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.

A photon moving in the +x-direction, scatters off a free stationary electron. The wavelength of the incident photon is 0.0310 nm. After the collision, the electron moves at an angle a below the +x- axis, while the photon moves at an angle = 81.3° above the +x-axis. (For the purpose of this exercise, assume that the electron is traveling slow enough that the non-relativistic relationship between momentum and velocity can be used.) (a) What is the angle a (in degrees)? 47.21 X What is the shift in wavelength of the photon due to the scattering? How can you use momentum conservation in the horizontal and vertical directions to determine the angle? counterclockwise from the +x-axis (b) Determine the speed of the electron (h m/s). m/s

. A beam of white light goes from air into water at an incident angle of 75.0°. At what angles are the red (660 nm) and violet (410 nm) parts of the light refracted? Are the angles going to be different if the light strikes a crown glass slab, instead of water? Explain.

1. The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = 3, for x>1. Determine the following (round all of your answers to 3 decimal places): a. P(X 9) c. P(8 12) e Determine x, such that P(X < x): = 0.75

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You have two instruments and have measured the unknowns on the two instruments. You find: Unknows to compare between instruments Concentrations from Instrument 1 Concentrations from Instrument 2 Unknown 1 15.1 16.5 Unknown 2 25.3 22.1 Unknown 3 30.2 24.7 What is the t-calc value for the comparison between these two instruments?

Draw the second best resonance structure for the following aromatic compound. NH

An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be used in an optical spectrometer. An optical spectrometer contains a dispersive element (in this case, the prism) that separates an incoming beam of light into its constituent wavelengths (or colors), and a photocell that measures the intensity of each color (wavelength) by measuring the intensity of the dispersed light as a function of angle. The index of refraction of the prism material you are using depends on the wavelength as n(A)=(1.111 x 104 nm¹) A (nm) + 1.609 An incident beam of white light impinges on the surface (see drawing) at an angle of 42.2 degrees below the normal. The prism is in air (n = 1.000). Normal Ꮎ Red (660 nm) Violet (410 nm) (a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (A-660.0 nm) emerge on the opposite side? (b) Relative to the prism base (i.e., the horizontal in the drawing), at what angle…

327. How would you design an experiment to investigate the effect of particle size and concentration on the separation efficiency of an ultrafiltration system? Discuss the selection of membrane materials and particulate suspensions, the experimental setup, the procedure for measuring separation efficiency and fouling, and the methods for analyzing the data to determine the influence of particle size and concentration on ultrafiltration performance.

A system is described by the action S[r, r'] = [ dt (x² + 4rª + mr³4), r(t) where m is a constant. Find the Euler-Lagrange equation for r = which extremises S. Interpret each of the terms that appear in the Euler- Lagrange equations in terms of Newton's second law. Find a conserved quantity for this system.