A man standing on a platform observes that the frequency of the sound of a whistle emitted by a train drops by $140 Hz$. If the velocity of sound in air is $330 \,m / s$ and the speed of the train is $70 \,m / s$, the frequency of the whistle is .......... $Hz$
Medium
Download our app for free and get startedPlay store
(b)

Velocity of sound in air $=330 \,m / s$.

Speed of train $=70 \,m / s$

Let initial frequency be $f_0$.

$f=f_0 \times \frac{v}{v+v_s}$

$f_0-f=140$

$f_0\left(1-\frac{330}{400}\right)=140$

$f_0=800 \,Hz$

art

Download our app
and 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

  • 1
    The frequency changes by $10\%$ as a sound source approaches a stationary observer with constant speed $v_s$. What would be the percentage change in frequency as the source recedes the observer with the same speed. ... $\%$ Given that $v_s < v$. ($v =$ speed of sound in air)
    View Solution
  • 2
    The equation of a progressive wave is given by $y = a\sin (628t - 31.4x)$

    If the distances are expressed in cms and time in seconds, then the wave velocity will be ...... $cm/sec$

    View Solution
  • 3
    The displacement at a point due to two waves are $y_1=4 \sin (500 \pi t)$ and $y_2=2 \sin (506 \pi t)$. The result due to their superposition will be
    View Solution
  • 4
    A source of sound $S$ is moving with the velocity of $50\,m/s$ towards a stationary observer. The observer measures the frequency of the sound as $1000\,Hz.$ What will be the apparent frequency of the source when it is moving away from the observer after crossing him ... $Hz$ ? (Take velocity of sound in air is $350\,m/s$ )
    View Solution
  • 5
    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
    View Solution
  • 6
    In a wave motion $y = a\sin (kx - \omega t)$, $y$ can represent
    View Solution
  • 7
    Two tuning forks $P$ and $Q$ are vibrated together. The number of beats produced are represented by the straight line $OA$ in the following graph. After loading $Q$ with wax again these are vibrated together and the beats produced are represented by the line $OB.$ If the frequency of $P$ is $341Hz,$ the frequency of $Q$ will be ... $ Hz$
    View Solution
  • 8
    A wave is represented by the equation$y = 7\sin \left( {7\pi t - 0.04\,x\pi + \frac{\pi }{3}} \right)$ $x$ is in metres and $ t$ is in seconds. The speed of the wave is
    View Solution
  • 9
    A source and an observer are moving towards each other with a speed equal to $\frac{v}{2}$ where $v$ is the speed of sound. The source is emitting sound of frequency $n$. The frequency heard by the observer will be
    View Solution
  • 10
    An open tube is in resonance with string (frequency of vibration of tube is $n_0$). If tube is dipped in water so that $75\%$ of length of tube is inside water, then the ratio of the frequency of tube to string now will be
    View Solution