The speed of the sound in air is 333 ms-1. The fundamental frequency of the open pipe is 333 Hz. The second overtone of the open organ pipe can be produced with a pipe of length.

Question

The speed of the sound in air is 333 ms-1. The fundamental frequency of the open pipe is 333 Hz. The second overtone of the open organ pipe can be produced with a pipe of length. (A) 0.5 m (B) 1.0 m (C) 1.5 m (D) 2.0 m

Tardigrade Admin · Accepted Answer

For second overtone n2 =(3v/2L) =2n1 Here v = speed of sound in air = 333 ms-1. n1 = fundamental frequency of the open pipe= 333 Hz ∴ (3 × 333/2L) = 3 × 333 or (1/2L) = 1 or L = frac12 = 0.5 m

Q. The speed of the sound in air is 333 $m s^{- 1} .$ The fundamental frequency of the open pipe is 333 Hz. The second overtone of the open organ pipe can be produced with a pipe of length.

0.5 m

1.0 m

1.5 m

2.0 m

For second overtone
$n_{2} = \frac{3 v}{2 L} = 2 n_{1}$
Here v = speed of sound in air = 333 $m s^{- 1} .$
$n_{1}$ = fundamental frequency of the open pipe= 333 Hz
$∴ \frac{3 \times 333}{2 L} = 3 \times 333$
or $\frac{1}{2 L} = 1$
or $L = f r a c 12 = 0.5 m$

Q. The speed of the sound in air is 333 ms−1. The fundamental frequency of the open pipe is 333 Hz. The second overtone of the open organ pipe can be produced with a pipe of length.