If tension in a wire is made four times, then what will be the change in speed of wave propagating in it ?

Vedclass pdf generator app on play store
Vedclass iOS app on app store

Wave speed in the wire is $v=\sqrt{\frac{\mathrm{T}}{\mu}}$

$\therefore \quad v \propto \sqrt{\mathrm{T}} \Rightarrow \frac{v_{1}}{v_{2}}=\sqrt{\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}}$

$\therefore \frac{v_{1}}{v_{2}}=\sqrt{\frac{\mathrm{T}_{1}}{4 \mathrm{~T}_{1}}} \Rightarrow v_{2}=2 v_{1}$

$\therefore$ Wave speed will become doubled.

Similar Questions

A block of mass $1\,\, kg$ is hanging vertically from a string of length $1\,\, m$ and mass /length $= 0.001\,\, Kg/m$. A small pulse is generated at its lower end. The pulse reaches the top end in approximately .... $\sec$

A pulse is generated at lower end of a hanging rope of uniform density and length $L$. The speed of the pulse when it reaches the mid point of rope is ......

Mechanical waves on the surface of a liquid are

A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will

A steel wire has a length of $12.0 \;m$ and a mass of $2.10 \;kg .$ What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at $20\,^{\circ} C =343\; m s ^{-1}$