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A streched rope have linear mass density 5\times 10^{-2} kg/m. Under tension of 80 N. The power that has to be suppiled to genrate a wave of frequency 60 Hz and amplitude of \frac{2\sqrt{2}}{15\pi} m is 

  • Option 1)

    215 W

  • Option 2)

    251 W

  • Option 3)

    512 W

  • Option 4)

    521

 

Answers (1)

P = \frac{1}{2} \mu \omega ^{2} A^{2} v where v = \sqrt \frac{T}{\mu}

After solving P = 512 W

 

Rate of energy transfer on string by sinusiodal wave -

\rho = \frac{1}{2}\mu \omega ^{2}A^{2}V
 

- wherein

\mu = linear mass density

\omega = angular frequency

A = Amplitude

V = Wave speed

 

 

 


Option 1)

215 W

This is incorrect.

Option 2)

251 W

This is incorrect.

Option 3)

512 W

This is correct.

Option 4)

521

This is incorrect.

Posted by

subam

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