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Question
A steel wire has a length of 12 m and a mass of 2.10 kg. What will be the speed of a transverse wave on this wire when a tension of 2.06 × 104N is applied?
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Solution
Given, the length of the wire l = 12 m
Mass of wire m = 2.10 kg
Tension T = 2.06 × 104N
Speed of transverse wave v = `sqrt(T/μ)` .....[Where μ = mass per unit length]
= `sqrt((2.06 xx 10^4)/(((2.10)/12)`
= `sqrt((2.06 xx 12 xx 10^4)/2.10`
= 343 m/s
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