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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Sound Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves

A closed organ pipe can vibrate with a minimum frequency of 500 Hz...

A closed organ pipe can vibrate with a minimum frequency of

500 \text{ Hz}

. Determine the length of the tube. The speed of sound in air is

340 \text{ m s}^{-1}

.

Options

A $68 \text{ cm}$
B $34 \text{ cm}$
C $17 \text{ cm}$
D $8.5 \text{ cm}$

Correct answer

C. $17 \text{ cm}$

Step-by-step solution

The minimum frequency of vibration for a closed organ pipe corresponds to its fundamental frequency, which is given by the formula:

f = \dfrac{v}{4L}

Substituting the given values,

f = 500 \text{ Hz}

and

v = 340 \text{ m s}^{-1}

:

500 = \dfrac{340}{4L}

L = \dfrac{340}{4 \times 500}

L = \dfrac{340}{2000} = 0.17 \text{ m}

L = 17 \text{ cm}

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