Sinusoidal waves $$5.00$$ cm in amplitude are to be transmitted along a string having a linear mass density equal to $$4.00$$ X $$10$$−$$2kg/m$$.If the source can deliver a maximum power of $$90$$ W and the string is under a tension of $$100$$ N, then the highest frequency at which the source can operate it, is (take$$ π$$2=$$ $$10)

Question

Sinusoidal waves $$5.00$$ cm in amplitude are to be transmitted along a string having a linear mass density equal to $$4.00$$ X $$10$$−$$2kg/m$$.If the source can deliver a maximum power of $$90$$ W and the string is under a tension of $$100$$ N, then the highest frequency at which the source can operate it, is (take$$ π$$2=$$ $$10)

Infinity Learn · Accepted Answer

$$P=12$$μω$$2A2V$$ using $$V=T$$μ. $$P=12$$ω$$2A2T$$μω$$=2PA2T$$μ,$$f=$$ω$$2$$π$$=12$$$$π$$$$2PA2T$$μ. Using the given data, we get f $$=$$ $$30$$ Hz.

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