Question

The tension in the string is changed by 2 percent what is the change in the transverse wave velocity ​

Answer 1

so velocity will increase by 1%

Answer 2

Concept:

• Transverse waves
• Tension
• Wave velocity

Given:

• Change in the tension of the string = 2%

Find:

• Change in the transverse wave velocity

Solution:

V = √T/ρ

V² = T/ρ

Differentiate the above equation

2vdv/dt = 1/ρ

2vdv= 1/ρ dt --- Divide this equation by v² = T/ρ

2dv/v = dt/T

dv/v = (1/2) dt/T

dt/T = 2%

dv/v = (1/2) 2%

dv/v = 1%

The change in transverse wave velocity is 1%.

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