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Wavefronts and Huygens principle: NEET MCQs with answers

50 questions on this topic of Optics (NEET 2027 syllabus). Here are 12; tap one to see its answer and explanation.

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easy

1. Which of the following physical quantities determines the locus of all points having the same phase of oscillation in a wave propagating through a medium?

  1. Ray vector
  2. Wavefront
  3. Poynting flux
  4. Wavepacket envelope
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Answer: (B) Wavefront

A wavefront is defined as the continuous locus of all adjacent points having the same phase of oscillation. Rays are lines perpendicular to the wavefront pointing along the direction of energy propagation.

medium

2. A plane wavefront is incident on a thin prism of apex angle A and refractive index μ. If the width of the incident plane wavefront is b, the tilt angle acquired by the emerging wavefront relative to the incident wavefront is:

  1. (μ - 1) A
  2. μ A
  3. A / (μ - 1)
  4. (μ + 1) A
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Answer: (A) (μ - 1) A

The emerging wavefront is tilted by an angle equal to the deviation produced by the prism. For a thin prism of small apex angle A, the angle of deviation is given by δ = (μ - 1) A.

hard

3. A point source of monochromatic light is situated at the bottom of a liquid pool of depth d and refractive index μ. The wavefront emerging into the air through the circular patch of transmission at the liquid-air surface is:

  1. A spherical wavefront appearing to diverge strictly from a single virtual point source
  2. A single flat plane wavefront parallel to the liquid surface
  3. A set of concentric cylindrical wavefronts
  4. Portion of a non-spherical curved wavefront expanding into air
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Answer: (D) Portion of a non-spherical curved wavefront expanding into air

Due to spherical aberration during refraction at a plane interface, rays emerging at different incident angles do not appear to diverge from a single unique virtual point. Consequently, the emerging wavefront in air is curved but non-spherical.

medium

4. A plane wavefront is incident obliquely on a plane boundary separating two transparent media of refractive indices n₁ and n₂ (with n₂ > n₁). If the speed of light in the first medium is v₁ and in the second is v₂, what is the ratio of the width of the refracted beam to the width of the incident beam?

  1. sin r / sin i
  2. cos i / cos r
  3. cos r / cos i
  4. sin i / sin r
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Answer: (C) cos r / cos i

Let AB be the incident wavefront of width w₁ and CD be the refracted wavefront of width w₂ across common boundary interface BC. In triangle ABC, cos i = w₁ / BC, and in triangle BCD, cos r = w₂ / BC. Dividing these gives w₂ / w₁ = cos r / cos i.

easy

5. Two points P and Q lie on the same wavefront of a light wave propagating in a homogeneous isotropic medium. The phase difference between the oscillations at P and Q is:

  1. π / 2
  2. π
  3. 0
  4. 2π
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Answer: (C) 0

By definition, a wavefront is the locus of all points in a medium that oscillate in the same phase. Therefore, any two points lying on the exact same wavefront have a phase difference of zero.

hard

6. A plane wavefront is incident obliquely on a plane interface separating two media with refractive indices n₁ and n₂ (n₂ > n₁). Let w₁ be the width of the incident beam and w₂ be the width of the refracted beam. The ratio w₂ / w₁ is:

  1. cos i / cos r
  2. cos r / cos i
  3. sin i / sin r
  4. sin r / sin i
Show answer and explanation

Answer: (B) cos r / cos i

From the geometry of the refracted beam, the width of the incident beam is w₁ = AB cos i and the width of the refracted beam is w₂ = AB cos r, where AB is the common intercept on the interface. Therefore, the ratio w₂ / w₁ = cos r / cos i.

easy

7. A point source of light is placed at the center of curvature of a concave reflecting mirror. Immediately after reflection from the mirror, the reflected wavefront is:

  1. A cylindrical wavefront converging to the principal axis
  2. A plane wavefront propagating parallel to the principal axis
  3. A spherical wavefront diverging from the focus
  4. A spherical wavefront converging towards the center of curvature
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Answer: (D) A spherical wavefront converging towards the center of curvature

