Question 16: Waves

Question

Two cars approach a stationary observer from opposite sides as shown in the figure.

The observer hears no beats. If the frequency of the horn of the car B is 504 Hz, then the frequency of the horn of the car A will be

Accepted Answer

Apparent frequency of car A = Apparent frequency of car B
$$ \Rightarrow {v \over {v - {v_s}}} 	imes 
u  = {v \over {v - v{'_s}}} 	imes 
u '$$
$$ \Rightarrow {
u  \over {v - 15}} = {{504} \over {v - 30}}$$
$$ \Rightarrow 
u  = {{340 - 15} \over {340 - 30}} 	imes 504$$ [$$\because$$ velocity of sound in air is 340 m/s]
$$ \Rightarrow 
u  = 529.2$$ Hz

Answer

529.2 Hz

Answer

440.5 Hz

Answer

295.2 Hz

Answer

None of these

Waves

Two cars approach a stationary observer from opposite sides as shown in the figure. The observer hears no beats. If the frequency of the horn of the car B is 504 Hz, then the frequency of the horn of the car A will be

Choose the correct answer: