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A stretched rope having linear mass density 5×102kgm1 is under a tension of 80N. Power (in Watts) =648nπ2×102 has to be supplied to the rope to generate harmonic waves at a frequency of 60Hz and an amplitude of 6 cm. The value of n is___


Solution

P=12ρA2ω2sv;

s – Area of cross-section of Rope

=12μA2ω2v=12μA2ω2Tμ=5184π2×102W

Thus value of n is 5184/648 =8

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