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# A sound wave travels at $340m{{s}^{-1}}$. How far from the source the wave has travelled after $0.5s$

Last updated date: 11th Aug 2024
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Hint: The sound travels through vibrations and it cannot travel without a medium. The speed of the sound is the distance travelled per unit time. Substituting given values in the formula for speed, the distance travelled from the source can be calculated. Convert the units, if required.

Formula used:
$s=\dfrac{d}{t}$

The sound is a mechanical wave. It requires a medium to travel. The sound travels through a medium as propagation of vibrations. The molecules of the medium undergo compressions and rarefactions and they are transferred to the other molecules in contact. The medium decides the speed of sound.
The speed is given by
$s=\dfrac{d}{t}$
Here, $s$ is the speed
$d$ is the distance
$t$ is the time taken
Given, speed of sound is $340m{{s}^{-1}}$, time taken = $0.5s$
Substituting given values in the above equation, we can calculate distance travelled, therefore,
\begin{align} & 340=\dfrac{d}{0.5} \\ & \Rightarrow d=340\times 0.5 \\ & \Rightarrow d=170m \\ \end{align}
The distance covered by the sound is $170m$.
Therefore, the sound travels a distance of $170m$ in $0.5s$.