Wave Motion questions with solutions

Showing 1–10 of 481 questions

• MCQeasyWave Motionquestion based on string wave

  A stretched string has tension T and linear density μ. A vibrator of fixed frequency f generates a sinusoidal transverse wave on the string. Which expression gives the wavelength λ?

  Options

  • Option A

    f√(T/μ)

  • Option B

    (1/f)√(T/μ)

  • Option C

    f√(μ/T)

  • Option D

    T/(μf)

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• NumericmediumWave Motionquestion based on string wave

  A horizontal string of linear density 0.01 kg/m is stretched by a hanging mass of 10 kg over a smooth pulley. A vibrator of frequency 50 Hz produces transverse waves on the horizontal part of the string. Take g = 10 m/s². If the wavelength is N/5 metres, find N.

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• MCQmediumWave Motiondoppler effect

  A source and an observer move directly towards each other through still air. The source speed is uₛ, the observer speed is uₒ, the source frequency is f and the speed of sound is v. Which expression gives the frequency heard by the observer?

  Options

  • Option A

    f×(v+uₒ)/(v-uₛ)

  • Option B

    f×(v-uₒ)/(v+uₛ)

  • Option C

    f×(v-uₛ)/(v+uₒ)

  • Option D

    f×v/(v-uₛ-uₒ)

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• MCQmediumWave Motion

  The equation of a wave is given (all quantity expressed in SI units) Y = 0.05 sin 10π (t - 0.01x) along the x-axis. The magnitude of phase difference between the points separated by a distance of 10 m along x-axis is:

  Options

  • Option A

    π/2

  • Option B

    π

  • Option C

    2π

  • Option D

    π/4

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• MCQmediumWave Motion

  A progressive wave is travelling in a string as shown. Then which of the following statement about KE and potential energy of the elements A and B is true?

  

  Options

  • Option A

    For point A: kinetic energy is maximum and potential energy is min.

  • Option B

    For point B: kinetic energy is minimum and potential energy is min.

  • Option C

    For point A: kinetic energy is minimum and potential energy is max.

  • Option D

    For point B: kinetic energy is minimum and potential energy is max.

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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 Motionsound wave

  A longitudinal sound wave travels in the positive x-direction through a fluid of equilibrium density ρ₀ and bulk modulus B. The longitudinal displacement of the particles is s = sₘ cos(kx-ωt). Which expression correctly represents the excess pressure Δp produced by the sound wave?

  Options

  • Option A

    Δp = -Bksₘ cos(kx-ωt)

  • Option B

    Δp = Bksₘ sin(kx-ωt)

  • Option C

    Δp = -Bksₘ sin(kx-ωt)

  • Option D

    Δp = Bωsₘ cos(kx-ωt)

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• Multi-correctmediumWave Motion

  Which of the following statement(s) are TRUE about a stationary wave?

  Select all that apply

  • Option A

    No particle will move with same amplitude.

  • Option B

    All particles between two successive nodes reach their extreme position together in phase.

  • Option C

    Displacement and velocity nodes co-exist.

  • Option D

    Power can get transferred through nodes.

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• Multi-correctmediumWave Motion

  An string has resonant frequencies given by 1001 Hz and 2639 Hz.

  Select all that apply

  • Option A

    If the string is fixed at one end only, 910 Hz can be a resonance frequency.

  • Option B

    If the string is fixed at one end only, 1911 Hz can be a resonance frequency.

  • Option C

    If the string is fixed at both the ends, 364 Hz can be one of the resonant frequency.

  • Option D

    1001 Hz is definitely not the fundamental frequency of the string.

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• NumericeasyWave Motionstationary wave of string and sonometer

  A stationary wave on a string has wavelength 0.80 m. If the distance between two consecutive displacement nodes is N cm, find N.

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