A Heavy Stone of Mass M Is Hung from the Ceiling

question 38

Multiple Choice

A heavy stone of mass m is hung from the ceiling by a thin 8.25-g wire that is 65.0 cm long.When you gently pluck the upper end of the wire,a pulse travels down the wire and returns 7.84 ms later,having reflected off the lower end.The speed of sound in the room is 344 m/s,and the stone is heavy enough to prevent the lower end of the wire from moving.If the wire is vibrating in its second overtone,what is the frequency of the sound it will produce?

• A) 128 Hz
• B) 191 Hz
• C) 255 Hz
• D) 383 Hz
• E) 765 Hz

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Definitions:

Basilar Membranes

A structure in the cochlea of the inner ear that vibrates in response to sound, playing a key role in the sensory coding of auditory signals.

Tectorial Membranes

A structure in the cochlea of the inner ear that is involved in the auditory sensing process, by interacting with hair cells to facilitate hearing.

Hair Cells

Sensory receptors for hearing that are attached to the basilar membrane in the cochlea.

Organs of Corti

Located within the cochlea of the inner ear, they are essential for converting sound vibrations into neural signals for hearing.