An organ pipe P_1 closed at one end is vibrat | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For a pipe closed at one end,the frequency of the $n$-th overtone is given by $f_n = \frac{(2n+1)V}{4L_1}$,where $n$ is the overtone number. For t

Vedclass · Accepted Answer

$0.375$

Vedclass · Answer

(B) For a pipe closed at one end,the frequency of the $n$-th overtone is given by $f_n = \frac{(2n+1)V}{4L_1}$,where $n$ is the overtone number. For the first overtone $(n=1)$,$f_1 = \frac{3V}{4L_1}$.For a pipe open at both ends,the frequency of the $n$-th overtone is given by $f_n = \frac{(n+1)V}{2L_2}$. For the third overtone $(n=3)$,$f_3 = \frac{4V}{2L_2} = \frac{2V}{L_2}$.Since both pipes are in resonance with the same tuning fork,their frequencies are equal: $\frac{3V}{4L_1} = \frac{2V}{L_2}$.Rearranging for the ratio of lengths: $\frac{L_1}{L_2} = \frac{3}{4 	imes 2} = \frac{3}{8} = 0.375$.

An organ pipe $P_1$ closed at one end is vibrating in its first overtone. Another pipe $P_2$ open at both ends is vibrating in its third overtone. They are in resonance with a given tuning fork. The ratio of the length of $P_1$ to that of $P_2$ is:

Similar Questions

If the seventh harmonic of a closed organ pipe is in unison with the fourth harmonic of an open organ pipe,then the ratio of the length of the closed pipe to that of the open pipe is:

In a pipe closed at one end,an air column is vibrating in its second overtone. The column has

If $l_1$ and $l_2$ are the lengths of the air column for the first and second resonance when a tuning fork of frequency $n$ is sounded on a resonance tube,then the distance of the displacement antinode from the top end of the resonance tube is:

$A$ closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio:

Two open organ pipes of lengths $50 \,cm$ and $51 \,cm$ are totally immersed in a medium. They are found to give $40$ beats in $10 \,s$ when each is sounding at its fundamental note. The speed of sound in this medium is (in $\,ms^{-1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module