Question

A string under tension carries transverse waves travelling at speed v. If the tension in
the string is halved and the linear density of the string is doubled, what is the wave
speed?​

Answer 1

Hi I hope this helps you.
Plz see the attachment for step-by-step answer.

The wave speed is doubled

Answer 2

Given:

• Tension of the string(T) = 2T
• Linear Density = 0.5m/L

To find:

• The speed of the wave.

Solution:

• We can find the speed of the wave by using the formula $V =\sqrt{\frac{T}{m/L} }$
• Where 'T' is the Tension of the string, 'm' is the mass and 'L' is the length 'V' is the speed at which the wave is traveling
• Substituting the given values in the formula we get.
• $V = \sqrt{\frac{2T}{0.5} } = \sqrt{4T}$
• V = 2T or T = 2V.
• The speed of the wave gets doubled

Wave of the speed is 2V