Intensity is proportional to which of the following?

Intensity is a fundamental concept in ultrasound and wave physics, and it is defined as the amount of energy that is transmitted per unit area over a given time. The correct relationship is that intensity is proportional to power and the square of the amplitude.

When considering intensity in relation to power, intensity increases as power increases because more energy is being delivered over the same area. Amplitude refers to the height of the wave, and in the context of sound waves, it relates to how loud the sound is; louder sounds correspond to higher amplitudes. The intensity of a wave is mathematically expressed as being proportional to the square of the amplitude. This means that if the amplitude is doubled, the intensity increases by a factor of four.

Thus, the relationship that intensity is proportional to power and the amplitude squared accurately reflects how energy propagation occurs in wave mechanics. The other options do not correctly represent these relationships in the context of intensity and wave behavior. For example, while frequency and wavelength are related concepts, they don't directly influence intensity in the same manner that power and amplitude do.

Therefore, the accurate assertion that intensity is proportional to power and amplitude squared emphasizes the physics behind wave propagation and energy transfer in the field of sonography.