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ahmedeldyame
27.08.2020 •
Physics
The phase velocity of transverse waves in a crystal of atomic separation a is given byy = csin(ka/2) pka/2 1. What is the dispersion relation e(k)? 2. What is the group velocity as a function of k?
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Ответ:
a
e(k) = \frac{2a}{c} * sin (\frac{k*a}{2} )
b
G_{v} = \frac{d e(k ) }{dk } = \frac{a^2}{c} * cos (\frac{k* a}{2} )
Explanation:
From the question we are told that
The velocity of transverse waves in a crystal of atomic separation is
Generally the dispersion relation is mathematically represented as
=>![e(k) = c \frac{sin(\frac{k*a}{2} ) }{ \frac{k*a}{2} } * k](/tpl/images/0731/1554/7bf0b.png)
=>![e(k) = c * \frac{sin (\frac{k_a}{2} )}{ \frac{a}{2} }](/tpl/images/0731/1554/bf481.png)
=>![e(k) = \frac{2a}{c} * sin (\frac{k*a}{2} )](/tpl/images/0731/1554/7c04e.png)
Generally the group velocity is mathematically represented as
Ответ:
Wegener suggested that perhaps the rotation of the Earth caused the continents to shift towards and apart from each other.