Vibrating tuning fork of frequency $n$ is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $8.75 cm$, the intensity of sound changes from a maximum to minimum. If the speed of sound is $350 \,m/s. $ Then $n$ is .... $Hz$
Medium
Download our app for free and get started
(b) When the piston is moved through a distance of $8.75cm$, the path difference produced is $2 \times 8.75\,cm = 17.5\,cm$. This must be equal to$\frac{\lambda }{2}$ for maximum to change to minimum.
$\therefore$ $\frac{\lambda }{2} = 17.5 cm$
==> $\lambda = 35cm = 0.35m$
So, $v = n\lambda $==> $n = \frac{v}{\lambda } = \frac{{350}}{{0.35}} = 1000Hz$
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
- 2The equation of a wave is $y = 2\sin \pi (0.5x - 200t)$, where $x$ and $y$ are expressed in $cm$ and $t$ in $sec.$ The wave velocity is ...... $cm/sec$View Solution
- 3A train, standing in a station-yard, blows a whistle of frequency $400\,Hz$ in still air. The wind starts blowing in the direction from the yard to the station with a speed of $10\,ms^{-1}$ then value of frequency and speed of sound for observer will be (the speed of sound in still is $340\, ms^{-1}$ )View Solution
- 4Two sources of sound $A$ and $B$ produces the wave of $350 Hz$, they vibrate in the same phase. The particle $P$ is vibrating under the influence of these two waves, if the amplitudes at the point $P$ produced by the two waves is $0.3 mm$ and $0.4 mm,$ then the resultant amplitude of the point $P$ will be when $AP -BP = 25 cm$ and the velocity of sound is $350 m/sec$ .... $mm$View Solution
- 5The first resonance length of a resonance tube is $40\,\, cm$ and the second resonance length is $122\,\, cm$. The third resonance length of the tube will be... $cm$View Solution
- 6View SolutionWhen we hear a sound, we can identify its source from
- 7Standing waves are generated on a sonometer string loaded with a cylindrical body. If the cylinder is completely immersed in water, the length of the loops changes by a factor of $2.2$ . The specific gravity of the material of the cylinder isView Solution
- 8The driver of a car travelling with speed $30 \,\,m/s$ towards a hill sounds a horn of frequency $600\,\, Hz.$ If the velocity of sound in air is $330 \,\,m/s$, the frequency of reflected sound as heard by driver is .... $Hz$View Solution
- 9A closed organ pipe of length $L$ and an open organ pipe contain gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe isView Solution
- 10Two cars moving in opposite directions approach each other with speed of $22\, m s^{-1}$ and $16.5 \, m s^{-1}$ respectively. The driver of the first car blows a horn having a frequency $400 \,Hz.$ The frequency heard by the driver of the second car is ..... $Hz$ (velocity of sound is $340 \, m s^{-1}$)View Solution