Q.

The linear density of a vibrating string is 10-4 kg/m. A transverse wave is propagating on the string, which is described by the equation y = 0.02 sin (x + 30 t), where x and y are in metres and time t in seconds. Then tension in the string is

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a

0.09 N

b

0.36 N

c

0.9 N

d

3.6 N

answer is A.

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Detailed Solution

y = 0.02 sin (x + 30t), Comparing with standard equation y = A sin(Kx + wt), w = 30, K = 1Velocity of wave, v=ωK=301=30 m/sv=Tmgives Tension                T = v2m = (30)2 × 10-4                        = 0.09 N
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