For a certain organ pipe, three successive resonance frequencies are observed at $425,595,$ and $765 \,Hz$ respectively, Taking the speed of sound in air to be $340 \,m / s$ the fundamental frequency of the pipe (in $Hz$ ) is .........
A$425$
B$170$
C$85$
D$245$
Medium
Download our app for free and get started
C$85$
c (c)
Frequencies are $425,595,765$.
Among the options the $HCF$ is here $85$.
Since resonant frequencies are odd multiples of fundamental frequency.
The fundamental frequency is $85 \,Hz$.
Download our app
and 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.*
An observer moves towards a stationary source of sound with a speed $1/5^{th}$ of the speed of sound. The wavelength and frequency of the source emitted are $\lambda $ and $f$ respectively. The apparent frequency and wavelength recorded by the observer are respectively
An open tube is in resonance with string (frequency of vibration of tube is $n_0$). If tube is dipped in water so that $75\%$ of length of tube is inside water, then the ratio of the frequency of tube to string now will be
A firecracker exploding on the surface of a lake is heard as two sounds a time interval $t$ apart by a man on a boat close to water surface. Sound travels with a speed $u$ in water and a speed $v$ in air. The distance from the exploding firecracker to the boat is
A man fires a bullet standing between two cliffs. First echo is heard after $3$ seconds and second echo is heard after $ 5$ seconds. If the velocity of sound is $330 m/s$, then the distance between the cliffs is .... $m$
A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will
The equation of displacement of two waves are given as ${y_1} = 10\sin \left( {3\pi t + \frac{\pi }{3}} \right)$; ${y_2} = 5(\sin 3\pi t + \sqrt 3 \cos 3\pi t)$. Then what is the ratio of their amplitudes
A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
A tuning fork $A$ of unknown frequency produces $5\, beats/s$ with a fork of known frequency $340\, Hz$. When fork $A$ is filed, the beat frequency decreases to $2\, beats/s.$ What is the frequency of fork $A$ ? (in $Hz$)