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pardesi
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what do we mean when we sy the speed of spherical waves is [tex]v[/tex]
pardesi said:what do we mean when we sy the speed of spherical waves is [tex]v[/tex]
pardesi said:when we write the equation of sphericcal wavefunctions [tex]\psi(r,t)=\frac{f(r-vt)}{r}[/tex] what does [tex]v[/tex] here mean
pardesi said:when we write the equation of sphericcal wavefunctions [tex]\psi(r,t)=\frac{f(r-vt)}{r}[/tex] what does [tex]v[/tex] here mean
jtbell said:It means the same thing as with a plane wave. If you "stand" at a fixed location anywhere and watch the wavefronts (surfaces of constant phase) go past you, they are moving at speed [itex]v[/itex].
(By the way, equations embedded into text line up better with the text if you use "itex" instead of "tex" in the tags.)
jtbell said:I'm using Firefox (2.0.0.1) on a Mac (OS 10.4.10) right now. I haven't noticed any problems with the last few versions (at least) of either of these.
jtbell said:I'm using Firefox (2.0.0.1) on a Mac (OS 10.4.10) right now. I haven't noticed any problems with the last few versions (at least) of either of these.
Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.8.0.7) Gecko/20060913 Fedora/1.5.0.7-1.fc5 Firefox/1.5.0.7 pango-text
The speed of spherical waves, denoted by v, is the rate at which a disturbance travels through a medium in the form of a spherical wave. It is a fundamental property of wave motion and is dependent on the properties of the medium through which the wave is traveling.
The speed of spherical waves can be calculated using the formula v = √(E/ρ), where E is the Young's modulus of the medium and ρ is its density. This formula is derived from the wave equation, which relates the speed of a wave to the properties of the medium through which it is traveling.
No, the speed of spherical waves is not constant. It can vary depending on the properties of the medium, such as its density and elasticity. In some cases, the speed of spherical waves may also be affected by external factors such as temperature and pressure.
The speed of spherical waves is different from other types of waves, such as plane waves or cylindrical waves, because it is dependent on the distance from the source of the disturbance. As the wave travels further away from the source, its speed decreases due to the increasing surface area of the sphere over which it is propagating.
The speed of spherical waves is important because it helps us understand how energy is transferred through a medium. It is also used in various fields of science and engineering, such as seismology, acoustics, and electromagnetics, to study and analyze wave phenomena and their effects on the environment.