JEE Main 2024 Physics question
A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is then the value of a is .
Answer: 16
Solution
Closed pipe, 7th overtone: f = 15v/4L. Open pipe, 7th overtone: f = 8v/2L = 16v/4L. The ratio is 15/16 = (a − 1)/a, so a = 16.