The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from $420\, Hz$ to $490\, Hz ,$ when he hears it after it gets reflected from the wall. Find the speed of the bus (in $kmh^{-1}$) if speed of the sound is $330\, ms ^{-1}$.
JEE MAIN 2020, 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
- 1If $n _{1}, n_{2}$ and $n _{3}$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given byView Solution
- 2A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by $y\left( {x,t} \right) = 0.5\sin\, \left( {\frac{{5\pi }}{4}x} \right)\,\cos\, \left( {200\,\pi t} \right)$. What is the speed of the travelling wave moving in the positive $x$ direction .... $m/s$ ? ($x$ and $t$ are in meter and second, respectively.)View Solution
- 3A wave pulse on a string has the dimension shown in figure. The waves speed is $v = 1 \,\,cm/s$. If point $O$ is a free end. The shape of wave at time $t = 3 \,\,s$ is :View Solution
- 4The figure represents the instantaneous picture of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the correct statement $(s)$ related to the movement of the points shown in the figure. The maximum displaced points areView Solution
- 5Two sources of sound placed close to each other, are emitting progressive waves given by $ y_1=4sin\left( {600\pi t} \right)$ and $y_2=5sin\left( {608\pi t} \right)$ An observer located near these two sources of sound will hearView Solution
- 6For a solid rod, the Young's modulus of elasticity is $3.2 \times 10^{11}\,Nm ^{-2}$ and density is $8 \times 10^3\,kg\,m ^{-3}$. The velocity of longitudinal wave in the rod will be $......... \times 10^{3}\,ms^{-1}$View Solution
- 7A plane wave is described by the equation $y = 3\cos \left( {\frac{x}{4} - 10t - \frac{\pi }{2}} \right)$. The maximum velocity of the particles of the medium due to this wave isView Solution
- 8A steel rod of length $100\, cm$ is clamped at the middle. The frequency of the fundamental mode for the longitudinal vibrations of the rod is ..... $kHz$ (Speed of sound in steel $= 5\, km\, s^{-1}$)View Solution
- 9The phase difference between two waves represented byView Solution
${y_1} = {10^{ - 6}}\sin [100\,t + (x/50) + 0.5]m$
${y_2} = {10^{ - 6}}\cos \,[100\,t + (x/50)]m$
where $ x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $ rad$
- 10Two closed organ pipes of length $100 \,cm$ and $101 \,cm$ $16$ beats in $20\, sec$. When each pipe is sounded in its fundamental mode calculate the velocity of sound .... $ms^{-1}$View Solution