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Question : 3
Total: 27
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 speed of a transverse wave on the wire equals to the speed of sound in dry air at 20 °C = 343 ms1.
Solution:  
Here, l=12.0 m, M = 2.10 kg, T = ?, v = 343 ms1
Mass per unit length, µ
=
M
l
=
2.10
12.0
=0.175kgm1

As, v=
T
µ

T=v2.µ=(343)2×0.175 =2.06×104N
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