward envelope is taken.
Q11 — Huygens' Wave Theory · medium · theory
Unlike the corpuscular theory, Huygens' wave theory correctly predicted that the speed of light in a denser medium is:
A. Greater than that in a rarer medium
B. Independent of the medium
C. Less than that in a rarer medium ✓ Correct
D. Equal to that in a rarer medium
Solution: Huygens' construction of refraction gives v_denser < v_rarer, which is experimentally correct (opposite to Newton's prediction).
Q12 — Huygens' Wave Theory · medium · theory
Applying Huygens' principle to refraction gives Snell's law in the form:
A. $\dfrac{\sin i}{\sin r} = \dfrac{n_1}{n_2}$
B. $\dfrac{\sin i}{\sin r} = \dfrac{v_1}{v_2} = \dfrac{n_2}{n_1}$ ✓ Correct
C. $\dfrac{\sin i}{\sin r} = \dfrac{v_2}{v_1}$
D. $\sin i \cdot \sin r = \dfrac{v_1}{v_2}$
Solution: Huygens' construction gives sin i / sin r = v₁/v₂ = n₂/n₁, i.e. Snell's law.
Q13 — Huygens' Wave Theory · medium · theory
When light passes from a rarer to a denser medium, which quantity remains unchanged?
A. Speed
B. Wavelength
C. Frequency ✓ Correct
D. Direction
Solution: Frequency is fixed by the source and does not change; speed and wavelength both decrease in the denser medium.
Q14 — Huygens' Wave Theory · medium · theory
When light enters a denser medium, its wavelength:
A. Remains the same
B. Increases
C. Decreases ✓ Correct
D. Becomes zero
Solution: Since v = νλ and frequency is constant, a decrease in speed means the wavelength decreases (λ_medium = λ_vacuum/n).
Q15 — Huygens' Wave Theory · medium · theory
A plane wavefront is incident on a converging (convex) lens. The emergent wavefront is:
A. Cylindrical
B. Spherical, converging towards the focus ✓ Correct
C. Plane and parallel
D. Spherical, diverging
Solution: A convex lens converts an incident plane wavefront into a spherical wavefront that converges to the focal point.
Q16 — Huygens' Wave Theory · medium · theory
A plane wavefront falls normally on a concave mirror. The reflected wavefront is:
A. Spherical and diverging
B. Cylindrical
C. Spherical and converging ✓ Correct
D. Plane
Solution: A concave mirror converges a plane wavefront into a converging spherical wavefront (towards the focus).
Q17 — Huygens' Wave Theory · medium · theory
A point object is placed at the focus of a convex lens. The wavefront emerging from the lens is:
A. Diverging spherical
B. Converging spherical
C. Cylindrical
D. Plane ✓ Correct
Solution: A diverging spherical wavefront from the focus is rendered plane (parallel) after passing through the convex lens.
Q18 — Huygens' Wave Theory · medium · theory
When a plane wavefront passes through a thin prism, the emergent wavefront is:
A. Unchanged in direction
B. A plane wavefront, but tilted (its normal deviated) ✓ Correct
C. A spherical converging wavefront
D. A cylindrical wavefront
Solution: Different parts of the wavefront travel different thicknesses of glass and are delayed unequally, so the emergent wavefront is still plane but tilted (the beam is deviated).
Q19 — Huygens' Wave Theory · medium · numerical
The wavelength of light in vacuum is 600 nm. In a medium of refractive index 1.5, its wavelength is:
A. 400 nm ✓ Correct
B. 300 nm
C. 600 nm
D. 900 nm
Solution: λ_medium = λ_vacuum / n = 600 / 1.5 = 400 nm.
Q20 — Huygens' Wave Theory · medium · numerical
The speed of light in a medium of refractive index 1.5 is (c = 3 × 10⁸ m/s):
A. $1.5 \times 10^{8}$ m/s
B. $4.5 \times 10^{8}$ m/s
C. $2 \times 10^{8}$ m/s ✓ Correct
D. $3 \times 10^{8}$ m/s
Solution: v = c/n = (3 × 10⁸)/1.5 = 2 × 10⁸ m/s.
