Q.

A transverse wave described by equation y = 0.02 sin(x+30t) (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

14.4 N

b

20 N

c

30 N

d

7.2 N

answer is B.

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Detailed Solution

y = 0.02 sin(x+30t)

For the given wave: 

(x+30t = constant)

v =dxdt =-30

We have v = Tμ   T = μv2 = A.ρV2

                    = (10-6m2)(8×103kgm3)(30)2

 T = 7.2 N

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