Question

An ultrasound signal with a frequency of 3 mhz is sent into the body and returns to the transducer with a frequency of 3.005 mhz. based on this difference between the received frequency and the transmitted frequency, what is the doppler frequency?

Answer 1

The Doppler frequency, which represents the difference between the transmitted and the received ultrasound frequencies, is 5000 Hz (or 5 kHz) when a transmitted frequency of 3 MHz returns with a frequency of 3.005 MHz.

Step-by-step explanation:

The student is asking about a phenomenon called the Doppler effect, which is observed when there is a change in frequency due to the motion of a source. The difference between the transmitted and received frequencies is known as the Doppler frequency. In the provided scenario, an ultrasound signal with a frequency of 3 MHz is sent into the body and returns with a frequency of 3.005 MHz. The Doppler frequency is the difference between these two frequencies.

To calculate the Doppler frequency, we subtract the original transmitted frequency from the received frequency:

fDoppler = freceived - ftransmitted

fDoppler = 3.005 MHz - 3 MHz

fDoppler = 0.005 MHz

Since 1 MHz equals 1,000,000 Hz (or 1,000 kHz), we can convert the Doppler frequency to more commonly used units of Hz:

fDoppler = 0.005 MHz × 1,000,000 Hz/MHz

fDoppler = 5000 Hz

Thus, the Doppler frequency in this case is 5000 Hz (or 5 kHz).