Question

A tuning fork of frequency 600 Hz is sounded over a closed resonant tube. The first and second resonant positions are 0.13 m and 0.413 m, respectively. Calculate the speed of sound in air.

a) 300 m/s
b) 450 m/s
c) 600 m/s
d) 750 m/s

Answer 1

The speed of sound in air can be calculated using the formula speed of sound = frequency * wavelength.

Step-by-step explanation:

To calculate the speed of sound in air, we can use the formula:

Speed of sound = frequency * wavelength

First, we need to find the wavelength. The first resonant position is 0.13 m, which corresponds to half a wavelength. Therefore, the wavelength is 2 * 0.13 m = 0.26 m.

Next, we can use the frequency given (600 Hz) and the calculated wavelength to find the speed of sound:

Speed of sound = 600 Hz * 0.26 m = 156 m/s

Therefore, the correct answer is not provided in the options. The speed of sound in air is approximately 156 m/s.