Question

In a resonance tube experiment, resonance occurs when the air column length matches a tuning fork of frequency f. If L is the resonance length, find the speed of sound.

Options

• v = \[\frac {L}{2f}\]

• v = \[\frac {f}{2L}\]

• v = 2Lf

• v = \[\frac {2f}{L}\]

Answer 1

v = 2Lf

Explanation:

The speed of sound is calculated using v = 2Lf, where L is the length of the resonance tube and f is the frequency of the sound source. This formula is derived from the condition that the air column length equals half the wavelength at resonance (L = λ/2, so v = fλ = 2Lf).