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Q.

The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y=-0.21sin(x+30t)  is produced in it, where x is in metre and t is in second. Then, the expected value of tension in the wire is x×10-2N  . Value of x is ________
(Round-off to the nearest integer)
 

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answer is 1215.

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Detailed Solution

Given, 
Mass per unit length of a uniform wire, 
 μ=0.135g/cm
Comparing the given equation by standard equation of y=asin(kx+ωt),  we get ω=30,k=1
 Tension, T=μv2=0.0135×900=12.15N
 

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