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Question

The equation of a transverse wave propagating in a string is given by y = 0.02 sin (x + 30t)
where x and y are in metre and t is in second. if linear density of the string is 1.3×104kg/m, then the tension in the string is

A
0.12 N
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B
1.2 N
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C
12 N
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D
120 N
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Solution

The correct option is A 0.12 N
Speed of the wave=ωk=301=30m/s
Speed of wave in a string is also given by Tμ=30m/s
T=(30)2×1.3×104=0.12N

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