reflection ,refraction of string wave and superposition of wave questions with solutions

Showing 1–10 of 27 questions

• NumericmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Two strings under the same tension have linear densities μ₁ = μ and μ₂ = 4μ. A displacement wave of amplitude 6 mm is incident from string 1. If the magnitude of the reflected displacement amplitude is N mm, find N.

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• MCQmediumWave Motionreflection ,refraction of string wave and superposition of wave

  A transverse wave travels from a heavier string segment to a lighter string segment. The two strings are joined smoothly and remain under the same tension. Which statement is correct?

  Options

  • Option A

    The reflected displacement wave undergoes a phase reversal of π.

  • Option B

    The reflected displacement wave does not undergo a phase reversal.

  • Option C

    The transmitted wave has zero amplitude.

  • Option D

    The transmitted frequency is smaller than the incident frequency.

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• Multi-correctmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Which statements are correct for the superposition of two coherent sinusoidal waves having intensities I₁ and I₂ and phase difference φ?

  Select all that apply

  • Option A

    I = I₁+I₂+2√(I₁I₂) cosφ

  • Option B

    Iₘₐₓ = (√I₁+√I₂)²

  • Option C

    Iₘᵢₙ = (√I₁-√I₂)²

  • Option D

    Complete destructive interference requires equal amplitudes.

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• MCQmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Two semi-infinite strings of linear mass densities μ₁ and μ₂ are joined and maintained under the same tension. A transverse wave is incident from string 1 towards string 2. If μ₂ > μ₁, which statement about the reflected displacement wave is correct?

  Options

  • Option A

    There is no reflected wave.

  • Option B

    The reflected displacement wave undergoes a phase change of π.

  • Option C

    The reflected wave always has zero phase difference from the incident wave.

  • Option D

    The transmitted displacement wave undergoes a phase change of π.

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• MCQeasyWave Motionreflection ,refraction of string wave and superposition of wave

  A sinusoidal transverse wave reaches a perfectly free end of a string located at x = 0. The incident wave is yᵢ = A cos(kx-ωt). Which expression correctly represents the reflected displacement wave?

  Options

  • Option A

    yᵣ = -A cos(kx+ωt)

  • Option B

    yᵣ = A cos(kx+ωt)

  • Option C

    yᵣ = A cos(kx-ωt)

  • Option D

    yᵣ = -A sin(kx+ωt)

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• NumericmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Two strings under the same tension have linear densities μ₁ = μ and μ₂ = 4μ. A displacement wave of amplitude 6 mm is incident from string 1. If the transmitted displacement amplitude is N mm, find N.

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• MCQmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Two coherent waves, each having intensity I₀, superpose at a point with phase difference φ. Which expression gives the resultant intensity I?

  Options

  • Option A

    I = 2I₀ cosφ

  • Option B

    I = 4I₀ cos²(φ/2)

  • Option C

    I = 2I₀ sin²(φ/2)

  • Option D

    I = I₀(1+cos²φ)

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• NumericmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Two coherent waves have maximum and minimum resultant intensities satisfying Iₘₐₓ/Iₘᵢₙ = 9. If the larger individual intensity is N times the smaller individual intensity, find N.

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• A/RmediumWave Motionreflection ,refraction of string wave and superposition of wave

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  When a transverse wave passes from one string segment into another segment of different linear density, its frequency remains unchanged.

  Reason

  The common junction has one unique time dependence, so the incident, reflected and transmitted waves must all have the same angular frequency.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• MCQmediumWave Motionreflection ,refraction of string wave and superposition of wave

  A sinusoidal wave of frequency f travels from a string of linear density μ₁ to another string of linear density μ₂. Both strings are under the same tension. Which relation correctly gives the ratio of transmitted wavelength λ₂ to incident wavelength λ₁?

  Options

  • Option A

    λ₂/λ₁ = √(μ₂/μ₁)

  • Option B

    λ₂/λ₁ = √(μ₁/μ₂)

  • Option C

    f₂/f₁ = √(μ₁/μ₂)

  • Option D

    f₂ = f₁ and λ₂ = λ₁

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