A train moving towards a hill at a speed of $72\ km/hr$ sounds a whistle of frequency $500\ Hz$ . A wind is blowing from the hill at a speed of $36\ km/hr$ . If the speed of sound in air is $340\ m/s$ , the frequency heard by a man on the hill (nearly) is ... $Hz$
Medium
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If $\mathrm{n}^{\prime}$ represents the apparent frequency and $\mathrm{n}$ the actual one, then use the relation $\mathrm{n}^{\prime}=\mathrm{n}\left[\frac{(\mathrm{v} \pm \mathrm{w})}{(\mathrm{v} \pm \mathrm{w})-\mathrm{v}_{\mathrm{s}}}\right]$ where $\mathrm{v}$ is the velocity of sound with respect to wind, $w$ is the velocity of wind and $v_{s}$ that of the source. Note that in this case the observer at rest.
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$Assertion :$ Sound waves cannot travel in vacuum but light can travel in vacuum.
$Reason :$ Sound waves are longitudinal waves and they cannot be polarised but electromagentic waves are transverse and they can be polarised.
A train moves towards a stationary observer with speed $34 m/s$. The train sounds a whistle and its frequency registered by the observer is ${f_1}$. If the train’s speed is reduced to $17\, m/s$, the frequency registered is ${f_2}$. If the speed of sound is 340 m/s then the ratio ${f_1}/{f_2}$ is
stationary source is emitting sound at a fixed frequency $f_0$, 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 $km$ per hour) to the nearest integer ..... $km/hr$ ? The cars are moving at constant speeds much smaller than the speed of sound which is $330$ $ms^{-1}$.
A sound wave of frequency $\nu$ travels horizontally to the right. It is reflected from a large vertical plane surface moving to the left with a speed $v.$ The speed of sound in the medium is $c,$ then
The equation of a travelling wave is given by$y = 0.5\sin (20x - 400t)$ where $x$ and $y$ are in meter and $t$ is in second. The velocity of the wave is .... $m/s$
It is found that an increase in pressure of $100\, kPa$ causes a certain volume of water to decrease by $5 × 10^{-3}$ percent of its original volume. Then the speed of sound in the water is about .... $m/s$ (density of water $10^3 \,kg/m^3$)
A tuning fork whose frequency as given by manufacturer is $512 Hz$ is being tested with an accurate oscillator. It is found that the fork produces a beat of $2 Hz$ when oscillator reads $514 Hz$ but produces a beat of $6 Hz$ when oscillator reads $510 Hz$. The actual frequency of fork is ..... $Hz$
A transverse pulse generated at the bottom of a uniform rope of length $L$, travels in upward direction. The time taken by it to travel the full length of rope will be