For a certain organ pipe, the first three resonance frequencies are in the ratio of $1:3:5$ respectively. If the frequency of fifth harmonic is $405\,Hz$ and the speed of sound in air is $324 \,ms ^{-1}$ the length of the organ pipe is $..........m.$
JEE MAIN 2023, Medium
Download our app for free and get started
For $5^{\text {th }}$ harmonic in closed organ pipe,
$f _5=\frac{5 V }{4 \ell} \Rightarrow 405=\frac{5 \times 324}{4 \ell}$
$\Rightarrow \ell=1 \,$
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
- 1When a guitar string is sounded with a $440\, Hz$ tuning fork, a beat frequency of $5\, Hz$ is heard. If the experiment is repeated with a tuning fork of $437\,Hz$, the beat frequency is $8\, Hz$. The string frequency $(Hz)$ isView Solution
- 2View SolutionA closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has
- 3View SolutionTransverse waves can propagate in
- 4Vibrating 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 .... $Hz$View Solution
- 5View SolutionSound waves of wavelength greater than that of audible sound are called
- 6A tuning fork of unknown frequency makes $3\,beats/sec$ with a standard fork of frequency $384\,Hz$ . The beat frequency decreases when a small piece of wax is put on the prong of the first. The frequency of the fork is .... $Hz$View Solution
- 7View SolutionIn a stretched string,
- 8View SolutionMechanical waves on the surface of a liquid are
- 9An open pipe of length $33 cm$ resonates with frequency of $100 Hz$. If the speed of sound is $330 m/s$, then this frequency isView Solution
- 10A car $P$ approaching a crossing at a speed of $10\, m/s$ sounds a horn of frequency $700\, Hz$ when $40\, m$ in front of the crossing. Speed of sound in air is $340\, m/s$. Another car $Q$ is at rest on a road which is perpendicular to the road on which car $P$ is reaching the crossing (see figure). The driver of car $Q$ hears the sound of the horn of car $P$ when he is $30\, m$ in front of the crossing. The apparent frequency heard by the driver of car $Q$ is .... $Hz$View Solution
