A set of $20$ tuning forks is arranged in a series of increasing frequencies. If each fork gives $4$ beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last fork is $\dots \; Hz$.
JEE MAIN 2022, Diffcult
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
- 1A source of sound is moving with constant velocity of $20\, m/s$ emitting a note of frequency $1000 \,Hz.$ The ratio of frequencies observed by a stationary observer while the source is approaching him and after it crosses him will beView Solution
(Speed of sound $v = 340\, m/s$)
- 2A tuning fork of frequency $512\, Hz$ makes $4$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was .... $Hz$View Solution
- 3A standing wave $y = A sin \left( {\frac{{20}}{3}\pi \,x} \right) cos (1000\pi t)$ is maintained in a taut string where y and $x$ are expressed in meters. The distance between the successive points oscillating with the amplitude $A/2$ across a node is equal to ... $cm$View Solution
- 4View SolutionIn a stationary wave all the particles
- 5A string under a tension of $129.6\,\, N$ produces $10\,\, beats /sec$ when it is vibrated along with a tuning fork. When the tension is the string is increased to $160\,\, N,$ it sounds in unison with same tuning fork. calculate fundamental freq. of tuning fork .... $Hz$View Solution
- 6The distance between two consecutive crests in a wave train produced in a string is $5 cm.$ If $2$ complete waves pass through any point per second, the velocity of the wave is ..... $cm/sec$View Solution
- 7Two trains move towards each other with the same speed. The speed of sound is $340 \;m / s$. If the height of the tone of the whistle of one of them heard on the other changes $9 / 8$ times, then the speed of each train should be ........... $m/sec$View Solution
- 8Two sound waves with wavelengths $5.0\,\, m$ and $5 .5\,\, m$ respectively, each propagate in a gas with velocity $330\,\, m/s.$ We expect the following number of beats per second.View Solution
- 9The couple of tuning forks produces $2$ beats in the time interval of $0.4$ seconds. So the beat frequency is .... $Hz$View Solution
- 10Beats are produced by two waves given by $y_1 = a\,\, sin\,\,2000\,\, \pi t$ and $y_2 = a\,\, sin\,\, 2008\,\, \pi t$ . The number of beats heard per second isView Solution