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A 5.5 m long string has a mass of 0.035 kg. If the tension in the string is 77 N, the speed of a wave on the string is

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77 m/s

100 m/s

110 m/s

150 m/s

answer is C.

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Detailed Solution

Linear mass density, $μ = \frac{m}{l}$

$\Rightarrow μ = \frac{35 \times 10^{- 3}}{55 \times 10^{- 1}} = \frac{7}{11} \times 10^{- 2} kg / m,$

$V = \sqrt{\frac{T}{μ}} = \sqrt{\frac{77 \times 11}{7 \times 10^{- 2}}} = 110 m / s$

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