Standing Sound Waves, Organ Pipes and Resonance Tubes questions with solutions

Showing 1–10 of 31 questions

• Multi-correctmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  Which statements are correct for an ideal organ pipe closed at one end?

  Select all that apply

  • Option A

    The closed end is a displacement node.

  • Option B

    The open end is a displacement antinode.

  • Option C

    Only odd multiples of the fundamental frequency occur.

  • Option D

    The resonance frequencies are fₙ = (2n-1)v/(4Lₑ).

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• MCQmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  In a resonance experiment, two air columns closed at one end have lengths 100 cm and 120 cm. Their fundamental frequencies produce 15 beats per second. The velocity of sound is:

  Options

  • Option A

    340 m/s

  • Option B

    335 m/s

  • Option C

    370 m/s

  • Option D

    360 m/s

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• NumericmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  A closed organ pipe 150 cm long gives 7 beats per second with an open organ pipe of length 350 cm, both vibrating in fundamental mode. The velocity of sound is ________ m/s.

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• NumericmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  A 500 Hz tuning fork produces two successive resonances in a resonance tube at air-column lengths 16 cm and 50 cm. Assuming the same end correction at both resonances, if the speed of sound is N m/s, find N.

  Your answer

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• MCQeasyWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  A closed organ pipe is filled with water by one-fifth of its original volume. The percentage change in its fundamental frequency is:

  Options

  • Option A

    20%

  • Option B

    -25%

  • Option C

    25%

  • Option D

    -20%

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• MCQeasyWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  A uniform organ pipe of effective length Lₑ is open at both ends. Which expression gives its allowed resonance frequencies?

  Options

  • Option A

    fₙ = nv/(2Lₑ), n = 1,2,3,...

  • Option B

    fₙ = (2n-1)v/(4Lₑ)

  • Option C

    fₙ = nv/(4Lₑ)

  • Option D

    Only odd harmonics are possible.

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• MCQmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  An organ pipe resonates at 400 Hz in a fixed mode when it contains an ideal gas at 300 K. The same gas is heated to 363 K while the same mode remains excited. Neglect thermal expansion of the pipe. What is the new resonance frequency?

  Options

  • Option A

    420 Hz

  • Option B

    440 Hz

  • Option C

    484 Hz

  • Option D

    500 Hz

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• MCQmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  A resonance tube has an unknown end correction. A 500 Hz tuning fork gives first resonance at air-column length 12 cm, while a 250 Hz tuning fork gives first resonance at 29 cm in the same tube. What is the speed of sound?

  Options

  • Option A

    320 m/s

  • Option B

    330 m/s

  • Option C

    340 m/s

  • Option D

    350 m/s

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• MCQeasyWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  An organ pipe has geometrical length L, and the end correction for each open end is e. Which pair correctly gives the effective length of an open pipe and a pipe closed at one end?

  Options

  • Option A

    Open pipe: L+e; closed pipe: L+2e

  • Option B

    Open pipe: L+2e; closed pipe: L+e

  • Option C

    Both pipes: L+2e

  • Option D

    Both pipes: L+e

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• Multi-correctmediumWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  Which statements are correct for a resonance-column experiment using a tube that is open at the top and closed by a water surface at the bottom?

  Select all that apply

  • Option A

    The water surface behaves approximately as a displacement node.

  • Option B

    The open end behaves approximately as a displacement antinode located slightly outside the geometrical end.

  • Option C

    The difference between two successive resonance lengths is λ/2.

  • Option D

    For the first two resonances, e = (l₂-3l₁)/2.

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