Question

Solve this :

16. An organ pie s closed at one end has fundamental frequency of 1500 Hz. Find maximum number overtones generated by this pipe which a normal person can hear.

(1) 14 (2) 13
(3) 6 (4) 9

Answer 1

Dear Student,

$$\begin{gathered} Frequencyofclosedorganpipe \\ v=(2n+1)\frac{u}{4l} \\ withn=0 \\ 1500=\frac{u}{4l} \\ Apersoncanhearupto20000Hz \\ So \\ 20000=(2n+1)\frac{u}{4l}=(2n+1)\times 1500 \\ (2n+1)=\frac{20000}{1500}=\frac{200}{15}=\frac{40}{3} \\ 2n=\frac{37}{3} \\ n=\frac{37}{6}=6 \end{gathered}$$
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