Consider a travelling simple harmonic wave $Y = Asin (ωt - kx)$ on a string of mass per unit length and tension T. Kinetic energy per unit length is given by $u k = 12 μ δ y δ t 2$ and potential energy per unit length is given by $u p = 12 T δ y δ x 2$ . Mark the correct options:

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A very small element of string has zero potential energy when it is at its equilibrium position.

For a small element

u k

and

u p

will change periodically with angular frequency

ω

Total energy per unit length of a string is constant when a harmonic wave travels on it.

u k

and

u p

simultaneously attain their maximum and minimum values.

answer is B.

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