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

Showing 1–10 of 27 questions

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

  Two coherent sinusoidal waves of intensities I₁ and I₂ superpose at a point with phase difference φ. Which expression gives the resultant intensity?

  Options

  • Option A

    I = I₁+I₂

  • Option B

    I = I₁+I₂+2√(I₁I₂) cosφ

  • Option C

    I = √(I₁²+I₂²)

  • Option D

    I = (I₁+I₂) cosφ

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

  Two strings are under the same tension and have linear densities μ₁ = 9μ and μ₂ = μ. A wave of displacement amplitude 8 mm is incident from string 1 onto string 2. If the reflected displacement amplitude is N mm, find N.

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

  A wave travelling on string 1 is partially reflected at a junction with string 2. The two strings have impedances Z₁ and Z₂. What fraction of the incident average power is reflected?

  Options

  • Option A

    (Z₁-Z₂)/(Z₁+Z₂)

  • Option B

    [(Z₁-Z₂)/(Z₁+Z₂)]²

  • Option C

    4Z₁Z₂/(Z₁+Z₂)²

  • Option D

    Z₂/Z₁

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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

  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 equal individual intensity I₀ and phase difference 120°. If their resultant intensity is NI₀, find N.

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

  A sinusoidal transverse wave of displacement amplitude Aᵢ is incident from string 1 onto string 2. The strings are under the same tension and have wave impedances Z₁ and Z₂. Which pair correctly gives the reflected displacement amplitude Aᵣ and transmitted displacement amplitude Aₜ, including the sign of Aᵣ?

  Options

  • Option A

    Aᵣ = [(Z₂-Z₁)/(Z₁+Z₂)]Aᵢ , Aₜ = [2Z₂/(Z₁+Z₂)]Aᵢ

  • Option B

    Aᵣ = [(Z₁-Z₂)/(Z₁+Z₂)]Aᵢ , Aₜ = [2Z₁/(Z₁+Z₂)]Aᵢ

  • Option C

    Aᵣ = [(Z₁+Z₂)/(Z₁-Z₂)]Aᵢ , Aₜ = Aᵢ

  • Option D

    Aᵣ = 0 , Aₜ = Aᵢ

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

  A transverse wave travels from a string of linear density μ to another string of density 4μ under the same tension. If the reflected average-power fraction is N/9, find N.

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

  Two strings are under the same tension and have linear densities μ₁ = 9μ and μ₂ = μ. A wave of displacement amplitude 8 mm is incident from string 1. If the transmitted displacement amplitude is N mm, find N.

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