5. The speed of a transverse wave on a string is 170 m/s when the string tension is 120 . To what value must the tension be changed to raise the wave speed to 180 m/s?

The tension on string when the speed was raised is 134.53 N

Explanation:

Given;

Tension on the string, T = 120 N

initial speed of the transverse wave, v₁ = 170 m/s

final speed of the transverse wave, v₂ = 180 m/s

The speed of the wave is given as;

where;

μ is mass per unit length

The final tension T₂ will be calculated as;

Therefore, the tension on string when the speed was raised is 134.53 N

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increase masses, decrease separation