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Q.

A string of linear mass density 0.8 kg/m is stretched to a tension 500 N. The mean power required to maintain a travelling wave of amplitude of 10 mm and Wavelength 0.5 m is

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a

70 W

b

85.3 W

c

987 W

d

100 W

answer is D.

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Detailed Solution

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$ω = \frac{2 π v}{λ} = 100 π {rads}^{- 1}$ and $v = \sqrt{\frac{T}{μ}} = 25 {ms}^{- 1}$

$P = \frac{1}{2} μ ω^{2} a^{2} v = 100 W$

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