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A string of 7 m length has a mass of 0.035 kg. If tension in the string is 60.5 N, then speed of a wave on the string is

1. 77 m/s
2. 102 m/s
3. 110 m/s
4. 165 m/s

Correct answer: 102 m/s

Solution

The speed of a wave on a string is given by v = √(T/μ), where T is the tension and μ is the linear mass density (mass/length). Here, μ = 0.035/7 = 0.005 kg/m. Substituting, v = √(60.5/0.005) = √12100 = 110 m/s.

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