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