STANDARD Physics Transverse Waves on Strings MCQ Question
A 10 m long steel wire has mass 5 g. If the wire is under a tension of 80 N, the speed of transverse waves on the wire is
100 m s⁻¹
200 m s⁻¹
400 m s⁻¹
500 m s⁻¹
Correct Answer
Detailed Explanation
The speed of a wave on a string is given by v = √(T/μ), where T is the tension and μ is the mass per unit length. Here, μ = 5 × 10⁻³ kg / 10 m = 0.5 × 10⁻³ kg/m. Thus, v = √(80 / 0.5 × 10⁻³) = 400 m/s.
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