An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pipe is

Question

TestHub · Accepted Answer

(D) ℓ c ​ ℓ 0 ​ ​ = ? For closed pipe For open pipe ​ n p ​ = n 0 ​ ( 2 p + 1 ) ⇒ n l c ​ = n o 3 ​ n p ​ = n 0 ​ ( p + 1 ) ⇒ n l o ​ = n 0 2 ​ ​ ∴ ∴ ​ n 1 c ​ = 3 n 0 ​ = 4 ℓ c ​ 3 V ​ n 10 ​ = 2 n 0 ​ = 2 ℓ 0 ​ 2 V ​ 4 ℓ c ​ 3 V ​ = 2 ℓ 0 ​ 2 V ​ ℓ c ​ ℓ 0 ​ ​ = 3 4 ​ ​

Physics - Sound Wave Question with Solution | TestHub

Options:

Doubts & Discussion