Draw a typical dispersion relation curve (ω-k curve) for Vp = Vg and Vp not equal to Vg
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Draw a typical dispersion relation curve (ω-k curve) for Vp = Vg and Vp not equal to Vg

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- Solve the following differential equations. You may have to leave your answer implicit. 1) y'=(y-4x)/(x-y) is it isobaric? 2) x(1+y2)y'+x2y3=0 hint: try the integrating factor λ(x)= 1/xy3Considering Kirchhofs Rules, solve the following:Compute the line energy of dislocation in fcc, diamond. The shear modulus of carbon is 462 GNm 2. The diameter of carbon atom in diamond is 1.54Å. Answer: 1.46 x 10-³J/m
- For the given hasse diagram, Check which are distributive or modular lattice by using M3-N5 theorem.Show that the one-particle partition function Z₁ for a 2D ideal gas confined to area A is: A 2²/1 Z₁ = SBurgers vectors (b) are used to represent the magnitude and direction of the lattice distortion resulting from dislocations. For the edge and screw dislocations, how are the Burgers vectors are defined? Please show in detail.
- Calculate the surface density of the lattice atoms located on the (110) plane of the SC crystal ?? Please solve it quickly by handwritteno+ %) Which of the following statements are true? (Select allthat apply). Your answer: O The series converges to some finite number L. {1 The series conditionally and absolutely converges. O Itis an alternating series. O The series absolutely converges. O The series converges conditionally. 1 1 3 —(9 + 7) diverges. B &y ) o Itis not an alternating seri O The ratio test is inconclusive.