Compute the flux of the vector field F =< r(2 + sin 0), r sin ở cos 8, 3z > through the surface S where S is the surface bounded by r= 2, z = 0, z = 5 in the first octant. Round off answer to 2 decimal places. NOTE: if answer is Spi, write 15.71 O 20pi O Spi O none of these above O 25pl O 30pi

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A: Given: F→=ai^+bj^-ck^ The normal on the plane is ∇.→x+y+z=i^+j^-k^

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Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.