A organ pipe open on both ends in the $n^{t h}$ harmonic is in resonance with a source of $1000 H z$ . The length of pipe is $16.6 c m$ and speed of sound in air is $332 m / s e c$ . Find the value of $n$ .

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Solution

The correct option is A $1$
$f = \frac{n V}{2 ℓ}$
$1000 = \frac{n \times 332}{2 \times 16.6 \times 10^{- 2}}$
$10 = \frac{n \times 332}{33.2}$
$n = 1$

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A organ pipe open on both ends in the nth harmonic is in resonance with a source of 1000Hz. The length of pipe is 16.6cm and speed of sound in air is 332m/sec. Find the value of n.

The correct option is A 1f=nV2ℓ1000=n×3322×16.6×10−210=n×33233.2n=1

A organ pipe open on both ends in the $n^{t h}$ harmonic is in resonance with a source of $1000 H z$ . The length of pipe is $16.6 c m$ and speed of sound in air is $332 m / s e c$ . Find the value of $n$ .

The correct option is A $1$
$f = \frac{n V}{2 ℓ}$
$1000 = \frac{n \times 332}{2 \times 16.6 \times 10^{- 2}}$
$10 = \frac{n \times 332}{33.2}$
$n = 1$