Two cars have identical horns, each emitting a frequency of fs = 395 Hz. One of the cars is moving with a speed of 12.0 m/s toward a bystander waiting at a corner, and the other car is parked. The speed of sound is 343 m/s. What is the beat frequency heard by the bystander?

Respuesta :

Answer:

14.32 Hz

Explanation:

Given:

Frequency of the horn, f₀ = 395 Hz

Speed of the car, v = 12.0 m/s

Speed of the sound, c = 343 m/s

now, applying the doppler's effect formula, we have

[tex]f=f_0(\frac{c}{c-v})[/tex]

where,

f is the observed frequency

on substituting the values, we get

[tex]f=395\times(\frac{343}{343-12})[/tex]

or

f = 409.32 Hz

therefore,

the beat frequency heard is = f - f₀ = 409.32 - 395 = 14.32 Hz

Answer:

The beat frequency heard by the bystander is 14.32 Hz

Explanation:

Given that,

Emitting frequency = 395 Hz

Speed of cars = 12.0 m/s

Speed of sound = 343 m/s

We need to calculate the frequency

Using formula of frequency

[tex]f=\dfrc{v}{v'-v}\times f_{0}[/tex]

Where, v = speed of sound

v' = speed of cars

f₀= emitting frequency

Put the value into the formula

[tex]f=\dfrac{343}{343-12}\times395[/tex]

[tex]f=409.32\ Hz[/tex]

We need to calculate the beat frequency heard by the bystander

[tex]f'=f-f_{0}[/tex]

[tex]f'=409.32-395[/tex]

[tex]f'=14.32\ Hz[/tex]

Hence, The beat frequency heard by the bystander is 14.32 Hz.