A closed organ pipe of length 1.2 , m vibrate | vedclass

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

Question

(B) For a closed organ pipe,the length $L$ is related to the wavelength $\lambda$ for the $n^{th}$ overtone as $L = (2n + 1) \frac{\lambda}{4}$.For th

Vedclass · Accepted Answer

$0.4 \, m$ from the open end

Vedclass · Answer

(B) For a closed organ pipe,the length $L$ is related to the wavelength $\lambda$ for the $n^{th}$ overtone as $L = (2n + 1) \frac{\lambda}{4}$.For the first overtone,$n = 1$,so $L = \frac{3\lambda}{4}$.Given $L = 1.2 \, m$,we have $\frac{3\lambda}{4} = 1.2 \, m$,which gives $\lambda = 1.6 \, m$.In a standing wave,pressure variation is maximum at the displacement nodes.In a closed organ pipe,the open end is a displacement antinode (pressure node),and the closed end is a displacement node (pressure antinode).The displacement nodes occur at distances $x = 0, \frac{\lambda}{2}, \lambda, \dots$ from the closed end.Alternatively,measuring from the open end,the displacement nodes occur at $x = \frac{\lambda}{4}, \frac{3\lambda}{4}, \dots$ from the open end.For the first overtone,the first displacement node (maximum pressure variation) is at $\frac{\lambda}{4} = \frac{1.6}{4} = 0.4 \, m$ from the open end.

$A$ closed organ pipe of length $1.2 \, m$ vibrates in its first overtone mode. The pressure variation is maximum at:

Similar Questions

In a closed organ pipe, the number of nodes formed in the fifth and ninth harmonics are respectively:

$A$ cylindrical tube open at both ends has a fundamental frequency $f$ in air. The tube is dipped vertically in water so that $60 \%$ of the tube is in water. Then the fundamental frequency of the air column is

The end correction for the vibrations of air column in a tube of circular cross-section will be more if the tube is

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

In a closed organ pipe,the frequency of the fundamental note is $50 \ Hz$. Which of the following frequencies will not be emitted by it?

Vedclass Test Series

Exam Paper Generator

Online Exam Module