A transverse wave described by $y = 0.02 sin (x + 30 t)$ propagates on a stretched string of linear density $12 g m^{- 1}$ . The tension in the string is

2.16 N

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1.08 N

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10.8 N

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0.0108 N

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Solution

The correct option is B $10.8 N$
$ν = \frac{ω}{k} = \frac{30}{1} = 30 m s^{- 1}$
$T = ν^{2} μ = (30)^{2} \times 12 \times 10^{- 3} = 10.8 N$

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