An organ pipe of length $L$ is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are
Medium
Download our app for free and get started
$\mathrm{L}=(2 \mathrm{n}-1) \frac{\lambda}{4}$
$\lambda=\frac{4 \mathrm{L}}{(2 \mathrm{n}-1)} \Rightarrow \lambda_{1}=\frac{4 \mathrm{L}}{2(1)-1}=4 \mathrm{L}$
$\lambda_{2}=\frac{4 \mathrm{L}}{4-1}=\frac{4 \mathrm{L}}{3}$ and $\lambda_{3}=\frac{4 \mathrm{L}}{6-1}=\frac{4 \mathrm{L}}{5}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is $20 \,cm$. The length of the open organ pipe is........$cm$.View Solution
- 2View SolutionThe minimum intensity of sound is zero at a point due to two sources of nearly equal frequencies, when
- 3In order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced to $\frac{3}{4}$$^{th}$ of the original length and the tension is changed. The factor by which the tension is to be changed, isView Solution
- 4A police car horn emits a sound at a frequency $240 Hz$ when the car is at rest. If the speed of the sound is $330 m/s$, the frequency heard by an observer who is approaching the car at a speed of $11 m/s,$ is ... $Hz$View Solution
- 5Ultrasonic, Infrasonic and audible waves travel through a medium with speeds ${V_u},\,{V_i}$ and ${V_a}$ respectively, thenView Solution
- 6${v_1}$ and ${v_2}$ are the velocities of sound at the same temperature in two monoatomic gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. If $\frac{\rho _1}{\rho _2} = \frac{1}{4}$ then the ratio of velocities ${v_1}$ and ${v_2}$ will beView Solution
- 7A wire of density $8 \times 10^3\,kg / m ^3$ is stretched between two clamps $0.5\,m$ apart. The extension developed in the wire is $3.2 \times 10^{-4}\,m$. If $Y =8 \times 10^{10}\,N / m ^2$, the fundamental frequency of vibration in the wire will be $......\,Hz$.View Solution
- 8A pipe of length $1.5\ m$ closed at one end is filled with gas and resonates in its fundamental mode with a tuning fork. Another open organ pipe of same dimensions filled with air resonates in its fundamental mode with same tuning fork. If experiment is performed at $30\,^oC$ (speed of sound in air is $360\ m/sec$ at $30\,^oC$), the speed of sound at $0\,^oC$ in gas is ...... $m/sec$ (Neglect end correction)View Solution
- 9The stationary wave produced on a string is represented by the equation $y = 5\cos (\pi x/3)\sin 40\pi \,t$. Where $x$ and $y$ are in cm and $t$ is in seconds. The distance between consecutive nodes is .... $cm$View Solution
- 10Two tuning forks $A$ and $B$ vibrating simultaneously produce $5$ beats. Frequency of $B$ is $512.$ It is seen that if one arm of $A$ is filed, then the number of beats increases. Frequency of $A$ will beView Solution