A string of length $1 \mathrm{~m}$ and mass $490 \mathrm{~g}$ is put under a tension of $25 \mathrm{~N}$. A…
A string of length $1 \mathrm{~m}$ and mass $490 \mathrm{~g}$ is put under a tension of $25 \mathrm{~N}$. A wave of frequency $120 \mathrm{~Hz}$ is sent along it. The speed of this wave is
$7.14 \mathrm{~ms}^{-1}$
$0.71 \mathrm{~ms}^{-1}$
$0.51 \mathrm{~ms}^{-1}$
$51.0 \mathrm{~ms}^{-1}$
Solution
The wave speed is given as
$
\mathrm{V}=\sqrt{\frac{\mathrm{T}}{\mu}}=\sqrt{\frac{25}{0.49} \times 1}=7.14 \mathrm{~m} / \mathrm{s}
$