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Last updated date: 01st Dec 2023
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MVSAT Dec 2023

The potential energy of a string depends on
(a) Wave velocity
(b) Amplitude of the wave
(c) Extent of stretching of the string
(d) None of the above

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Hint: Potential energy holds on as a result of the deformation of an elastic object, like the stretching of a spring. it's adequate the work done to stretch the spring, that depends upon the spring constant k similarly because the distance stretched.
Potential energy, hold on energy that depends upon the relative position of assorted elements of a system. A spring has additional P.E. once it's compressed or stretched.

Complete step-by-step solution:
The potential energy. depends on however stretched the string is. Of course, having a string with some tension mechanically has some P.E. because of the stretching, even if no waves pass through the string. We are interested in the P.E. to keep in the string because it is stretched more, because of the propagation of crosswise waves. For simplicity, we use P.E. to talk over with solely this extra P.E. because of the additional strength.
The potential energy of a string depends on the extent of the stretching because when the spring is stretched by a force there is some energy stored inside the spring. This stored energy is called potential energy. This potential energy depends upon the length extended due to the stretch.
Hence the right answer is option (c).

Note: There are four forms of stretching – stretching,
2.passive stretching,
3.dynamic stretching, and
4.proprioceptive neuromuscular facilitation (PNF) stretching, which involves table stretching.