organ pipe and resonance tube questions with solutions

Showing 1–10 of 18 questions

• MCQeasyWave Motionorgan pipe and resonance tube

  A uniform organ pipe is closed at one end and open at the other. Which expression gives its allowed resonance frequencies?

  Options

  • Option A

    fₙ = nv/(2Lₑ)

  • Option B

    fₙ = (2n-1)v/(4Lₑ)

  • Option C

    fₙ = nv/(4Lₑ)

  • Option D

    Only even harmonics are allowed.

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• Multi-correctmediumWave Motionorgan pipe and resonance tube

  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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• NumericmediumWave Motionorgan pipe and resonance tube

  A pipe closed at one end has geometrical length 0.84 m. The end correction at its single open end is 1 cm. If the speed of sound is 340 m/s and the fundamental frequency is N Hz, find N.

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• MCQmediumWave Motionorgan pipe and resonance tube

  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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• A/RmediumWave Motionorgan pipe and resonance tube

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

  Assertion

  An ideal open organ pipe can support the second harmonic, whereas an ideal organ pipe closed at one end cannot support the second harmonic.

  Reason

  An open organ pipe allows all integral harmonics, whereas a pipe closed at one end allows only odd multiples of its fundamental 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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• NumericmediumWave Motionorgan pipe and resonance tube

  An organ pipe open at both ends has geometrical length 0.98 m. The end correction at each open end is 1 cm. If the speed of sound is 340 m/s, and the fundamental frequency is N Hz, find N.

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• Multi-correctmediumWave Motionorgan pipe and resonance tube

  Which statements are correct for an ideal open organ pipe of effective length Lₑ?

  Select all that apply

  • Option A

    Both open ends are displacement antinodes.

  • Option B

    All integral harmonics are allowed.

  • Option C

    The resonance frequencies satisfy fₙ = nv/(2Lₑ).

  • Option D

    If the end correction at each end is e, then Lₑ = L+2e.

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• MCQmediumWave Motionorgan pipe and resonance tube

  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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• NumericmediumWave Motionorgan pipe and resonance tube

  In a closed organ pipe, the frequency of fundamental note is 30 Hz. A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to 110 Hz. If the organ pipe has a cross-sectional area of 2 cm², the amount of water poured in the organ tube is _______ g. (Take speed of sound in air is 330 m/s)

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• MCQmediumWave Motionorgan pipe and resonance tube

  A resonance tube of circular cross-section is used with a 500 Hz tuning fork. The speed of sound is 340 m/s and the first resonance occurs when the measured air-column length is 16.4 cm. Using the approximation e = 0.6r, where r is the tube radius, what is the tube radius?

  Options

  • Option A

    0.5 cm

  • Option B

    1.0 cm

  • Option C

    1.5 cm

  • Option D

    2.0 cm

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