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  • The transverse displacement of a string is given by y(x,t) = 0.06 sin (2πx/3) cos (120πt). All the points on the string between two consecutive nodes vibrate with a) same frequency

The transverse displacement of a string is given by y(x,t) = 0.06 \sin \left (\frac{2\pi x}{3} \right )\cos (120\pi t). All the points on the string between two consecutive nodes vibrate with

a) same frequency

b) same phase

c) same energy

d) different amplitude

Answers (1)

The answer is the option (a), (b), and (d).

The given equation y(x,t) = 0.06 \sin \left (\frac{2\pi x}{3} \right )\cos (120\pi t) is as per the standard equation of stationary wave, i.e. y(x,t)=a \sin kx\cos\omega t

 

The frequency of particles within the wave is the same. All the particles between any two consecutive nodes vibrate either the upside or downside having the same phase 120\pi t at a time.

Also, E \propto A^{2} where the amplitude of different particles is different between nodes.

Posted by

infoexpert24

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