If the air temperature is 22.8 degree C, the theoretical speed of sound is 333 m

Question

If the air temperature is 22.8 degree C, the theoretical speed of sound is 333 m/s 345 m/s 357 m/s When the speed of sound is 340 m/s, the shortest closed pipe that can resonate with a 470-Hz tuning fork is long. 5.0 cm 12 cm 18 cm If a 10-cm closed pipe resonates at a frequency f, a 20-cm closed pipe will also resonate at frequency f. When a 24-cm closed pipe resonates, the wavelength of the sound wave could be 24 cm. The resonances in this lab are easier to detect when the water level is rising or falling, rather than when it's steady.

Explanation / Answer

1) Speed of sound = v = 331.4 + 0.6*T

    At 22.8 C,      v = 331.4 + 0.6*22.8 = 345.08 m/s (Option B)

2) L = ¼ (2n + 1)
L = ¼ (v/f)(2n + 1)
L = ¼ (340/470)(2 * 0 + 1)
L = 0.181 m
L = 18.1 cm (Option C)

3) False as L = ¼ (v/f)(2n + 1) =====> f depends on length L.

4) False as L = ¼ (2n + 1)

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