STANDARDPhysics-Waves

STANDARD Physics Transverse Waves on Strings MCQ Question

Type: MCQ-numerical-Medium-Class 11

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

A

100 m s⁻¹

B

200 m s⁻¹

C

400 m s⁻¹

D

500 m s⁻¹

Correct Answer

Option C

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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