Question

A pipe is 30 cm long open at both ends which harmonic mode of the pipe is residently exerted by a 1.1 kilo hertz source which resonance with the same source be observed if the one if the pipe is closed speed of sound wave 330 M per second

Answer 1

Answer: The resonance will not seen in pipe open at one end.

Explanation:

Given that,

Length l = 30 cm

Frequency $f_{s}= 1.1 khz$

Speed of sound wave v = 330 m/s

We know that,

Frequency $f_{s}= 1.1 khz$

Resonant frequency for pipe open at both end

$f= \dfrac{n}{2L}v$

Resonant frequency for pipe close at one end

$f= \dfrac{2m+1}{4L}v$

The resonance will be seen when  $f_{s} = f$

Therefore, the resonance frequency

For m = 0

$f= \dfrac{1}{4\times0.3}\times 330$

$f = 275 hz$

For m = 1

$f= \dfrac{2+1}{4\times0.3}\times 330$

$f = 825 hz$

For m = 2

$f= \dfrac{4+1}{4\times0.3}\times 330$

$f = 1375 hz$

So, $f_{s}\neq f$ for any value of m

Hence, The resonance will not seen in pipe open at one end.

Answer 2

Answer:

Resonance will not be seen in pipe.