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A steel wire has a length of 12 m and ma...

A steel wire has a length of 12 m and mass of 23.10 kg . What will be the speed of a transverse wave on this when a tension of `2.06xx10^(4)`N is applied?

Text Solution

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Given, length of the wire
`" " l=12 m`
Mass of wire `" " m=2.10 kg`
Tenstsion `" " T=2.06xx10^(4)N`
Speed pf transverse wave `" " v=sqrt((T)/(mu))" "` [ where `mu`=mass per unit length ]
`" " =sqrt((2.06xx10^(4))/(((2.10)/(12))))=sqrt((2.06xx12xx10^(4))/(2.10))=343m//s`
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Knowledge Check

  • 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
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    B
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    C
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    D
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