$(a)\;512\;W\qquad(b)\;500\;W\qquad(c)\;640\;W\qquad(d)\;746\;W$

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Answer : (a) $\;512\;W$

Explanation :

Velocity (v) = $\;\sqrt{\large\frac{T}{\mu}}=\sqrt{\large\frac{80}{5 \times 10^{-2}}}=40\;m/s$

$f=60\;Hz$

angular frequency (w) = $\;2 \pi f$

$=2 \pi \times 60=377\;s^{-1}$

Power (P) = $\;\large\frac{\mu w^2 A^2 v}{2}$

$=\large\frac{1}{2}\times (5 \times 10^{-2}) \times(377) \times (6 \times 10^{-2})^{2} \times 40 $

$=512 W$

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