The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe 2 m long. The length of the open pipe is

The second overtone of an open pipe has the same frequency as the firs

1.	The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe 2 m long. The length of the open pipe is
Answer» (A) 8m (B) 4m (C) 2m (D) 1m Solution :For OPEN pipe, 3V)(2L) = ` frequency of second OVERTONE For closed pipe, `3f._(1) = (3v)/(4L.)=` frequency of first overtone Here, ` (3v)/(2L)= (3v)/(2L) = (3v)/(4L.)` `therefore L = 2L. = 2 xx 2 =4m`