How Does Doubling the Mass Affect Wave Speed on a Wire?

[valeriex0x]

Homework Statement

When a mass M hangs from a vertical wire of length L, waves travel on this wire with a speed V.

a) What will be the speed of these waves in terms of V if we double M without stretching the wire?

V=?

Good morning, could someone please tell me why my answer of rad 2 is wrong. I thought i was on the right track.

Homework Equations

See uploaded photo of all work

The Attempt at a Solution

see uploaded photo of all work

 

[technician]

The speed of a wave along a stretched string depends on the tension in the string and the mass per unit length.

v = √(T/μ) where T = tension in the string and μ = mass per unit length.
Can you get it from this??
What do you mean by rad2...

 

[technician]

Do you mean root2 (√2) ?