A certain string will resonate at several fre | vedclass

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(A) The resonant frequencies of a string fixed at both ends are given by the formula $f_n = n 	imes f_1$,where $n = 1, 2, 3, \dots$ and $f_1$ is the

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$400, 600, 800 \,Hz$

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(A) The resonant frequencies of a string fixed at both ends are given by the formula $f_n = n 	imes f_1$,where $n = 1, 2, 3, \dots$ and $f_1$ is the fundamental frequency.Given that the lowest resonant frequency (fundamental frequency) is $f_1 = 200 \,Hz$.The next three higher resonant frequencies correspond to $n = 2, 3,$ and $4$.For $n = 2$,$f_2 = 2 	imes 200 = 400 \,Hz$.For $n = 3$,$f_3 = 3 	imes 200 = 600 \,Hz$.For $n = 4$,$f_4 = 4 	imes 200 = 800 \,Hz$.Therefore,the next three higher frequencies are $400 \,Hz, 600 \,Hz,$ and $800 \,Hz$.

$A$ certain string will resonate at several frequencies,the lowest of which is $200 \,Hz$. What are the next three higher frequencies at which it resonates?

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