The speed of a wave on a string is 150 ~m / s when the tension is 120 N . The percentage increase in the tension in order to raise the wave speed by 20 % is

Step-by-step solution

We know that v= T m v T aligned & v₁ v₂ = T₁ T₂ & T₁ T₂ = ( v₁ v₂ )^2 & T₂-T₁ T₁ = v₁^2-v₁^2 v₁^2 & v₂=v₁+ 20 100 v₁= 120 100 v₁= 6 5 v₁ &= 6 5 150 aligned aligned T₂-T₁ T₁ & = (180)^2-(150)^2 (150)^2 & = 30 330 150 180 =0.47 & = T₂-T₁ T 100=0.44 100=44 % aligned