Question

A stretched rope having linear mass density $5\times {10}^{-2}kg/m$ is under a tension of 80 N. The power that has to be supplied to the rope to generate harmonic waves at a frequency of 60 Hz and an amplitude of
$\frac{2\sqrt{2}}{15\pi }m$ is

• A. 215 W
• B. 251 W
• C. 512 W
• D. 521 W

Answer 1

The correct option is C 512 W

$P=\frac{1}{2}\mu {\omega }^2{A}^{2}vwherev=\sqrt{\frac{T}{\mu }}$