The-second-overtone-of-a-fixed-viberating-string-fixed-at-both-end-is-200cm-Find-the-length-of-the-string-

Question Number 18502 by tawa tawa last updated on 22/Jul/17

$$\mathrm{The}\:\mathrm{second}\:\mathrm{overtone}\:\mathrm{of}\:\mathrm{a}\:\mathrm{fixed}\:\mathrm{viberating}\:\mathrm{string}\:\mathrm{fixed}\:\mathrm{at}\:\mathrm{both}\:\mathrm{end}\:\mathrm{is}\:\mathrm{200cm}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{string}. \\ $$

Answered by ajfour last updated on 23/Jul/17

$$\mathrm{L}=\mathrm{n}\frac{\lambda}{\mathrm{2}} \\ $$$$\mathrm{for}\:\mathrm{second}\:\mathrm{overtone}\:\mathrm{n}=\mathrm{3} \\ $$$$\mathrm{what}\:\mathrm{you}\:\mathrm{mean}\:\mathrm{is}\:\mathrm{wavelength}\:\mathrm{for} \\ $$$$\mathrm{n}=\mathrm{3}\:\mathrm{is}\:\mathrm{200cm}. \\ $$$$\mathrm{So}\:\:\:\:\mathrm{L}=\frac{\mathrm{3}}{\mathrm{2}}\left(\mathrm{200cm}\right)=\mathrm{300cm}\:. \\ $$

Commented by tawa tawa last updated on 23/Jul/17

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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