Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveDopler's effectHard2 minPYQ_2020

PhysicsHardnumerical

In a car race, sound signals emitted by the two cars are detected by a detector on the straight track at the end of the race. The frequency observed for the two cars is $330 Hz$ and $360 Hz$ respectively, while the original frequency is $300 Hz$ for both the cars. The race ends with a separation of $100 m$ between the cars. Assume both cars move with constant velocity and velocity of sound is $330 m s^{- 1}$ . Find the time taken by the winning car (in second).

Answer:

4.00

Solution:

$330 = \frac{330}{330 - v_{1}} \times 300 \Rightarrow v_{1} = 30 m s^{- 1}$

$360 = \frac{330}{330 - v_{2}} \times 300$

$330 - v_{2} = \frac{330}{12} \times 10 = 275$

$v_{2} = 55 m s^{- 1}$ ; $ΔV = 25 m s^{- 1}$

$100 = ΔV \times T \Rightarrow T = 4 s$

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Dopler's effect

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...