A wave moving with constant speed on a uniform string passes the point x = 0 with amplitude A 0 , angular frequency ω 0 and average rate of energy transfer P 0 . As the wave travels down the str

Question

A wave moving with constant speed on a uniform string passes the point $x = 0$ with amplitude $A_{0}$ , angular frequency $ω_{0}$ and average rate of energy transfer $P_{0}$ . As the wave travels down the string it gradually loses energy and at the point $x = l$ , the average rate of energy transfer becomes $P_{0} /2$ . At the point $x = l$ , angular frequency and amplitude are respectively:

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Answer:

A

Solution:

Frequency is set by the source and does not change. Power $\propto A^{2}$ at fixed $ω$ and speed, so halving the power gives $A = A_{0} / 2$ .

TestHub · Accepted Answer

Frequency is set by the source and does not change. Power ∝ A 2 at fixed ω and speed, so halving the power gives A = A 0 ​ / 2 ​ .

Physics - Wave on String Question with Solution | TestHub

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