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Q.

The linear density of a vibrating string is 1.3x10 -4 kg/m  A transverse wave is propagating on the string and is described by the equation y=0021sin(x+30t) where x and y are measured in metre and t in second. The tension in the wire is

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a

0.12 N

b

0.48 N

c

1.20 N

d

4.80 N

answer is A.

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Detailed Solution

Given y=0021sin(x+30t)
we know that y=asin(ωt+kx)
Comparing the two equations, we have
ω=30  and  k=2πλ=1  v=ωk=30m/s  Now v=Tm or 30=T13×104 or T=012N

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