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- St. John's University - My App X A ALEKS - Iffat Khan G how many valence electrons in x + i www-awn.aleks.com/alekscgi/x/lsl.exe/1o_u-lgNslkr7j8P3jH-lijkPWvZoZLqkt1FLIq7wcPWKzBYGfE9IMFjNG0dB_IllkUmxjvdZ3p44elzs8GVwNxjbe5NR20.. * O MEASUREMENT Setting up the solution to a basic quantitative problem The electric field strength between the plates of a simple air capacitor is equal to the voltage across the plates divided by the distance between them. When a voltage of 94.8 V is put across the plates of such a capacitor an electric field strength of 2.3 kV is measured. cm Write an equation that will let you calculate the distance d between the plates. Your equation should contain only symbols. Be sure you define each symbol. Your equation: d =| Definitions of your symbols: kV D = 2.3 cm = 94,8 V Explanation Check © 2021 McGraw-Hill Education. All Riahts Reserved. Terms of Use I Privacy étv IIAngular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², L₂ = m₂h, 1 = 0,1,2,..., n-1 m₁ = 0, +1, +2, ..., ±l 3 1 S² = s(s+1)h²=h², S₂ = m₂h = + = h +/-ħ 4 Consider an excited electron (n > 1) on an H-atom. What is the minimum angle 0min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/VShow that the commutator [ô, ô] - 28. 2i XI
- An electron is orbiting a nucleus which has a charge of 14e, under the action of the Coulomb force at a radius of 1.14 × 10-¹0 m. Calculate the angular velocity of the electron, in radians per second. @=||A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?You are working on determining the angle that separates two hybridized orbitals. In the process of determining the coefficients in front of the various atomic orbitals, you align the first one along the z-axis and the second in the x/z-plane (so o = 0). The second hybridized orbital was determined to be: W2 = R1s + R2p, sin 0 + R2p, cos 0 Determine the angle, 0, in degrees to one decimal place (XX.X) that separates these two orbitals. Assume that the angle will be between 0 and 90 degrees.
- Suppose that an electron with uniform mass density and a radius of 10-11 m has spin angular momentum S = √3ħ/2. Find the rotational speed of the electron at its equator.A hydrogen atom can be considered as having a central pointlike proton of positive charge e and an electron of negative charge -e that is distributed about the proton according to the volume charge density r = A exp(-2r/a0). Here A is a constant, a0 = 0.53 *10-10 m, and r is the distance from the center of the atom. (a) Using the fact that the hydrogen is electrically neutral, find A. Then find the (b) magnitude and (c) direction of the atom’s electric field at a0.The rotational constant of 1H35CI is 317.8 GHz. W hatis the separation of the lines in its pure rotational spectrum(a) in gigahertz. (b) in reciprocal centimetres?
- Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has an FCC crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Intensity (relative) 40.0 Peak 1: Peak 2: Peak 3: 50.0 Peak 4: 70.0 Diffraction angle 20 a) Index (i.e., give h, and I indices) for each of these peaks. 60.0 Diffraction pattern for polycrystalline copper. 80.0 90.0A spherical shell of inner radius a cm has a volume charge density p(r, 0) =4/2tr cos 0 c/m³. The potential energy of this configuration is 5 cm and outer radius b = 7 Inner Yadius a=5 cm Outer radius b= 7 cm Volume charge dinsity pcr,@),4 cos0 .clm? Potential EnergyA negative helium ion would attract additional electrons. O True O False