Question
The velocity of sound in air is 330 m/s and the frequency of a tuning fork is 660 Hz. What will be the distance covered by the sound is 200 complete vibrations of the fork? [Ans. 100 m]
Answer
To find the distance covered by sound in a given number of complete vibrations, we need to calculate the wavelength first. The wavelength can be determined by dividing the velocity of sound by the frequency.
Wavelength = Velocity \over Wavelength
Wavelength = 330 \over 660
Wavelength = 0.5 m
Since one complete vibration corresponds to one wavelength, the distance covered by sound in 200 complete vibrations is:
Distance = Wavelength × Number of Vibrations
Distance = 0.5 m × 200
Distance = 100 m
Therefore, the distance covered by the sound in 200 complete vibrations of the tuning fork is 100 m.