A source of frequency $\nu$ gives $5$ beats/second when sounded with a source of frequency $200 \;Hz$. The second harmonic of frequency $2\nu$ of source gives $10$ beats/second when sounded with a source of frequency $420\; Hz$. The value of $v$ is .... $Hz$
AIPMT 1994, Medium
Download our app for free and get started
(b) Initially number of beats per second $= 5$
$ \therefore$ Frequency of pipe $= 200 \pm \,5 = 195 Hz$ or $205 Hz$ ...$(i)$
Frequency of second harmonics of the pipe $= 2n$
and number of beats in this case $= 10$
$ \therefore$ $2n = 420 \pm \, 10 $
==> $410 Hz$ or $430 Hz$
==> $n = 205 Hz$ or $215 Hz$ ... $(ii)$
From equation $(i)$ and $(ii)$ it is clear that $n = 205 Hz$
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
- 1An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is $50\, cm.$ The next larger length of the column resonating with the same tuning fork is .... $cm$View Solution
- 2Two identical flutes produce fundamental notes of frequency $300 Hz$ at ${27^o} C.$ If the temperature of air in one flute is increased to ${31^o}$C, the number of the beats heard per second will beView Solution
- 3A stone is dropped in a well which is $19.6\,m$ deep. Echo sound is heard after $2.06\, sec$ (after dropping) then the velocity of sound is .... $m/sec$View Solution
- 4If $l_1$ and $l_2$ are the lengths of air column for the first and second resonance when a tuning fork of frequency $n$ is sounded on a resonance tube, then the distance of the displacement antinode from the top end of the resonance tube is:View Solution
- 5Transverse wave propagates in a medium with a velocity of $1450\,m/s$ . The distance between the nearest points at which the oscillations of the particles carried in the opposite phase $\pi $ is $0.1\,m$ . What is the frequency of the wave ..... $Hz$ ?View Solution
- 6View SolutionAn empty vessel is partially filled with water, then the frequency of vibration of air column in the vessel
- 7A travelling wave pulse is given by $y=\frac{4}{3 x^2+48 t^2+24 x t+2}$ where $x$ and $y$ are in metre and $t$ is in second. The velocity of wave is ........... $m / s$View Solution
- 8If the speed of the wave shown in the figure is $330m/s$ in the given medium, then the equation of the wave propagating in the positive $x-$direction will be (all quantities are in $M.K.S.$ units)View Solution
- 9View SolutionApparatus used to find out the velocity of sound in gas is
- 10Two whistles $A$ and $B$ each have a frequency of $500\,\,Hz$. $A$ is stationary and $B$ is moving towards the right (away from $A$) at a speed of $50\,\, m/s$. An observer is between the two whistles moving towards the right with a speed of $25\,\, m/s.$ The velocity of sound in air is $350 \,\,m/s$. Assume there is no wind. Then which of the following statements are true:View Solution