Question

When a sound is reflected from a distant object, an echo is produced, If the distance between the reflecting surface and the source of sound production remains the same, then on which day, the echo will be heard much sooner?

1. The day having hotter temperature.
2. The day having lower temperature.

Answer 1

1. Speed of sound is directly proportional to the temperature of the medium.
2. As the temperature of the medium increases, the speed also increases and vice-versa is also true.
3. The speed of sound at any temperature t is$v_T=(v_0-0.6\times t)$, where t is the temperature and $v_o$ is the speed of sound at$0^{0}C$.
4. Thus we can say that the sound travels faster on days having a hotter temperature.
5. Thus, the echo will be heard much sooner on the day having a hotter temperature.