A car is moving towards a high cliff. The car driver sounds a horn of frequency $f$. The reflected sound heard by the driver has a frequency $2f$. If $v$ be the velocity of sound then the velocity of the car, in the same velocity units, will be
AIPMT 2004, Diffcult
Download our app for free and get started
Frequency of reflected sound heard by driver $n' = n\,\left( {\frac{{v + {v_O}}}{{v - {v_S}}}} \right)$
It is given that $n' = 2n$
Hence, $2n = n\left( {\frac{{v + {v_{car}}}}{{v - {v_{car}}}}} \right)$ ==> ${v_{car}} = v/3.$
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 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
- 2Figure shows a snapshot for a travelling sine wave along a string. Four elemental portions $a, b, c$ and $d$ are indicated on the string. The elemental portion which has maximum potential energy is/areView Solution
- 3Two sitar strings, $A$ and $B,$ playing the note $'Dha'$ are slightly out of tune and produce beats and frequency $5\,Hz.$ The tension of the string $B$ is slightly increased and the beat frequency is found to decrease by $3\,Hz$ . If the frequency of $A$ is $425\,Hz,$ the original frequency of $B$ is ... $Hz$View Solution
- 4A wave represented by the equation $y = A cos (kx - \omega t)$ is superimposed with another wave to form a statioary wave such that the point $x =0$ is a node. The equation of the other wave is:View Solution
- 5While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of $18\ cm$ during winter. Repeating the same experiment during summer, she measures the column length to be $x\ cm$ for the second resonance. ThenView Solution
- 6View SolutionIn a standing wave, all particles of the medium cross the mean position with
- 7If $\vec{u}$ is instantaneous velocity of particle and $\vec{v}$ is velocity of wave, thenView Solution
- 8A string wave equation is given $y=0.002 \sin (300 t-15 x)$ and mass density is $\mu=\frac{0.1\, kg }{m}$. Then find the tension in the string, (in $N$)View Solution
- 9View SolutionIn the experiment to determine the speed of sound using a resonance column,
- 10View SolutionWhich of the following equations represents a travelling wave ?