The tension in a piano wire is 10 N. What should be the tension in the wire to produce a note of double the frequency.

Question

Aicharya · Accepted Answer

Sol. As, $f\propto\sqrt{T}$ $	herefore \dfrac{f_{1}}{f_{2}}=\dfrac{\sqrt{T_{1}}}{\sqrt{T_{2}}}$ $\Rightarrow \dfrac{f}{2f}=\sqrt{\dfrac{10}{T_{2}}}$ $\Rightarrow T_{2}=40\ \mathrm{N}$ Answer: $40\ \mathrm{N}$

The tension in a piano wire is 10 N. What should be the tension in the wire to produce a note of double the…

Solution