Two automobiles are equipped with the same single

Chapter 13, Problem 52P

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QUESTION:

Problem 52P

Two automobiles are equipped with the same single frequency horn. When one is at rest and the other is moving toward the first at 15 m/s, the driver at rest hears a beat frequency of 5.5 Hz. What is the frequency the horns emit? Assume T = 20°C.

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QUESTION:

Problem 52P

Two automobiles are equipped with the same single frequency horn. When one is at rest and the other is moving toward the first at 15 m/s, the driver at rest hears a beat frequency of 5.5 Hz. What is the frequency the horns emit? Assume T = 20°C.

ANSWER:

Step 1 of 2

Speed of the sound at  is

                                                            

The two automobile horns have the same frequency say . One is at rest and the other moves towards the first with speed of .

Now there will be Doppler shift in the received frequency of the moving horn as recorded by the driver at rest. The received frequency is;

                                                                    

Here  is the Speed of the sound at and  is the speed of the automobile.

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