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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 is so that speed of a transverse wave on the wire equals the speed of sound in dry air is343 ms ^(-1).

Answer» <html><body><p></p>Solution :Speed of <a href="https://interviewquestions.tuteehub.com/tag/transverse-1426606" style="font-weight:bold;" target="_blank" title="Click to know more about TRANSVERSE">TRANSVERSE</a> wave in a wire is, <br/> `v = sqrt ((T)/(mu)) = sqrt ((<a href="https://interviewquestions.tuteehub.com/tag/tl-661220" style="font-weight:bold;" target="_blank" title="Click to know more about TL">TL</a>)/(M)) ""(because mu = (M)/(<a href="https://interviewquestions.tuteehub.com/tag/l-535906" style="font-weight:bold;" target="_blank" title="Click to know more about L">L</a>))` <br/> `therefore v ^(2) = (TL)/(M) implies T = (Mv ^(2))/(L) = ((2.1 ) (343) ^(2))/((12))=20588.575N` <br/> `therefore T ~~2.06 xx 10 ^(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>) N`</body></html>


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