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  4. A tube closed at one end containing air produces fundamental note of frequency 512 Hz. If the tube is open at both the ends, the fundamental frequency will be

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Q. A tube closed at one end containing air produces fundamental note of frequency $512\, Hz$. If the tube is open at both the ends, the fundamental frequency will be

IIT JEEIIT JEE 1986Waves

Solution:

Given: Frequency of fundamental note when tube is closed $\left(n_{1}\right)=512 \,Hz$.
We know that frequency of fundamental note for closed organ pipe $\left(n_{2}\right)=\frac{v}{2 l}$ and for open pipe $\left(n_{1}\right)=\frac{v}{4 l}$ or $n_{2}=2 n_{1}=2 \times 512$
$=1024 \,Hz$