A stationary source is emitting sound at a fixed frequency $\mathrm{f}_0$, which is reflected by two cars approaching the source. The difference between the frequencies of sound reflected from the cars is $1.2 \%$ of $f_0$. What is the difference in the speeds of the cars (in $\mathrm{km}$ per hour) to the nearest integer? The cars are moving at constant speeds much smaller than the speed of sound which is $330 \mathrm{~ms}^{-1}$.
IIT 2010, Advanced
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
- 1The engine of a train moving with speed $10\,ms ^{-1}$ towards a platform sounds a whistle at frequency $400\,Hz$. The frequency heard by a passenger inside the train is $........\,Hz$ (neglect air speed. Speed of sound in air $330\,ms ^{-1}$ )View Solution
- 2The equation of travelling wave is $y=a \sin 2 \pi\left(p t-\frac{x}{5}\right)$. Then the ratio of maximum particle velocity to wave velocity is ...........View Solution
- 3An 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 respectivelyView Solution
- 4A wire of length $L$ and mass per unit length $6.0\times 10^{-3}\; \mathrm{kgm}^{-1}$ is put under tension of $540\; \mathrm{N}$. Two consecutive frequencies that it resonates at are : $420\; \mathrm{Hz}$ and $490 \;\mathrm{Hz}$. Then $\mathrm{L}$ in meters isView Solution
- 5View SolutionAsufficiently long close organ pipe has a small hole at its bottom. Initially the pipe is empty. Water is poured into the pipe at a constant rate. The fundamental frequency of the air column in the pipe
- 6View SolutionThe minimum audible wavelength at room temperature is about
- 7A wave on a string is travelling and the displacement of particles on it is given by $x = A\, sin\, (2t -0.1\, x)$. Then the wavelength of the wave isView Solution
- 8The wavelength is $120 cm$ when the source is stationary. If the source is moving with relative velocity of $60\, m/sec$ towards the observer, then the wavelength of the sound wave reaching to the observer will be ... $cm$ (velocity of sound $= 330 \,m/s$)View Solution
- 9Two closed organ pipes, when sounded simultaneously gave $4$ beats per sec. If longer pipe has a length of $1m$. Then length of shorter pipe will be, ... $cm$ $(v = 300 m/s)$View Solution
- 10In a resonance pipe the first and second resonances are obtained at depths $22.7 cm$ and $70.2 cm$ respectively. What will be the end correction ..... $cm$View Solution