Standing Waves on Strings, Harmonics and Sonometer questions with solutions

Showing 1–10 of 27 questions

• MCQeasyWave MotionStanding Waves on Strings, Harmonics and Sonometer

  A uniform stretched string of length L is fixed at both ends and transverse waves on it have speed v. Which expression gives the frequency fₙ of the nth harmonic?

  Options

  • Option A

    fₙ = nv/(2L)

  • Option B

    fₙ = v/(4nL)

  • Option C

    fₙ = (2n-1)v/(4L)

  • Option D

    fₙ = v/(2nL)

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• NumericeasyWave MotionStanding Waves on Strings, Harmonics 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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• MCQeasyWave MotionStanding Waves on Strings, Harmonics and Sonometer

  For the stationary wave y = 2A sin(kx) cos(ωt), at which positions are the displacement antinodes located?

  Options

  • Option A

    x = nλ/2

  • Option B

    x = (2n+1)λ/4

  • Option C

    x = nλ

  • Option D

    x = (2n+1)λ/2

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• NumericmediumWave MotionStanding Waves on Strings, Harmonics and Sonometer

  A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be __________ cm.

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  JEE Mains8 April 2023Shift 2Evening Shift

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• A/RmediumWave MotionStanding Waves on Strings, Harmonics and Sonometer

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

  Assertion

  An ideal stationary wave on a string has zero net average energy transport along the string.

  Reason

  A stationary wave can be regarded as the superposition of two equal-amplitude progressive waves carrying equal average powers in opposite directions.

  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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• NumericeasyWave MotionStanding Waves on Strings, Harmonics and Sonometer

  A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of the wire with fundamental frequency of 600 Hz under same tension _______ cm.

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  JEE Mains 2024 05 Apr Evening Shift

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• IntegermediumWave MotionStanding Waves on Strings, Harmonics and Sonometer

  In a sonometer experiment, a 180 g mass gives fundamental frequency 30 Hz. If another mass m gives frequency 50 Hz, find m in grams.

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  13 April 2023 Evening Shift

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• MCQeasyWave MotionStanding Waves on Strings, Harmonics and Sonometer

  A stretched string fixed at both ends vibrates in its nth harmonic. How many displacement nodes and antinodes are present, including the two fixed ends as nodes?

  Options

  • Option A

    n nodes and n+1 antinodes

  • Option B

    n+1 nodes and n antinodes

  • Option C

    2n nodes and n antinodes

  • Option D

    n nodes and 2n antinodes

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• MCQmediumWave MotionStanding Waves on Strings, Harmonics and Sonometer

  A string of length L is fixed at one end and perfectly free at the other end. Transverse waves on the string have speed v. Which expression gives the allowed natural frequencies?

  Options

  • Option A

    fₙ = nv/(2L)

  • Option B

    fₙ = (2n-1)v/(4L)

  • Option C

    fₙ = nv/(4L)

  • Option D

    fₙ = (2n+1)v/(2L)

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• NumericeasyWave MotionStanding Waves on Strings, Harmonics and Sonometer

  A sonometer wire has vibrating length 1 m, tension 100 N and linear mass density 0.01 kg/m. If its fundamental frequency is N Hz, find N.

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