A person is listening to a tone of 500 Hz sitting at a distance of 450 m from the source of the sound. What is the time interval between successive compressions from the source?

To find the time interval between successive compressions (time period) of a sound wave, we can use the formula:

Time period (T) = (Distance)/(Speed of sound)

Given:
– Distance from the source (d) = 450 meters
– Speed of sound (v) at standard conditions ≈ 340 meters per second

Using the formula:

T = (450 m)/(340 m/s)

Calculating the time interval:

T ≈ 1.32 seconds
Hence, when a person is positioned 450 meters away from the source of a sound emitting a tone of 500 Hz, the time interval between successive compressions (or the time period of the sound wave) is approximately 1.32 seconds. This duration signifies the time taken for one complete cycle of compression and rarefaction to reach the listener from the sound source.