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DEVIL PHYSICS
THE BADDEST CLASS ON CAMPUS
IB PHYSICS
TSOKOS OPTION I-1
THE EAR AND HEARING
IB Assessment Statements
Option I-1, The Ear and Hearing:
I.1.1. Describe the basic structure of the human
ear.
I.1.2. State and explain how sound pressure
variations in the air are changed into larger
pressure variations in the cochlear fluid.
I.1.3. State the range of audible frequencies
experienced by a person with normal
hearing.
I.1.4. State and explain that a change in observed
loudness is the response of the ear to a
change in intensity.
IB Assessment Statements
Option I-1, The Ear and Hearing:
I.1.5. State and explain that there is a
logarithmic response of the ear to
intensity.
I.1.6. Define intensity and intensity level (IL).
I.1.7. State the approximate magnitude of the
intensity level at which discomfort is
experienced by a person with normal
hearing.
IB Assessment Statements
Option I-1, The Ear and Hearing:
I.1.8. Solve problems involving intensity levels.
I.1.9. Describe the effects on hearing of shortterm and long-term exposure to noise.
I.1.10. Analyze and give a simple interpretation
of graphs where IL is plotted against the
logarithm of frequency for normal and for
defective hearing.
Objectives:
Lesson Objectives. By the end of this
class you should be able to:
Describe the basic components of the
human ear
Define sound intensity and the sound
intensity scale based on the decibel
Perform calculations with intensity and the
decibel scale
Objectives:
Understand how the ear functions
Describe how the ear separates sound
according to frequency in the cochlea
State the meaning of the terms threshold of
hearing and audiogram
Introductory Video
Macroscopic View of the Ear
Ear is sensitive to sounds ranging from 20 Hz to
20,000 Hz
At 1000 Hz, the ear can pick up sound vibrations
that displace the eardrum by 1/10th the diameter
of a hydrogen atom
Outer ear
Middle ear
Inner ear
Eustachian tube serves to equalize pressure
Airplanes
Scuba Diving
Semicircular canals do not contribute to hearing
Provide us with a sense of balance
The Ear and Balance
Schematic Diagram of the Ear
Figure I1.2, Schematic
Diagram of the Ear
Ossicles are three small bones: malleus, incus
and stapes – smallest in human body
Purpose is to amplify amplitude of sound waves
by a factor of 1.5
Figure I1.2, Schematic
Diagram of the Ear
Area difference between eardrum and oval
window increases amplification by 13
Total amplification = 20x
Acoustic reflex – muscles limit ossicle movement
Does not protect from instantaneous sound
Figure I1.2, Schematic
Diagram of the Ear
Cochlea is where hearing takes place
Vestibular, Helicotrema and Tympanic canals
(2cm long)
Round window is pressure release point
Figure I1.2, Schematic
Diagram of the Ear
Scala media or cochlean duct runs between
canals
Covered by the basilar membrane
Contains nerve endings which convert sound waves
into electrical signals sent to the brain
Figure I1.2, Schematic
Diagram of the Ear
Basilar membrane
Organ of Corti responsible for converting vibrations
into electrical signals
Different parts are sensitive to different frequency
ranges
Mismatch of Impedances
Sound travels differently in different media
In hearing, sound goes from air to the fluid in
the inner ear
The term impedance is used to describe the
difference in sound in different media
Acoustic Impedance:
ρ is density
c is speed of sound
Z c
Mismatch of Impedances
When sound transitions to a new media,
differences in impedances will cause some of
the sound to be reflected
More sound is transmitted when impedances
are matched
Impedance before oval window is 450 kg/m2s
Impedance after oval window is 1.5 x 106
kg/m2s
Mismatch of Impedances
Because of the difference in the impedances,
the sound must be amplified by the ossicles
and by the differences in area between the
eardrum and the oval window
Complex Sounds
Complex Sounds
Any periodic function can be written as a sum
of harmonic functions
Complex sounds can be decomposed into
component frequencies of the harmonic
function
This is what is done in the cochlea
The sound is then reconstructed in the brain
Intensity of Sound
Sensation of Hearing
Hearing does not increase linearly with
