The first overtone of an o0pen organ pipe beats wi

Question

The first overtone of an o0pen organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of 2.2 Hz. The fundamental frequency of the closed organ pipe is 110 Hz. Find the lengths of the pipes.

Aditi Chauhan · Accepted Answer

Hello Student,Please find the answer to your questionFirst overtone frequencyℓ 0 = ℷ&rArr; (v1)0 = v/ℷ&rsquo; = v/ ℓ0 = 330/ ℓ0Fundamental frequencyℓc = ℷ1/4 &rArr; ℷ1 = 4 ℓc&rArr; (v1)c = v 4 ℓc = 10 Hz (given)But beat frequency is 2.2Case 1 : (v1)0 > (v1)c(v1)0 - (v1)c = 2.2&rArr; 330/ℓ0 &ndash; 330 = 2.2 &rArr; ℓ0 = 0.9933 mCase 2 : (v1)0 < (v1)c(v1)0 - (v1)c = 2.2330 &ndash; 330/ℓ0 = 2.2 &rArr; ℓ0 = 1.006 mThanksAditi ChauhanaskIITians Faculty

Wave Motion> The first overtone of an o0pen organ pipe...

The first overtone of an o0pen organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of 2.2 Hz. The fundamental frequency of the closed organ pipe is 110 Hz. Find the lengths of the pipes.

Simran Bhatia , 10 Years ago

Aditi Chauhan

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Wave Motion> The first overtone of an o0pen organ pipe...

The first overtone of an o0pen organ pipe beats with the first overtone of a closed organ pipe with a beat frequency of 2.2 Hz. The fundamental frequency of the closed organ pipe is 110 Hz. Find the lengths of the pipes.

Simran Bhatia , 10 Years ago

Aditi Chauhan

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

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