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- A point charge q with a charge of 7.3µC is held at the origin. A second point charge 92 with a charge of -1.2µC is held 4.5cm away. Let the potential energy be zero at an infinite separation between the two charges. What is the electric potential energy stored in this configuration? (Include the appropriate SI Unit) PECalculate the energy separations in joules, kilojoules per mole, and electronvolts, and as a wavenumber, between the levels (a) n = 3 and n = 1, (b) n = 7 and n = 6 of an electron in a one-dimensional nanoparticle modelled by a box of length 1.5 nm.14.34) What is the field strength (in tesla) needed to generate a 1H frequency of 600 MHz?
- (4) Electrons are no longer ejected from a sample of metal whenever it is illuminated by light with wavelength greater than 344nm. (a) Based on the table below, what is the most likely metal being illuminated? (b) If the sample is illuminated by light with wavelength 48.3nm, what is the stopping potential? (c) In the event this sample of metal were replaced by a metal with a smaller work function, but still illuminated with light with 48.3nm, would the kinetic energy of the ejected electrons increase or decrease? (d) What is the threshold frequency for cesium? Atom W (eV) Cesium 2.1 Calcium 2.9 Uranium 3.6 Cadmium 4.07 Lead 4.14 Niobium 4.3 Iron 4.5 Copper Cobalt 4.7 5 Gold 5.11 Platinum 6.35Compute the ionization potential for five-times ionized (Mg11+) and also compute the wavelength of the transition from n=2 to n=1 for that species66 892 41 State which of the following molecules are infrared active and justify your answer: H2, CO2, F2 , H2O , N2 , NO , O2 , N20 , C6H6 (benzene). Calculate the energy required for an amide stretch at 3300 cm 1, giving your answer in kJ mol-1. Velocity of Light, c = 3 x 10® ms1 Planck's Constant, h = 6.63 x 10-34 J s Avogadro number, NA = 6.02 x 1023 mol1 %3D DFocus BE
- E7B.3(b) Which of the following functions can be normalized (in all cases the range for x is from x = -∞ to ∞, and a is a positive constant): (i) sin(ax); (ii) cos(ax) ex²? Which of these functions are acceptable as wavefunctions?Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene and the n = 2 wave function for the weakest bound electron, calculate the probability of finding the electron in an 0.1 interval centered midway between the two inner carbon atoms (that is, the center is at x = 2.11 Å, so this interval is from x1 = 2.06 Å to x2 = 2.16 Å). Then calculate the probability of finding the electron in an 0.1 interval centered midway between an end carbon atom and the carbon atom that is double-bonded to it in the Lewis dot structure. (You may calculate the appropriate integrals or estimate the relevant areas under the curve graphically.) Then recalculate the probabilities by approximating the integral as |Ψ(x0)|^2 ∆x, where x0 is evaluated in the middle of the range from x1 to x2.8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2
- 3. Sketch xy-plane cross-section diagrams for the orbitals listed below. Indicate nodal planes and spheres by dashed lines, and regions of high electron probability by shading. Show the x and y axes. Indicate the positive and the negative parts of the wave function with plus and minus signs. (a) 4px; (b) 3s; (c) 4dxy; (d) 3d,2-2; and (e) 4s.A gold nucleus is located at the origin of coordinates, andan electron is brought to a position 2 Å from the origin inthe 1y direction.(a) Calculate the force on the gold nucleus exerted by theelectron giving its components Fx and Fy.(b) Calculate the potential energy of the gold nucleus andthe electron.2.9 Vibrations in crystals. (a) Calculate the average vibrational energy per mole for Si at 400 K to within the limits of the Einstein theory. Let VẸ = 12 x 1012 s-1, (b) If each atom carried three quanta of vibrational energy, how much vibrational energy would the crystal contain?