Question

A tuning fork of frequency 200 Hz was knocked and put at one of the openings of a tube which is opened from both sides and has a length of 8 m, so the beginning of the first wave reached the end of the tube when the sixth wave was about to enter the tube. Calculate the speed of sound in air. ​

Answer 1

To calculate the speed of sound in air, use the formula: speed of sound = frequency x wavelength. The frequency of the tuning fork is 200 Hz and the length of the tube is 8 m. By calculating the wavelength and multiplying it by the frequency, we find that the speed of sound is 534 m/s.

Step-by-step explanation:

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

Speed of sound = Frequency x Wavelength

The frequency of the tuning fork is given as 200 Hz. The wavelength can be calculated using the formula:

Wavelength = 2 x Length of the tube / Number of waves

From the information given, we know that the length of the tube is 8 m and the sixth wave was about to enter the tube when the first wave reached the end. So the number of waves is 6.

Now, we can calculate the wavelength:

Wavelength = 2 x 8 m / 6 = 2.67 m

Finally, we can calculate the speed of sound:

Speed of sound = 200 Hz x 2.67 m = 534 m/s