Q21 — Huygens' Wave Theory · medium · numerical
Light of frequency 5 × 10¹⁴ Hz travels from air into glass. In the glass its frequency is:
A. $7.5 \times 10^{14}$ Hz
B. $5 \times 10^{14}$ Hz ✓ Correct
C. $3.3 \times 10^{14}$ Hz
D. Zero
Solution: Frequency is determined by the source and does not change on entering a medium; it stays 5 × 10¹⁴ Hz (only speed and wavelength change).
Q22 — Huygens' Wave Theory · medium · numerical
Light travels in medium 1 at 2 × 10⁸ m/s and in medium 2 at 1.5 × 10⁸ m/s. The ratio of the wavelengths λ₁ : λ₂ in the two media is:
A. 2 : 1
B. 3 : 4
C. 4 : 3 ✓ Correct
D. 1 : 1
Solution: Frequency is common, so λ ∝ v. λ₁ : λ₂ = v₁ : v₂ = 2 : 1.5 = 4 : 3.
Q23 — Huygens' Wave Theory · medium · numerical
In going from medium 1 (n₁ = 1.2) to medium 2 (n₂ = 1.6), the ratio of the speed of light v₁ : v₂ is:
A. 16 : 12
B. 6 : 8
C. 4 : 3 ✓ Correct
D. 3 : 4
Solution: v ∝ 1/n, so v₁ : v₂ = n₂ : n₁ = 1.6 : 1.2 = 4 : 3.
Q24 — Huygens' Wave Theory · medium · theory
Huygens' wave theory could satisfactorily explain reflection, refraction, interference and diffraction, but it could NOT explain:
A. The laws of reflection
B. The rectilinear propagation of light (after Fresnel's correction)
C. The photoelectric effect ✓ Correct
D. The refraction of light
Solution: Being a purely wave picture, Huygens' theory could not explain the photoelectric effect, which needs the quantum (photon) nature of light.
Q25 — Huygens' Wave Theory · medium · theory
Because Huygens assumed light to be a longitudinal wave, his theory failed to explain the phenomenon of:
A. Refraction
B. Reflection
C. Polarisation ✓ Correct
D. Interference
Solution: Polarisation requires transverse waves; a longitudinal-wave model cannot explain it, which was a major shortcoming of Huygens' original theory.
Q26 — Huygens' Wave Theory · medium · theory
A plane wavefront is reflected from a plane mirror. The reflected wavefront is:
A. Cylindrical
B. Plane ✓ Correct
C. Spherical diverging
D. Spherical converging
Solution: A plane mirror reflects a plane wavefront as a plane wavefront (only its direction changes).
Q27 — Huygens' Wave Theory · medium · theory
The time taken by light to travel a distance d in a medium of refractive index n equals the time it would take in vacuum to travel a distance (the optical path):
A. nd ✓ Correct
B. d/n
C. d
D. nd²
Solution: Time in medium = d/v = nd/c; in this time light travels a distance c × (nd/c) = nd in vacuum. So the optical path length is nd.
Q28 — Huygens' Wave Theory · medium · theory
A ray of light is incident at 45° on a medium in which it travels at half the speed it had in the first medium. Using sin i / sin r = v₁/v₂, the angle of refraction r satisfies:
A. $\sin r = 2\sin 45^\circ$
B. $\sin r = \dfrac{1}{\sin 45^\circ}$
C. $\sin r = \dfrac{\sin 45^\circ}{2}$ ✓ Correct
D. $\sin r = \sin 45^\circ$
Solution: sin i / sin r = v₁/v₂ = 2, so sin r = sin i / 2 = sin 45° / 2 (the ray bends towards the normal in the slower medium).
Q29 — Huygens' Wave Theory · easy · theory
The physical significance of a wavefront is that it is a surface of:
A. Constant phase ✓ Correct
B. Constant amplitude only
C. Zero intensity
D. Constant speed only
Solution: A wavefront is a surface over which the phase of the wave is constant at a given instant.
Q30 — Huygens' Wave Theory · medium · theory
The concept that finally corrected Huygens' theory to explain rectilinear propagation and diffraction quantitatively was:
A. The addition of the principle of interference by Fresnel ✓ Correct
B. The uncertainty principle
C. The corpuscular theory of Newton
D. The quantum theory of Planck
Solution: Fresnel combined Huygens' construction with the principle of interference of the secondary wavelets, successfully explaining rectilinear propagation and diffraction.