A metal having a cubic structure has a density of 1.892 g/cm³, an atomic weight of 132.91 g/mol, and a unit cell side length of 0.613 nm. Determine the crystal structure of the metal. Show all calculations for credit on this problem.

1. The projection of the liquidus surface of the ternary system A-B-C is given below; a) Draw the isothermal sections at 400°C and room temperature. (20p.) b) For composition X, what is the amount and composition of solid phase at its solidus temperature? What would you suggest to increase its amount by keeping temperature constant? (20p.) A (705°) B (924°) A.B 569° 547° 850 650- X 550- 513 $450 460° 550 500 484° 400° 500- 550- -650- 600- 750- Yo A3B2C 2B.C 736° 683° B.C wt.% 660° A3C 580° A6C (684°)

A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i+ 3xyj + 3y2k. Use Stokes' Theorem to find the work done.

The figure below shows two unknown devices, each of which separates (disperses) white light into its spectrum. The positions of the two wavelengths are shown on each screen. Two optical devices that can produce cases A and B (respectively) are Case A ? Case B ? 2.700 nm 2400 nm 2400 nm 2.700 nm OA. a concave mirror and a convex lens B. a ray box and a prism C. a transmission grating and a prism OD. a transmission grating and a ray box

In Figure 23-29, a proton is a distance d/2 directly above the center of a square of side d. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge d.)

In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right at a constant speed. The resistance R = 6.00 Q, the distance between the rails is { = 1.20 m, and a uniform 2.30 T magnetic field is directed into the page. At what speed (in m/s) should the bar be moved to produce a current of 0.500 A in the resistor? R Fapp m/s

An electron is accelerated through a potential difference of 1.5 MV and hence gains 1.5 MeV of energy. Find its final speed and momentum. (me 9.11^10-31 kg) explain step, by step and remember it is a relativistic problem

= The figure shows a horizontal beam of mass M = 59.1 kg and length L = 6.4 m supported at its left end by a frictionless pin and at the other end by an ideal cable attached to wall h 4 m above the beam. A mass m = 22.1 kg is suspended from the beam a distance d = 2 m from the wall. Find the tension in the cable. T h d→ m M L = _ N Report your numerical answer below, assuming three significant figures. Remember to include a as necessary.

PROBLEM 4 (CONTINUED...) The Gibbs free energy curves for the liquid and solid of a hypothetical A-B binary system are shown below. Molar Free Energy (J/mol) 4000 2000 -2000 -4000 0.0 solid solution liquid solution 0.4 0.6 08 1.0 Mole Fraction B For overall compositions of 20 at% B and 80 at% B, determine the compositions of the phase(s) present at equilibrium and whether they are solid or liquid solutions. If more than one phase is present, determine the relative amounts (on an atomic basis). (5 points each) 20 at% B: 100% liquid A-20at%B .575 at: B-liquid 8007B 80 at% B: .975a+: B-solid 0975-8 975575 =XL =4442 5625

Four long, parallel conductors carry equal currents of = 1.00 A. The figure below is an end view of the conductors. The current direction is into the page at points A and B and out of the page at C and D. A × C B(x (a) Calculate the magnitude of the magnetic field at point P, located at the center of the square of edge length = 0.200 m. με