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163.

Problem 20.67 (RHK)

An acoustic burglar alarm consists of a source emitting waves of frequency 28.3 kHz. We have to find beat frequencies of waves reflected from an intruder walking at directly away from the alarm.

Solution:             Click For PDF Version

Frequency of the burglar alarm,

Speed of the burglar walking away from the alarm, .

Using the Doppler shift relation frequency of the signal as detected by the burglar,

Frequency of the reflected signal at the source will be further Doppler shifted as the burglar is moving away from the siren. It will be

The beat frequency will be