My daughter dived underwater in the swimming pool and screamed as
loud as she could. I was right next to her with my head out of the
water, but I could only detect the tiniest sound, at the end of the
scream. But when I was underwater with her, I could hear most of the
scream. Why?
This is an example of impedance mismatch. Acoustic impedance - a
measure of the way a sound wave interacts with the medium it is passing
through - varies depending on the medium concerned. When a wave
encounters a medium with a different impedance from the one it is in,
most of its energy will be reflected at the boundary.
Most people will be familiar with ultrasound scans of a
developing fetus. For these scans, a gel is applied to the expectant
mother's skin to reduce the impedance mismatch between her body and the
transducer and so maximise the transfer of acoustic energy.
Despite the acoustic mismatch between air and water, our
everyday experience is that sound passing through the air manages to
reach receptors immersed in the fluid of the cochlea within the inner ear. For this, we can thank the design of the middle ear for impedance-matching the sound.
Vibrations are passed from the eardrum via the auditory
ossicles - the three smallest bones in the human body - to a membrane in
front of the cochlea called the oval window. The eardrum is attached to
the first of the ossicles, called the malleus (or hammer). This is
pivoted about the second bone, the incus (or anvil), which in turn is
fused to the third bone, the stapes (or stirrup). The stapes drums on
the oval window.
The eardrum has an area about 15 times that of the oval
window. As the sound energy striking the eardrum is concentrated at the
oval window, the amplitude of the sound vibrations is increased. Lever
action further boosts this amplification. Without the middle ear
ossicles, barely 0.1 per cent of the energy arriving at the eardrum
would reach the inner ear.
With her underwater and you out, most of her sound energy is bouncing off the under-surface of the water and is not coupling into the air--that's what the moderator means by the mysterious and undefined phrase "impedance mismatch".
In contrast to the air, water is a nearly incompressible fluid and so sound transmits through it very efficiently, but with only a small amplitude that, once it reaches the surface, does not jiggle the air very efficiently. You'll only hear a faint sound.
This is simply attributed to the difference in acoustic impedance
between air and water. Acoustic impedance is a material property related
to density that quantifies the resistance to sound wave propagation through the
medium. Acoustic impedance is inversely proportional to density because
the closer the particles of a substance are together the shorter distance they
have to travel to bump into the adjacent particle and thus propagate the sound
wave. When dealing interfacing mediums, such as the barrier between water and
air, the amount of sound energy transmitted and the amount reflected is a ratio
of the relative acoustic impedances of the two mediums. In this case
liquid water is significantly denser than air and as a result has a much lower acoustic
impedance than air (very high impedance medium). As a result of this high
impedance ratio the bulk of the sound energy from the scream is reflected back
towards the bottom of the pool. When you were submerged for the scream
this medium barrier was not present, and therefore you heard it loud and clear,
sort of.
The human ear is not built to hear sound transmitted in a liquid.
Notice that sounds under water sound much higher pitch than those above
the surface. This is again related to the density of the medium, which is
a large factor in the speed of sound propagation. In air sound travels
much slower than it does in water. Take a sound source with a fixed
wavelength, your daughter’s voice, and put it in two mediums of different
densities (water and air). In air her voice sounds normal, but under
water the sound travels faster and thus has a higher frequency.
Sound travels as a result of vibrating particles. This is why in space,you cannot hear any sounds if you didn't have a spacesuit (not recommended). In water, the particles are quite spaced out whereas in air,the particles are very spaced out. When producing a sound underwater means that a water-air boundary would have to be passed however this means that most of the sound waves are actually reflected back at the boundary since of their acoustic impedance does not match, this explains your question.