In a closed end pipe of length $105 \,\,cm,$ standing waves are set up corresponding to the third overtone. What distance from the closed end, amongst the following, is a pressure Node ..... $cm$ ?
Advanced
Download our app for free and get started
Given, $\lambda=105 \mathrm{cm}=1.05 \mathrm{m}$
Third overtone of closed pipe,
$1=\frac{7 \lambda}{4}$
So, $\frac{\lambda}{4}=\frac{1}{7}=\frac{1.05}{7}=0.15 \mathrm{m}$ or $15 \mathrm{cm}$
From closed end,
$3 \times 15=45 \mathrm{cm}$
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 vibrating strings of the same material but lengths $L$ and $2L$ have radii $2r$ and $r$ respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length $L$ with frequency $n_1$ and the other with frequency $n_2$. The ratio $n_1/n_2$ is given byView Solution
- 2In a wave motion $y = a\sin (kx - \omega t)$, $y$ can representView Solution
- 3If the ratio of amplitude of two waves is $4 : 3$. Then the ratio of maximum and minimum intensity will beView Solution
- 4Two closed organ pipes, when sounded simultaneously gave $4$ beats per sec. If longer pipe has a length of $1m$. Then length of shorter pipe will be, ... $cm$ $(v = 300 m/s)$View Solution
- 5View SolutionAn empty vessel is partially filled with water, then the frequency of vibration of air column in the vessel
- 6A wire of $9.8 \times {10^{ - 3}}kg{m^{ - 1}}$ passes over a frictionless light pulley fixed on the top of a frictionless inclined plane which makes an angle of $30°$ with the horizontal. Masses $m$ and $M$ are tied at the two ends of wire such that $m$ rests on the plane and $M$ hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of $100 ms^{-1}$. Chose the correct option $m =$ ..... $kg$View Solution
- 7Two trains, one coming towards and another going away from an observer both at $4\; m/s$ produce whistle simultaneously of frequency $300 \;Hz$. Find the number of beats producedView Solution
- 8Two tuning forks when sounded together produced $4$ beats/sec. The frequency of one fork is $256.$ The number of beats heard increases when the fork of frequency $256$ is loaded with wax. The frequency of the other fork isView Solution
- 9$Assertion :$ The base of Laplace correction was that exchange of heat between the region of compression and rarefaction in air is negligible.View Solution
$Reason :$ Air is bad conductor of heat and velocity of sound in air is quite large. - 10A stretched string of length $l,$ fixed at both ends can sustain stationary waves of wavelength $\lambda ,$ given byView Solution