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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=0⋅021sin⁡(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

0.48 N

b

1.20 N

c

4.80 N

d

0.12 N

answer is A.

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Detailed Solution

Given y=0⋅021sin⁡(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=T1⋅3×10−4 or T=0⋅12N

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