Question

multiple choice 5 points activity c #5 select the following correct explanation to the following question: think and discuss: why did the magnitude of the doppler shift increase as the velocity of the sound source increased, but decreased as the velocity of sound increased? the magnitude of the doppler shift depends on how close the frequency of the sound source is to the velocity of sound. the farther the two velocities are, the greater the doppler shift. the two velocities will be farther together if the velocity of the sound source is increased or the velocity of sound is decreased. the magnitude of the doppler shift depends on how tall the amplitude of the sound source is to the frequency of sound. the taller the two amplitudes are, the greater the doppler shift. the two amplitudes are smaller if the velocity of the sound source is increased and the velocity of sound is increased. the magnitude of the doppler shift depends on how close the velocity of the sound source is to the velocity of sound. the closer the two velocities are, the greater the doppler shift. the two velocities will be closer together if the velocity of the sound source is increased or the velocity of sound is decreased.

Explanation:

1. Analyze the first option: The Doppler shift's magnitude depends on the difference between the source velocity (\(v_s\)) and sound velocity (\(v\)). When \(v_s\) increases or \(v\) decreases, the difference (\(\vert v_s - v\vert\)) increases, leading to a greater Doppler shift. This matches the question's scenario (shift increases with \(v_s\) increase, decreases with \(v\) increase, as a larger \(v\) would reduce the difference).
2. Analyze the second option: Doppler shift is about velocity (source and sound), not amplitude and frequency. So this is incorrect.
3. Analyze the third option: It claims "closer velocities give greater shift", but a larger difference (farther velocities) causes greater shift. So this is incorrect.

Answer:

A. The magnitude of the Doppler shift depends on how close the frequency of the sound source is to the velocity of sound. The farther the two velocities are, the greater the Doppler shift. The two velocities will be farther together if the velocity of the sound source is increased or the velocity of sound is decreased.