Answer the following in brief:
Derive the equation to calculate the minimum distance required to hear an echo.
For a distinct echo to be heard, the reflected sound must reach the listener at least \(0.1\ s\) after the original sound.
Let the minimum distance between the person and the reflecting surface be \(d\).
Step 1: Identify the time condition:
1. What is the minimum time interval required between the original sound and the reflected sound for a distinct echo to be heard?
Step 2: Total distance travelled by sound
2. If the distance between a person and a reflecting surface is \(d\), what is the total distance travelled by the sound to produce an echo?
Step 3: Apply the distance relation
3. Which equation correctly represents the derivation for the minimum distance \(d\), when the speed of sound is \(v\) and the minimum time is \(t\)?
This equation is used to calculate the minimum distance required for a distinct echo.