Question

If in a resonance tube, oil of density higher than that water is used, then at the resonance, frequency would

• A. increase
• B. decrease
• C. slightly increase
• D. remains same

Answer 1

The correct option is D

remains same

Explanation for Correct answer:

Option (D): remains same

1. For an open resonance tube, with $L=\frac{\lambda }{4}$, where $\lambda$ is the wavelength,
2. Frequency,$f_1=\frac{v}{4L}$ where $v$ is the speed of sound and $L$ is the length of the resonance column.
3. We know, that frequency in a resonance tube depends on to the speed of sound and the length of the resonance column, it is independent of the material in the resonance tube.

So, whatever the density of the liquid in the resonance column is, the frequency remains the same.

Hence, Option (D) is correct.