Q.

A transverse wave described by the equation  y=0.02Sin(x+40t) ( where x and t are in metres and seconds respectively) is travelling along a wire of area of cross section 1 mm2 and density 8000 kg/m3 . What is the tension in the string?

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a

20 N

b

12.8 N

c

30 N

d

14.4 N

answer is B.

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Detailed Solution

v=ωk=−40⇒v=Tμ⇒T=μv2=Aρv2⇒T=12.8N
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A transverse wave described by the equation  y=0.02Sin(x+40t) ( where x and t are in metres and seconds respectively) is travelling along a wire of area of cross section 1 mm2 and density 8000 kg/m3 . What is the tension in the string?