intensity
It is a logarithmic function
Increase in hearing is proportional to the
fractional increase in intensity (WeberFechner law)
This give us the decibel scale
Sensation of Hearing
An increase of 10 dB equates to an increase in
intensity by a factor of 10
I0 refers to the threshold of hearing, 1 x 10-12
W/m2
Frequency Response and Loudness
The normal hearing range is 20 Hz to 20,000
Hz
The threshold of hearing reduces with age
Frequency Response and Loudness
The threshold of hearing of 1 x 10-12 W/m2 is
based on 1000 Hz
Sounds of greater or lesser intensity may be
heard depending on frequency
Threshold of Hearing Curve
Threshold of Hearing
Threshold of Hearing
Hearing sensitivity can best be understood
based on resonance in the ear canal
Think of it as a closed-end tube where the
fundamental wavelength is 4L
Threshold of Hearing
The length of the ear canal is 2.8 cm
4 L 4 x 0 . 028 0 . 112
f
c
340
0 . 112
3036 Hz
Pitch
Subjective
How high or low a sound is
Primarily determined by frequency, but also
by intensity
Frequency Separation in Cochlea
The basilar membrane decreases in stiffness
along its length (35mm)
Velocity of sound is high at the beginning of
the canal and drops along the length
Response by the organ of Corti is greatest to
sounds that are resonant
Frequency Separation in Cochlea
Frequency Separation in Cochlea
Hearing Defects
Sensory Nerve Deafness
Damage to hair cells and neural pathways
Tumors of the acoustic nerve or meningitis
Conduction Deafness
Damage to the middle ear
Blockage (full or partial) of the auditory canal
Bone disease to the ossicles
Hearing tested with an audiogram
Hearing Loss
Aging
Gently curved with smaller loss in decibels
Damage
More substantial loss, especially in higher
frequencies
Required Amplification
45 dB
10 log
I
I0
I I 0 x10
4 .5
I I 0 x 3 . 16 x10
4
Audiogram
Steep curve
Large high
frequency loss
indicates damage
due to overexposure
Aging would show
shallow curve, less
overall loss
Audiogram
Circles for air
Triangles for bone
Gap between the
two indicates a
conduction
problem in middle
or outer ear
Audiogram
When the bone and
air graphs nearly
coincide, the
problem is most
likely a cochlear or
nerve problem in
the inner ear
Hearing Aids
Used for conductive hearing loss where inner
ear is still functioning
Amplifies sound within a limited range
Mainly the range of human speech
Doesn’t work well for much else
Cochlear Implant
For sensory loss in the inner ear
Consists of:
Microphone
Signal processor to convert sound to electrical
signals
Electrodes surgically implanted in the cochlea
Mimics the function of the cochlea
HAD ENOUGH?
OKAY, I HEAR YA!
Objectives:
Lesson Objectives. By the end of this
class you should be able to:
Describe the basic components of the
human ear
Define sound intensity and the sound
intensity scale based on the decibel
Perform calculations with intensity and the
decibel scale
Objectives:
Understand how the ear functions
Describe how the ear separates sound
according to frequency in the cochlea
State the meaning of the terms threshold of
hearing and audiogram
IB Assessment Statements
Option I-1, The Ear and Hearing:
I.1.1. Describe the basic structure of the human
ear.
I.1.2. State and explain how sound pressure
variations in the air are changed into larger
pressure variations in the cochlear fluid.
I.1.3. State the range of audible frequencies
experienced by a person with normal
hearing.
I.1.4. State and explain that a change in observed
loudness is the response of the ear to a
change in intensity.
IB Assessment Statements
Option I-1, The Ear and Hearing:
I.1.5. State and explain that there is a
logarithmic response of the ear to
intensity.
I.1.6. Define intensity and intensity level (IL).
I.1.7. State the approximate magnitude of the
intensity level at which discomfort is
experienced by a person with normal
hearing.
IB Assessment Statements
Option I-1, The Ear and Hearing:
I.1.8. Solve problems involving intensity levels.
I.1.9. Describe the effects on hearing of shortterm and long-term exposure to noise.
I.1.10. Analyze and give a simple interpretation
of graphs where IL is plotted against the
logarithm of frequency for normal and for
defective hearing.
QUESTIONS
Homework
#1-9
STOPPED HERE ON 4/4/2013