Question

two wire made up of iron are under same tension but with different areas of cross section. In which wire will the speed of transverse wave will be more?​

Answer 1

Given:

Two wire made up of iron are under same tension but with different areas of cross section.

To find:

In which wire will the speed of transverse wave will be more?

Calculation:

Speed of transverse wave in a wire is given as:

$\boxed{ \sf v = \sqrt{ \dfrac{T}{ \mu} } }$

• T is the tension

• $\mu$ is linear mass density of the wire.

$\implies\sf v = \sqrt{ \dfrac{T}{( \frac{m}{l} )} }$

$\implies\sf v = \sqrt{ \dfrac{T \times l}{m} }$

For constant mass and tension:

$\implies\sf v \propto \: \sqrt{l}$

So, length data in the question is required !

• Speed of wave is not dependent on the cross-section of the wires.