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  4. A certain string will resonant to several frequencies, the lowest of which is 200 cps. What are the next three higher frequencies to which it resonants?

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Q. A certain string will resonant to several frequencies, the lowest of which is $200 \,cps$. What are the next three higher frequencies to which it resonants?

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Solution:

Resonant frequency occurs according to $\frac{n v}{2 l}$ and when $n=1$ frequency is minimum.
Hence $\frac{v}{2 l}=200[n=1]$
Other resonant frequencies will be simply multiples of fundamental frequency.