A sperm whale (see Figure (a)) vocalizes b y producing a series of dicks. Actual

Question

A sperm whale (see Figure (a)) vocalizes b y producing a series of dicks. Actually, the whale makes only a single sound near the front of to become the first click of the series. The its head to start the series. Part of that sound then emerges from the head into the w rest of the sound travels backward through the travels forward through the spermaceti sac. When it reaches the distal sac maceti sac (a body of fat), reflects from the frontal sac (an air layer), and then air layer) at the front of the head, some of the her sound escapes into the water to form the second click, and the res s sent back throgh the spermacetisac (and ends up forming later clicks) Figure (b) shows a strip-chart recording of a series of dicks. A unit time interval of 1.2 ms is indicated on the chart. Assuming that the speed of sound in the spermaceti sac is 1380 m/s, find the length of the spermaceti sac. From such a calculation, marine scientists estimate the length of a whale from its click series Spermaceti sae Distal Frontal 1.2ms Units Number

Explanation / Answer

The refractive index is a measure how much is the speed of sound reduced inside a medium in comparison to free space.

RI of water is 1.5

velocity x time = distance

sound travelled from the sac to the back and then to the front again

so distance is twice the actual length

v x t=2d

t=3*unit mesure provided

t=3*1.2=3.6 milli seconds

d=1380 x 3.6 x 10^-3/2 = 2.484 m

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