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Q.

A string is producing transverse vibration whose equation is  y=0.021 sin(x+30t), Where x and y are in meters and t is in seconds. If the linear density of the string is 1.3×10−4 kg/m, then the tension in the string in N will be

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a

10

b

0.5

c

1

d

0.117

answer is D.

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Detailed Solution

y=0.021sin(x+30t)⇒v=ωk=301=30 m/sUsing, v=Tm⇒30=T1.3×10−4⇒T=0.117N
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