A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is ( a-1a ) then the value of a is ____

Question

Accepted Answer

Correct answer: 16. (16) For closed organ pipe f_c=(2n+1) v4l= 15v4l For open organ pipe f_0= (n+1 ) v2l= 8v2l f_cf_o= 1516= a-1a ⇒a=16

$A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is (\frac{a - 1}{a}) then the value of a is ____$