Question

Frequency of 2nd harmonic in open organ pipe is 34 cm find frequency

Answer 1

Answer:

hey mate

Explanation:

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be. A .Let length of open organ pipe is L

And v is speed of sound wave .

fundamental frequency of open organ pipe is given by η₁ = v/2L

Frequency of 3rd harmonic of closed organ pipe is given by η₂ = 3v/4L'

[For (2n-1)th harmonic in case of closed organ pipe is given by (2n-1)/4L]

Here L' is the length of closed organ pipe .

A/C to question,

fundamental frequency resonate with frequency of 3rd harmonic of closed organ pipe .

η₁ = η₂

v/2L = 3v/4L'

⇒ 4L' = 6L

⇒2L' = 3L

L' = 20 cm is given

∴ L = 2/3 × 20 = 40/3 cm

Hence, length of open organ pipe = 13.33 cm

follow this criteria.....@tharva