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NEET Physics: speed of travelling wave Practice Questions

15 free multiple-choice questions on speed of travelling wave (Oscillations and Waves) 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. In a medium, the speed of a longitudinal wave is determined primarily by which factor?

    • AThe amplitude of the displacement
    • BThe restoring force per unit volume
    • CThe velocity of the particles of the medium
    • DThe density of the medium
    Show answer & explanation

    Correct answer: C — The velocity of the particles of the medium

    For mechanical waves (like sound waves) in a medium, the wave speed is dependent on the properties of the medium itself, specifically the velocity of the particles through which the wave travels. In a non-dispersive medium, this is related to the material's elastic properties.

  2. Q2. Which of the following physical quantities determines the speed of a wave traveling through a specific medium?

    • AThe type of oscillation
    • BThe amplitude of the wave
    • CThe properties of the medium (e.g., density, elasticity)
    • DThe phase difference
    Show answer & explanation

    Correct answer: C — The properties of the medium (e.g., density, elasticity)

    The speed of a wave depends entirely on the medium through which it is travelling. Properties like density and elasticity of the medium govern the wave speed.

  3. Q3. Which property of the medium primarily determines the speed at which a mechanical wave propagates through it?

    • AThe color of the medium
    • BThe elasticity (stiffness) of the medium
    • CThe amplitude of the wave
    • DThe density of the medium
    Show answer & explanation

    Correct answer: B — The elasticity (stiffness) of the medium

    The speed of a mechanical wave is dependent on the physical properties of the medium, primarily its elastic properties (stiffness) and density.

  4. Q4. A transverse wave is characterized by oscillations that are perpendicular to the direction of wave propagation. What type of motion describes the particles of the medium during transverse wave travel?

    • AOscillations parallel to propagation
    • BOscillations perpendicular to the direction of propagation
    • COscillations along the direction of propagation
    • DStatic displacement
    Show answer & explanation

    Correct answer: B — Oscillations perpendicular to the direction of propagation

    In a transverse wave, the medium particles oscillate perpendicularly to the direction the wave energy is moving.

  5. Q5. In a given medium, the speed of sound is generally faster in materials that are:

    • AMore dense and less elastic
    • BLess dense and more elastic
    • CLess dense and less elastic
    • DMore dense and more elastic
    Show answer & explanation

    Correct answer: B — Less dense and more elastic

    The speed of sound (a mechanical wave) is directly related to the stiffness (elasticity) and density of the medium.

  6. Q6. The speed of a mechanical wave propagating along a string is directly proportional to which of the following physical properties of the string?

    • AAmplitude of the wave
    • BFrequency of oscillation
    • CWavelength of the wave
    • DTension in the string
    Show answer & explanation

    Correct answer: C — Wavelength of the wave

    The speed of a transverse wave on a string is given by v = √(T/μ), where T is the tension and μ is the linear mass density. Therefore, it is directly related to the tension and inversely related to the mass per unit length (which is implied by the tension/density relationship). In a simple context, higher tension leads to faster wave propagation.

  7. Q7. For a wave travelling in a medium, if the wavelength is inversely proportional to the speed of the wave, what is the relationship between frequency and speed?

    • AFrequency is inversely proportional to speed
    • BFrequency is the square of speed
    • CFrequency is directly proportional to speed
    • DFrequency is independent of speed
    Show answer & explanation

    Correct answer: A — Frequency is inversely proportional to speed

    Since v = fλ, if λ is inversely proportional to v (λ ∝ 1/v), then v = f/(1/v) = fv. Thus, f is directly proportional to v. (The options test the inverse relationship based on the core formula).

  8. Q8. If the wavelength of a wave traveling at a constant speed is increased, what must happen to its frequency?

    • AThe frequency must decrease
    • BThe frequency must increase
    • CThe frequency remains unchanged
    • DThe wave speed must decrease
    Show answer & explanation

    Correct answer: A — The frequency must decrease

    Since the wave speed (v) is constant, using v = fλ, if λ increases, f must decrease proportionally to keep the product constant.

  9. Q9. If the frequency of a wave remains constant, how will the speed of the wave change if its wavelength is doubled?

    • AThe speed will be doubled
    • BThe speed will be quadrupled
    • CThe speed will be halved
    • DThe speed will remain the same
    Show answer & explanation

    Correct answer: A — The speed will be doubled

    Since v = fλ and f is constant, if λ is doubled, the speed v must also be doubled.

  10. Q10. If the frequency of a wave is doubled while the medium remains the same, what happens to the wavelength of the wave?

    • AThe wavelength is halved
    • BThe wavelength becomes four times
    • CThe wavelength is doubled
    • DThe wavelength remains the same
    Show answer & explanation

    Correct answer: A — The wavelength is halved

    Since the wave speed (v) remains constant (v = fλ), if frequency (f) is doubled, the wavelength (λ) must also be doubled to maintain the relationship.

  11. Q11. For any wave, the relationship between its speed (v), frequency (f), and wavelength (λ) is given by the formula:

    • Av = f / λ
    • Bv = λ/ f
    • Cv = f λ
    • Dv = λ² / f
    Show answer & explanation

    Correct answer: C — v = f λ

    The fundamental equation relating wave speed, frequency, and wavelength is v = f λ.

  12. Q12. Which physical quantity determines the speed of a wave traveling through a specific medium?

    • AThe frequency of the source oscillation
    • BThe wavelength of the wave
    • CThe amplitude of the wave
    • DThe properties of the medium itself
    Show answer & explanation

    Correct answer: B — The wavelength of the wave

    The speed of a wave (v) is determined by the characteristics of the medium it travels through (e.g., its elastic properties and density).

  13. Q13. If two waves, Wave 1 and Wave 2, are traveling simultaneously through the same medium, what principle governs the resultant wave motion (superposition)?

    • AThe waves travel at different speeds
    • BThe resultant speed is the sum of the individual speeds
    • CThe resultant motion is determined by the amplitude difference
    • DThe resultant speed depends on the difference in frequencies
    Show answer & explanation

    Correct answer: B — The resultant speed is the sum of the individual speeds

    When waves travel in the same medium, their resultant motion is determined by the principle of superposition, meaning the resulting disturbance is the sum of the individual displacements.

  14. Q14. If the wavelength of a wave is doubled while keeping the wave speed constant, how does the frequency of the wave change?

    • AThe frequency is doubled
    • BThe frequency is halved
    • CThe frequency becomes four times larger
    • DThe frequency remains the same
    Show answer & explanation

    Correct answer: B — The frequency is halved

    Since v = fλ is constant, if λ is doubled, f must be halved to maintain the equality.

  15. Q15. A pulse travels at a constant speed through a material. If the pulse has a frequency of 10 Hz and a wavelength of 2 meters, what is the speed of the pulse?

    • A5 m/s
    • B2 m/s
    • C10 m/s
    • D20 m/s
    Show answer & explanation

    Correct answer: D — 20 m/s

    Using the formula v = fλ, the speed is v = 10 Hz × 2 m = 20 m/s.

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