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Question

Sound waves are amplified by the tiny bones present in the

A
outer ear
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B
middle ear
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C
inner ear
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D
brain
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Solution

The correct option is B middle ear
Sound is amplified by three small bones called ear ossicles that are present in the middle ear: Hammer (Malleus), Anvil (Incus), and Stirrup (Stapes).

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Q. When a sound wave enters the ear, it sets the eardrum into oscillation, which in turn causes oscillation of 3 tiny bones in the middle ear called ossicles. This oscillation is finally transmitted to the fluid filled in inner portion of the ear termed as inner ear, the motion of the fluid disturbs hair calls within the inner ear which transmit nerve impulses to the brain with information that a sound is present. The three bones present in the middle ear are named as hammer, anvil and stirrup. Out of these the stirrup is the smallest one and this only connects the middle ear to inner ear as shown in the figure below. The area of stirrup and its extent of connection with the inner ear limits the sensitivity of the human ear. Consider a person's eat whose moving part of the eardrum has an area of about 43 mm2 and the area of stirrup is about 3.2 mm2. The mass of ossicles is negligible. As a result, force exerted by sound wave in air on eardrum and ossicles is same as the force exerted by ossicles on the inner ear. Consider a sound wave having maximum pressure fluctuation of 3×102 Pa from its normal equilibrium pressure value which is wqual to 105 Pa. Frequency of sound wave is 1200 Hz.
Data: Velocity of sound wave in air is 332 m/s. Velocity of sound wave in fluid (present in inner ear) is 1500 m/s. Bulk modulus of air is 1.42×105 Pa. Bulk modulus of fluid is 2.18×109 Pa.

If then person is using an hearing aid, which increase the sound intensity level by 30 dB, then by what factor the intensity of given sound wave change as perceived by inner ear?

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