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The linear density of a vibrating string is 10^-4kg m^-1. A transverse wave is propagating on the string, which is described by the equation Y = 0.02 sin (x + 30t), where x and y are in metre and the time t is in second. The tension in the string is

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0.09 N

0.36 N

0.9 N

3.6 N

answer is A.

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Detailed Solution

$v = \frac{ω}{k} = \sqrt{\frac{T}{μ}}$

$∴ T = μ {(\frac{ω}{k})}^{2} = 10^{- 4} {(\frac{30}{1})}^{2} = 0.09 N$

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