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Q.

The mass per unit length of a uniform wire is 0.135g/cm. A transverse wave of the form y=0.21 sinx+30t is produced in it, where x is in meter and t is in second. Then, the expected value of tension in the wire is x×102 N. Value of x is________(Round-off to the nearest integer)  

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answer is 1215.

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Detailed Solution

 Wave velocity, v=ωk=301=30m/s Also, wave velocity on string =v=TμT=μv2=0.135×101×900T=12.15=1215×102Nx=1215

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