Obtain an expression for energy transported by a progressive wave on a taut string. Also show that the power transported by the wave is proportional to the wave velocity.

To obtain an expression for the energy transported by a progressive wave on a taut string, let's consider a small element of the string, \(\Delta x\), which is moving with a velocity \(v\) at an angle \(\theta\) with the horizontal. The mass of this element can be given by \(\Delta m = \mu \Delta x\), where \(\mu\) is the linear mass density of the string (mass per unit length). The kinetic energy of this element can be given by \(dE_k = \frac{1}{2} \Delta m ________ ________ ____ _________ _____ _________ _________ _________ ________.
__________ ___ __________ _____ ________ _______ __________ _______ ____ _______ ______.
_____ _____ ______ ____ _______ ________ ______ ___ ____ _________.
_____ __________ ______ _________ ___.
_______ _____ _____ ____ _____ ______ _____.
________ _____ ____ _______ ______ _____.
___ _______ __________ _______ ______.
_________ ______ ___ ______ _____ _______ ________ ____ _________ ___ _______.
______ _________ _____ _________ __________ _____ _________ _______ _______.
_______ ___ ________ ____ _________ __________ ___ ____.
______ _________ ____ _________ __________.
______ _____ ___ _______ _________ _______ _______ _____ ___ _____ ___ ________.
____ __________ ________ ______ ______ _____.
__________ __________ _____ __________ ________ ___ _________ _____ ______ __________ _________.
______ _______ _____ ________ _________ ______ _____ ____ ____ _________ ___.
_______ _____ _______ __________ ____ __________ ________ ______ ________ _________.
________ ___ ________ ____ _________ _______ ________.
_____ ___ _______ _______ _________.
___ _________ __________ _________ ______ _______ _______ ___ _____ _______ _____ _________.
______ __________ _________ _____ ___ _________ ___ ___.
_____ _______ _____ ____ ____ ___ ___ ____.
__________ __________ _________ ___ ___ ________ ________ ___.
___ _______ __________ _______ ______ ____ ______ __________ _____.
_____ ________ __________ _____ ______ ______ _______ ______ ___.
__________ ____ _______ __________ ________ _____ __________ _______ _______ ________ _______.
_______ ____ _______ ____ ________ ___.
____ ___ ___ ________ _____ ________.
_________ _____ __________ __________ _______ ______ ______ ___ ____ ___ ____ _____.
_______ ________ ______ _________ ____ ___.
_____ ____ _________ ______ ________ _________ __________ ______.
__________ _____ _____ ____ ___ ____ __________ ______ _____ ______ __________.
_____ ______ ___ _________ _________ _________ ____ _____ _______ ___.
________ ______ ____ ____ ____ ______ __________ ________ ______ ___ _____ ___.
___ _____ ______ _________ _________ _______ ___ ___ ____ _______ _____ ________.
___ _________ ____ ______ ____ ____ ________.
_______ _________ ____ __________ ____ ___ ___ ______.
__________ __________ ______ _________ ____ _______ _________.
___ ___ ____ _____ _____.
______ ________ _______ ____ ____ _______ ____ ________ ___ _______ __________ _________.
__________ ______ _______ ____.
Get Full Answer on WhatsApp