1.

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension In the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air at 20°C = 343 m s-1?

Answer»

Mass per unit length of the wire,

µ = \(\frac{2.10kg}{12.0m}\) = 0.175 kg m-1

The speed of wave on a string is

given by, v = \(\sqrt \frac{T}μ \)

Given v = 343 ms-1

∴ T = µv2 =0.175 × 3432

= 20588.575 = 2.06×104 N.



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