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

Question

An organ pipe open at both ends in the nth harmonic is in resonance with a source of frequency 1000 Hz. The length of pipe is 16.6 cm and speed of sound in air is 332 m / sec. Find the value of n. Empty Qlmg (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

f =(n.v/2l) ⇒ 1000=(n×332/2×16.6×10-2) ⇒ 10=(n×332/33.2) ⇒ n=1

Q. An organ pipe open at both ends in the nth harmonic is in resonance with a source of frequency $1000 Hz$ . The length of pipe is $16.6 c m$ and speed of sound in air is $332 m / sec$ . Find the value of $n$ . Empty Qlmg

1

2

3

4

$f = \frac{n . v}{2 l}$
$\Rightarrow 1000 = \frac{n \times 332}{2 \times 16.6 \times 1 0 ^{- 2}}$
$\Rightarrow 10 = \frac{n \times 332}{33.2} \Rightarrow n = 1$

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

1

2

3

4

f=2ln.v​ ⇒1000=2×16.6×10−2n×332​ ⇒10=33.2n×332​⇒n=1

Q. An organ pipe open at both ends in the nth harmonic is in resonance with a source of frequency $1000 Hz$ . The length of pipe is $16.6 c m$ and speed of sound in air is $332 m / sec$ . Find the value of $n$ . Empty Qlmg

$f = \frac{n . v}{2 l}$
$\Rightarrow 1000 = \frac{n \times 332}{2 \times 16.6 \times 1 0 ^{- 2}}$
$\Rightarrow 10 = \frac{n \times 332}{33.2} \Rightarrow n = 1$