The Superposition of Two Waves $$y _ { 1 } = ( 0.006 \mathrm {~cm} ) \cos \left[ 2 \pi \left( \frac { 156 } { \mathrm {~s} } t \right) \right]$$

question 49

Multiple Choice

The superposition of two waves $$y _ { 1 } = ( 0.006 \mathrm {~cm} ) \cos \left[ 2 \pi \left( \frac { 156 } { \mathrm {~s} } t \right) \right]$$ and $$y _ { 2 } = ( 0.006 \mathrm {~cm} ) \cos \left[ 2 \pi \left( \frac { 150 } { \mathrm {~s} } t \right) \right]$$ at the location x = 0 in space results in

• A)beats at a beat frequency of 3 Hz.
• B)a pure tone at a frequency of 153 Hz.
• C)a pure tone at a frequency of 156 Hz.
• D)beats at a beat frequency of 6 Hz in a 153 Hz tone.
• E)a tone at a frequency of 156 Hz,as well as beats at a beat frequency of 6 Hz in a 153 Hz tone.

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Definitions:

Hertz

The unit of frequency in the International System of Units (SI), equating to one cycle per second.

Auditory Neuron

a nerve cell that is involved in the process of hearing, transmitting auditory signals from the ear to the brain.

Pitch

Pitch refers to the perceived frequency of a sound, determining how "high" or "low" it sounds.

Basilar Membrane

A membrane running the length of the cochlea; sound waves cause a deformation of this membrane, bending the hair cells in the cochlea and thus stimulating the auditory receptors.