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(a) If a submarine’s sonar can measure echo times with a precision of 0.0100 s, what is the smallest difference in distances it can detect? (Assume that the submarine is in the ocean, not in fresh water.)(b) Discuss the limits this time resolution imposes on the ability of the sonar system to detect the size and shape of the object creating the echo.
refer solution
Physics 101 Mechanics
Chapter 17
Physics of Hearing
Sound and Hearing
University of Michigan - Ann Arbor
Simon Fraser University
University of Winnipeg
Lectures
08:15
In physics, sound is a vib…
02:16
01:58
(a) If a submarine's …
01:55
A sonar echo returns to a …
04:14
Two submarines are under w…
02:05
A ship mapping the depth o…
01:28
$\cdot$ Mapping the ocean …
02:20
A sailor strikes the side …
01:29
The sonar of a navy cruise…
04:02
A ship using sound-sensing…
01:59
(1) A sailor strikes the s…
21:19
Ships measure the distance…
01:13
(I) A sailor strikes the s…
03:22
Submarine A travels horizo…
02:07
$\cdot$ Communicating with…
01:18
The sound source of a ship…
01:21
A submarine is moving towa…
03:08
Sonar devices use underwat…
02:03
Shallow-Water Waves Inshal…
05:58
A dolphin is able to tell …
01:47
The speed of sound in wate…
04:21
$\bullet$ The sound source…
Let's say we have a small bump in water word our submarine is detecting, it said. This is our summary, which shines Sonar don't reads its reflection. Now if you notice if this height were some edge, the second beam off light traveled this distance twice more than the first beam, which means the time delay corresponding to the second beam will be distance by velocity, which is to edge by the speed of sound. So if this time is less than zero point 01 seconds, submarine will think these two sound waves are a single way and it won't be able to differentiate. It will see a single slap. If this is greater than 0.1 seconds, the submarine will actually see the difference. So let's see what that is, which by C is equal to 0.1 That's possible. H is equal to 0.1 time. See, so that is 0.1 times the speed of sound in water, as you know, is 15 40 meters per second, divided by two understands out Toby, 7.7 meters. So anything any object that is smaller than 7.7 meters are any detail in the object that you're scanning that is less than 7.7 meters will be lost with a Sona. But anything larger will be detected by a Sona. So if you have a ship that is about 20 meters large, you're definitely didn't it? But if you have Ah, I did. Scuba diver whose height is about two meters. Your problem. You will probably not dating him. Simple as that.
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