A taut string for which $μ = 5.00 \times 10^{- 2} k g / m$ is under a tension of 80.0 N. How much power must be supplied to the string to generate sinusoidal waves at a frequency of $60.0 H z$ and an amplitude of 6.00 cm?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is 512.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Power $= \frac{1}{2} ρ ω^{2} A^{2} S v$
But, $ρ S = μ$
And $v = \sqrt{\frac{T}{μ}}$
$∴ ρ S v = \sqrt{μ T}$
Hence, Power $= \frac{1}{2} {(2 π f)}^{2} A^{2} \sqrt{T μ}$
$= 2 π^{2} f^{2} A^{2} \sqrt{T μ}$

$= (2) {(π)}^{2} {(60)}^{2} {(0.06)}^{2} \sqrt{80 \times 5 \times 10^{- 2}} = 512 W$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!