$5\, beats/ second$ are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either $0.95\,m$ or $1\,m$ . The frequency of the fork will be ... $Hz$
JEE MAIN 2018, Medium
Download our app for free and get started
Probable frequencies of tuning fork be $n \pm5$
Frequency of sonometer wire, $n \propto \frac{1}{l}$
$\therefore \frac{n+5}{n-5}=\frac{100}{95} \Rightarrow 95(n+5)=100(n-5)$
or, $95 n+475=100 n-500$
or, $5 n=975$
or, $n=\frac{975}{5}=195 \mathrm{Hz}$
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
- 1A wave equation which gives the displacement along $y-$direction is given by $y = 0.001\sin (100t + x)$ where $x$ and $y$ are in meterand t is time in second. This represented a waveView Solution
- 2View SolutionA wave is reflected from a rigid support. The change in phase on reflection will be
- 3The total length of a sonometer wire between fixed ends is $110\, cm$. Two bridges are placed to divide the length of wire in ratio $6 : 3 : 2$. The tension in the wire is $400\, N$ and the mass per unit length is $0.01\, kg/m$ . What is the minimum common frequency with Which three parts can vibrate ........... $Hz$ ?View Solution
- 4A sinusoidal progressive wave is generated in a string. It’s equation is given by $y = (2\,\, mm) sin (2\pi x - 100 \pi t + \pi /3)$. The time when particle at $x = 4$ $m$ first passes through mean position, will beView Solution
- 5A source of sound is travelling with a velocity $40\, km/hour$ towards observer and emits sound of frequency $2000 Hz$. If velocity of sound is $1220 \,km/hour$, then what is the apparent frequency heard by an observer .... $Hz$View Solution
- 6The ratio of the speed of sound in nitrogen gas to that in helium gas, at $300 K$ isView Solution
- 7A 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
- 8A source of sound $S$ of frequency $500 Hz$ situated between a stationary observer $O$ and a wall $W$, moves towards the wall with a speed of $2 m/s$. If the velocity of sound is $332 m/s$, then the number of beats per second heard by the observer is (approximately)View Solution
- 9View SolutionIf the temperature of the atmosphere is increased the following character of the sound wave is effected
- 10A musician using an open flute of length $50\,cm$ produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of $10 \,km/h.$ If the wave speed is $330\,m/s,$ the frequency heard by the running person shall be close to...... $Hz$View Solution