The two-dimensional square lattice has ai ae, and a2 aéz. 1. show that the reciprocal lattice is also square. 2. use the following recipe for finding the first three brillouin zones: the b8z is obtained by starting at any reciprocal lattice point (which is then the origin) and constructing vectors to all neighbouring reciprocal lattice points. lines are then constructed perpendicular to and passing through the midpoints of these vectors. the bz is the cell with the smallest area about the origin bounded by these lines. the 2nd b2 is the area between the 1t bz and the next smallest closed polygon formed by the lines. similarly for the 3" bz.

Identify the amplitude on the diagram and give the correct description. question 3 options: a because amplitude is the distance from wave crest to wave crest. b because the wavelength shows amplitude. c because amplitude is the distance between a crest (or trough) and rest. d because wavelength show amplitude. (brainiest if you get it right! ) ~kayla

Two horizontal plates with infinite length and width are separated by a distance h in the z direction. the bottom plate is moving at a velocity u. the incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. align gravity with positive z. assume that the flow is fully-developed and laminar. if the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. sketch your system 2. identify the coordinate system to be used. 3. show your coordinates and origin point on the sketch. list all your assumptions. 5. apply the continuity equation to your system. nts of navier stokes equations of choice to your system 7. solve the resulting differential equation to obtain the velocity profile within the system make sure to list your boundary conditions. check units of velocity 8. describe the velocity profile you obtain using engineering terminology. sketch that on the same sketch you provided in (1). 9. obtain the equation that describes the volumetric flow rate in the system. check the units.

How much force was applied to an object if was moved 2 meters and the work done on the object was 8 joules? a. 0.25 n b. 4 n c. 6 n d. 16 n