Question

The speed of sound in air, at 0°C equals V₀ . A student does the experiment, on finding the speed of sound, at room temperature (= θ°C) using a resonance tube. The resonance tube has a diameter D and the tuning fork used has a frequency N. The difference, between the second and first resonance lengths, would then equal

(1) \(\frac{V_0}{2N}(1+\frac{\theta}{273})^{1/2}\)

(2) \(\frac{V_0}{N}(1+\frac{\theta}{273})^{-1/2}\)

(3) \(\frac{V_0}{2N}(1+\frac{\theta}{273})^{-1/2}\)

(4) \(\frac{V_0}{N}(1+\frac{\theta}{273})^{1/2}\)

Answer 1

 (1) \(\frac{V_0}{2N}(1+\frac{\theta}{273})^{1/2}\)