A uniform wire of length 20 m and weighing 5 kg hangs vertically. If `g=10 m s^(-2)`, then the speed of transverse waves in the middle of the wire is

Options

A. 10 m/s
B. `10sqrt(2)` m/s
C. 4 m/s
D. zero

Answer

A

Explanation

Here, `mu=(5)/(20)kg//m=(1)/(4)kg//m`
Tension in the middle of wire = weight of half the wire
`T=(5)/(2)g=(5)/(2)xx10N=25N`
As `v=sqrt((T)/(mu)) therefore v=sqrt((25)/(1//4))=10m//s`