A closed pipe and an open pipe have their fir | vedclass

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

Question

(C) The fundamental frequency of an open pipe is $f_{o,fund} = \frac{v}{2L_o}$. The first overtone of an open pipe is the second harmonic,given by $f_

Vedclass · Accepted Answer

$3: 4$

Vedclass · Answer

(C) The fundamental frequency of an open pipe is $f_{o,fund} = \frac{v}{2L_o}$. The first overtone of an open pipe is the second harmonic,given by $f_{o,1} = 2 	imes \frac{v}{2L_o} = \frac{v}{L_o}$.The fundamental frequency of a closed pipe is $f_{c,fund} = \frac{v}{4L_c}$. The first overtone of a closed pipe is the third harmonic,given by $f_{c,1} = 3 	imes \frac{v}{4L_c} = \frac{3v}{4L_c}$.Given that the frequencies of the first overtones are equal:$\frac{v}{L_o} = \frac{3v}{4L_c}$Rearranging the terms to find the ratio of the length of the closed pipe $(L_c)$ to the open pipe $(L_o)$:$\frac{L_c}{L_o} = \frac{3}{4}$Therefore,the ratio of the length of the closed pipe to the open pipe is $3:4$.

$A$ closed pipe and an open pipe have their first overtone equal in frequency. Then the lengths of these pipes are in the ratio

Similar Questions

When an open pipe is closed from one end,the third overtone of the closed pipe is higher in frequency by $150 \ Hz$ than the second overtone of an open pipe. The fundamental frequency of the open-ended pipe will be (in $Hz$)

$A$ resonance air column of length $20 \ cm$ resonates with a tuning fork of frequency $250 \ Hz$. The speed of sound in air is .... $m/s$.

The lengths of the two organ pipes open at both ends are $L$ and $(L+L_1)$. If they are sounded together,the beat frequency will be ($v=$ velocity of sound in air).

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is $5 / x$. The value of $x$ is . . . . . . .

$A$ pipe open at both ends has a length of $1 \,m$. The air column in the pipe cannot resonate for which of the following frequencies (in $\,Hz$)? (Neglect end correction, speed of sound in air $= 340 \,m/s$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module