A person listening to a tone of 500 Hz sitting at a distance of 450m from the source of the sound. Calculate the time interval between successive compressive from the source.(velocity of sound=330m/s) [class 9th]
Period = 1/(frequency)
= 1/500 = 0.002 seconds
You don't need the sound speed or the distance.
To calculate the time interval between successive compressions, we need to calculate the time it takes for the sound wave to travel from the source to the listener's location.
First, we need to find the time it takes for the sound wave to travel the distance from the source to the listener.
Given:
- Velocity of sound = 330 m/s
- Distance from the source to the listener = 450 m
Using the formula: time = distance / velocity
t = 450 m / 330 m/s
t = 1.36 s (rounded to two decimal places)
Next, we need to calculate the time interval between successive compressions. The time interval between successive compressions is equal to the time period of the sound wave.
The time period is the reciprocal of the frequency.
Given:
- Frequency of the sound wave = 500 Hz
Using the formula: time period = 1 / frequency
T = 1 / 500 Hz
T = 0.002 s
Therefore, the time interval between successive compressions, or the time period of the sound wave, is approximately 0.002 seconds.