Question

When a sound is reflected from a distant object, an echo is produced . Let the distance between the reflecting surface and the source of sound production remain the same . Do you hear an echo sound on a hotter day?

Answer 1

Hint: In the above mentioned question, we will get to know about whether an echo can be heard on a hotter day as well as we will also get to know the condition at which an echo to be heard by showing it with an equation.

Complete answer:
The temperature has a clear relationship with the speed of sound. If the temperature rises, so does the speed of sound. On a hotter day (when the temperature is high), the speed of sound increases, and the echo must be detected from a greater distance from the reflecting surface. On a hotter day, no echo can be detected since the distance between the reflecting surface and the source of sound remains constant.

Let “$d$” = Distance between the reflecting Surface and the Sound Source “$v$” = Sound Speed in the air. As a result, the echo can become audible over time \[,t{\text{ }} = {\text{ }}2d/v\] . The speed of sound increases as the temperature rises on a hotter day. As a result, the time it takes for an echo to be heard decreases. If the reflected sound's duration is less than \[0.1\,s\], after the original sound is produced, no echo is detected. If the duration is longer than \[0.1{\text{ }}s\], however, an echo can be heard.

Note: Now the question arises as to why there is a pause in hearing an echo. There would be a slight time difference between the perception of the original sound and the perception of the reflected sound because sound perception lasts only \[0.1\] seconds in memory. As a result, we refer to the experience of a reflected sound wave as an echo.