Rays emanating from the center of curvature strike the concave mirror normally and reflect back along their paths. Therefore, the reflected rays converge back to the center of curvature, making the reflected wavefront spherical and converging towards the center of curvature.

medium

8. Consider the following statements regarding wave propagation according to wave optics: Statement I: The phase difference between any two arbitrary points lying on the same wavefront is zero. Statement II: The time taken by light to travel from one given wavefront to another along any ray is always the same. Choose the correct option:

  1. Both Statement I and Statement II are correct
  2. Statement I is correct but Statement II is incorrect
  3. Statement I is incorrect but Statement II is correct
  4. Both Statement I and Statement II are incorrect
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Answer: (A) Both Statement I and Statement II are correct

Statement I is true because every point on a wavefront has identical phase by definition, making their phase difference zero. Statement II is also true because rays represent paths orthogonal to wavefronts, and according to wave theory, the optical path and transit time between any two successive wavefronts along different rays are identical.

medium

9. According to Huygens principle, each point on a wavefront:

  1. Acts as a source of secondary wavelets, whose forward envelope gives the new wavefront
  2. Absorbs the wave
  3. Emits only backward wavelets
  4. Moves perpendicular to the ray
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Answer: (A) Acts as a source of secondary wavelets, whose forward envelope gives the new wavefront

Huygens principle: every point of a wavefront is a source of secondary spherical wavelets; the common forward tangent (envelope) after time t is the new wavefront.

NCERT Class 12

hard

10. Statement I: A parallel beam of light corresponds to a plane wavefront. Statement II: As a spherical wavefront travels infinitely far from a point source, its radius of curvature tends to infinity, effectively becoming a plane wavefront. Choose the correct option:

  1. Both Statement I and Statement II are correct and Statement II explains Statement I
  2. Both Statement I and Statement II are correct but Statement II does not explain Statement I
  3. Statement I is true but Statement II is false
  4. Statement I is false but Statement II is true
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Answer: (A) Both Statement I and Statement II are correct and Statement II explains Statement I

A parallel beam of light consists of parallel rays, which by definition are orthogonal to flat surfaces, i.e., plane wavefronts. A small portion of a spherical wavefront originating from a distant point source has an extremely large radius of curvature (R → ∞), so it approximates a plane wavefront, which corresponds directly to a parallel beam. Hence both statements are true and Statement II explains Statement I.

medium

11. A plane wavefront is incident on a prism of base length L and apex angle A. Due to the variation in glass thickness traversed across the beam, different parts of the wavefront undergo different time delays. If the time taken by the wave to traverse the base of the prism is t₁ and through the apex is t₂ (neglecting air path differences), the wavefront tilts because:

  1. The frequency of the light wave decreases near the base of the prism
  2. t₁ < t₂, causing the lower portion of the wavefront to advance ahead of the upper portion
  3. t₁ > t₂, causing the lower portion of the wavefront to lag behind the upper portion
  4. The wavelength increases inside the thicker glass section near the base
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Answer: (C) t₁ > t₂, causing the lower portion of the wavefront to lag behind the upper portion

Light travels slower in glass (v = c/n) than in air. Since the base has a finite thickness of glass while the apex has negligible thickness, light passing near the base takes a longer time (t₁ > t₂) and lags behind, thereby tilting the emergent wavefront towards the base.

easy

12. A plane wavefront is incident on a convex mirror. Immediately after reflection, the reflected wavefront is:

  1. Diverging spherical
  2. Converging spherical
  3. Cylindrical
  4. Plane
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Answer: (A) Diverging spherical

When a plane wavefront strikes a convex mirror, the central part strikes the mirror earlier than the edges and reflects back first. Therefore, the reflected wavefront is convex toward the direction of propagation, appearing to diverge from the virtual focus as a diverging spherical wavefront.

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