$A$ car sounding a horn of frequency $1000 \,Hz$ passes a stationary observer. The ratio of frequencies of the horn noted by the observer before and after passing of the car is $11:9$. The speed of the car is (Speed of sound $v = 340 \,ms^{-1}$) (in $\,ms^{-1}$)

$A$ boy standing on a platform observes the frequency of a train horn as it passes by. The change in the frequency noticed as the train approaches and recedes him with a velocity of $108 \text{ km/h}$ is (speed of sound in air $= 330 \text{ m/s}$) (in $\%$)

$A$ siren placed at a railway platform is emitting a sound of frequency $5 \text{ kHz}$. $A$ passenger sitting in a moving train $A$ records the frequency of the siren as $5.5 \text{ kHz}$. During his return journey by train $B$,he records the frequency of the siren as $6 \text{ kHz}$. The ratio of the speed of train $B$ to that of train $A$ is

$A$ sound source is moving towards a stationary observer with $\frac{1}{10}$th the speed of sound. The ratio of apparent to real frequency is

$A$ car $A$ is chasing another car $B$ with a speed of $20 \, m/s$,sounding a horn of frequency $180 \, Hz$. Both cars are moving towards a stationary siren of frequency $170 \, Hz$. What is the speed of car $B$ so that it does not hear any beats (in $, m/s$)? (Speed of sound $= 340 \, m/s$)

$A$ source with a frequency of $500 \,Hz$ moves towards a stationary observer with a velocity of $30 \,m/s$. What frequency (in $Hz$) will the observer hear? (The speed of sound in air is $330 \,m/s$.)