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A string is producing transverse vibration whose equation is  y=0.021sin(x+30t), Where x and y are in meters and t is in seconds. If the linear density of the string is 1.3×104 kg/m, then the tension in the string in N will be

a
10
b
0.5
c
1
d
0.117

detailed solution

Correct option is D

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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