Answer:
v₁ / v₂ = √μ ₂/μ ₁
Explanation:
The speed of a traveling wave on a string is given by
v = √ T /μ
Where v is the speed of the wave, T the tension and μ is the linear density of the string
Let's apply this equation to our case
v₁ = √ T / μ ₁
v2 = √ T /μ ₂
If the voltage of the two systems is the same
T = v₁² μ₁ = v₂² μ₂
We cleared
v₁² / v₂² = μ₂ / μ₁
v₁ / v₂ = √μ ₂/μ ₁
