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NEET Physics: Interference and Young's double-slit experiment Practice Questions

13 free multiple-choice questions on Interference and Young's double-slit experiment (Wave Optics) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. The intensity of the light observed at a specific point in the interference pattern depends on the phase relationship between the waves. If the phase difference between the waves is 2πn, where n is an integer, the interference will be:

    • AMinimum destructive interference
    • BMaximum constructive interference
    • CNo interference pattern
    • DZero intensity
    Show answer & explanation

    Correct answer: B — Maximum constructive interference

    When the phase difference is an integer multiple of 2π (2πn), the waves are perfectly in phase, resulting in maximum constructive interference (maximum intensity).

  2. Q2. The relationship between the path difference (Δx) and the phase difference (φ) of two waves is given by:

    • Aφ= Δx / λ
    • Bφ= 2π(Δx / λ)
    • Cφ= 2πΔx
    • Dφ = λ / Δ x
    Show answer & explanation

    Correct answer: B — φ= 2π(Δx / λ)

    The phase difference (φ) is directly proportional to the path difference (Δx) divided by the wavelength (λ), and the full phase difference is 2π times this ratio.

  3. Q3. What condition must be satisfied for the formation of a stable interference pattern in the double-slit experiment?

    • AThe sources must be incoherent
    • BThe sources must be polychromatic
    • CThe sources must be parallel
    • DThe sources must be coherent
    Show answer & explanation

    Correct answer: D — The sources must be coherent

    Interference patterns only form when the sources are coherent (same frequency and phase relationship).

  4. Q4. For two coherent sources producing interference, the condition for constructive interference is when the phase difference between the waves is:

    • A0 or 2nπ radians
    • B2π radians
    • Cπ/2 radians
    • Dπ radians
    Show answer & explanation

    Correct answer: A — 0 or 2nπ radians

    Constructive interference occurs when the phase difference between the waves is an integer multiple of 2π radians, meaning the waves are in phase.

  5. Q5. When the path difference between two interfering waves is an integral multiple of the wavelength, the interference will be:

    • APurely constructive
    • BPurely destructive
    • CZero intensity
    • DIrregular
    Show answer & explanation

    Correct answer: A — Purely constructive

    Constructive interference occurs when the path difference (Δx) is an integer multiple of the wavelength (λ), i.e., Δx = nλ.

  6. Q6. In a double-slit experiment, the distance between the centers of two adjacent bright fringes is known as:

    • APath difference
    • BWavelength of light
    • CFringe width
    • DSlit width
    Show answer & explanation

    Correct answer: A — Path difference

    The distance between two consecutive bright fringes (or dark fringes) in a double-slit interference pattern is called the fringe width (β or Δy).

  7. Q7. Consider two slits separated by a distance d. If the light travels a path difference of 2λ, what type of interference is observed at the screen?

    • AComplete destructive interference
    • BPartial interference
    • CNo interference
    • DComplete constructive interference
    Show answer & explanation

    Correct answer: D — Complete constructive interference

    A path difference of 2λ corresponds to a phase difference of 2π, resulting in complete constructive interference.

  8. Q8. The fringe width (β) in a double-slit experiment is directly proportional to:

    • AThe slit separation (d)
    • BThe wavelength (λ)
    • CThe distance between the slits (d)
    • DThe order of the fringe (n)
    Show answer & explanation

    Correct answer: B — The wavelength (λ)

    The fringe width is given by β= λL/d. Assuming L and d are constant, the fringe width is directly proportional to the wavelength (λ).

  9. Q9. In a double-slit experiment, the path difference between the waves arriving at a point is directly proportional to:

    • AThe amplitude of the waves
    • BThe distance between the slits
    • CThe wavelength of the light
    • DThe angle of observation
    Show answer & explanation

    Correct answer: B — The distance between the slits

    The path difference (Δx) is directly proportional to the distance between the slits (d) and the angle of observation. For a fixed geometry, the path difference is proportional to d sin θ (or dsin θ in the small angle approximation, which depends on the geometry).

  10. Q10. What is the relationship between the path difference and the phase difference in interference?

    • APath difference is equal to the phase difference
    • BThe relationship is dependent on wavelength
    • CPath difference is half the phase difference
    • DPhase difference is twice the path difference
    Show answer & explanation

    Correct answer: B — The relationship is dependent on wavelength

    The phase difference (φ) is directly proportional to the path difference (Δx), specifically φ= 2π/λ Δx.

  11. Q11. For two coherent monochromatic sources, if the wavelength of light is halved, what happens to the fringe separation in a double-slit setup?

    • AIt becomes four times
    • BIt halves
    • CIt doubles
    • DIt remains the same
    Show answer & explanation

    Correct answer: A — It becomes four times

    The fringe separation (β) is directly proportional to the wavelength (λ). If λ is halved, the fringe separation becomes four times larger. (β∝ λ)

  12. Q12. In Young's double-slit experiment, the intensity of the resultant pattern is maximum when the condition for:

    • ADestructive interference
    • BMaximum phase shift
    • CConstructive interference
    • DZero path difference
    Show answer & explanation

    Correct answer: C — Constructive interference

    The intensity of the interference pattern is maximum when constructive interference occurs, which happens when the path difference results in the waves being in phase.

  13. Q13. In a Young's double-slit experiment involving two coherent monochromatic sources separated by a distance d, the fringe width (β) observed on a screen placed at a distance D from the slits is given by the formula β= λD/d. If the wavelength (λ) and the distance (D) remain constant, what happens to the fringe width (β) if the separation between the slits (d) is doubled?

    • Aβ remains unchanged
    • Bβ is halved
    • Cβ is quadrupled
    • Dβ is doubled
    Show answer & explanation

    Correct answer: B — β is halved

    The fringe width β is inversely proportional to the slit separation d (β∝ 1/d). If d is doubled (2d), the fringe width β will be halved (β' = λD / (2d) = β/ 2).

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