Question 315: Waves

Question

An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column has

Accepted Answer

Frequency of $\mathrm{n}^{	ext {th }}$ harmonic of a closed pipe $\mathrm{f}_{\mathrm{n}}=\frac{\mathrm{nV}}{4 \mathrm{~L}}$
Frequency of different modes of vibration in a closed pipe $f_n^{\prime}=\frac{(2 n-1) V}{4 L_1}$
$	herefore \quad$ Frequency of $2^{	ext {nd }}$ overtone, $\mathrm{f}_3=\frac{5 \mathrm{~V}}{4 \mathrm{~L}_1} \quad(\mathrm{n}=3)$
In a closed pipe, the number of nodes and antinodes are the same. Hence, there will be 3 nodes and 3 antinodes.

Answer

three nodes and two antinodes.

Answer

three nodes and three antinodes.

Answer

four nodes and three antinodes.

Answer

three nodes and four antinodes.

Waves

An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column has

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