# Problem: An opera singer in a convertible sings a note at 600 Hz while cruising down the highway at 100 km/h . The speed of sound n the air is 343 m/s. A) What is the frequency heard by a person standing beside the road in front of the car?B) What is the frequency heard by a person standing beside the road behind the car?

###### FREE Expert Solution

The frequency detected due to the Dopler's effect is given by:

$\overline{){{\mathbf{f}}}_{{\mathbf{D}}}{\mathbf{=}}\frac{\mathbf{v}\mathbf{±}{\mathbf{v}}_{\mathbf{D}}}{\mathbf{v}\mathbf{±}{\mathbf{v}}_{\mathbf{s}}}{{\mathbf{f}}}_{{\mathbf{s}}}}$, where v is the velocity of the wave in the air, vD is the velocity of the detector, vs is the velocity of the source, and fs is the frequency of the source.

A)

In this problem, we consider the car to be the source and the person standing beside the road in from of the car to be the detector.

Since the person is standing, his velocity, vD = 0.

79% (290 ratings) ###### Problem Details

An opera singer in a convertible sings a note at 600 Hz while cruising down the highway at 100 km/h . The speed of sound n the air is 343 m/s.

A) What is the frequency heard by a person standing beside the road in front of the car?

B) What is the frequency heard by a person standing beside the road behind the car?

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Our tutors have indicated that to solve this problem you will need to apply the The Doppler Effect concept. You can view video lessons to learn The Doppler Effect. Or if you need more The Doppler Effect practice, you can also practice The Doppler Effect practice problems.