If $v$ is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency $n$
Medium
Download our app for free and get started
(a) For shortest length of pipe mode of vibration must be fundamental
i.e., $n = \frac{v}{{4l}}$==> $l = \frac{v}{{4n}}.$
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
- 1Two tuning forks have frequencies $450\, Hz$ and $454\, Hz$ respectively. On sounding these forks together, the time interval between successive maximum intensities will be .... $sec$View Solution
- 2The frequencies of two sound sources are $256 Hz$ and $260 Hz$. At $t = 0,$ the intensity of sound is maximum. Then the phase difference at the time $t = \frac{1}{16}\, sec$ will beView Solution
- 3If the wave equation $y = 0.08\sin \frac{{2\pi }}{\lambda }(200t - x)$ then the velocity of the wave will beView Solution
- 4The equation for spherical progressive wave is (where $r$ is the distance from the source)View Solution
- 5A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at $STP$. Assuming the speed of sound in air at $STP$ is $300\; \mathrm{m} / \mathrm{s}$, the frequency difference between the fundamental and second harmonic of this pipe is ___ $\mathrm{Hz}$View Solution
- 6A transverse pulse generated at the bottom of a uniform rope of length $L$, travels in upward direction. The time taken by it to travel the full length of rope will beView Solution
- 7View SolutionWhich of the following is the example of transverse wave
- 8Regarding speed of sound in gas match the followingView Solution
$(A)$ Temperature of gas is made $4$ times and pressure $2$ times
$(P)$ Speed becomes $2\sqrt 2$ times
$(B)$ Only pressure is made $4$ times without change in temperature
$(Q)$ Speed become $2$ times
$(C)$ Only temperature is changed to $4$ times
$(R)$ Speed remains unchanged
$(D)$ Molecular mass of the gas is made $4$ times
$(S)$ Speed becomes half
- 9A standing wave having $3$ nodes and $2$ antinodes is formed between two atoms having a distance $1.21\;\mathring A$ between them. The wavelength of the standing wave is .... $\mathop A\limits^o $View Solution
- 10A transverse wave is represented by $y=2 \sin$ $(\omega t - kx ) cm$. The value of wavelength (in $cm$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be.View Solution