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- What common charateristic do the lines in the Balmer series have? And fundamentally, why would any line in the hydrogen specctrum between 250nm and 700nm belong to the Balmer series?The electronic structure of one-dimensional chain of sodium (Na) atoms can be approximately described by the particle-in-a-box model. The energy of each state can be calculated using n²h? En = 5,n = 1,2,3, ... 8mL2 where L is the length of the 1D chain. Assuming L = ao(N – 1), where N is the number of Na atoms and ao = 0.360 nm is the internuclear distance. a) Determine the energy gap between the highest occupied energy level and the lowest unoccupied energy level as a function of N. Assume that N is an even number that is large enoughThe distance r between the electron and the nucleus in a hydrogenatom (in its lowest energy state) is a random variable with probability density p(r) = 4a03r2e- 2r/ao for r > 0, where ao is the Bohr radius (Figure 8). Calculate the probability P that the electron is within one Bohrradius of the nucleus. The value of a0 is approximately 5.29 x 10- 11 m,but this value is not needed to compute P.
- The radial wave function for the 5f orbital can be expressed as: Rn (r) = Ne-r/5 p3 (8-4) where N is a normalization constant. a. What is n? n = a. What is l? = c. How many nodes does this wave function have? # nodes= d. Compute the numerical value of the integral Jo I 2 Rn,Kr) Rn,(r) dr :Problem #5: Calculate the equilibrium electron and hole densities for the following samples and determine if they are n-type, p-type or intrinsic: A) Si doped with 7x1017cm-³ Boron atoms. B) Si doped with 2x101$cm-³ phosphorous atoms and with 2x1017cm³ boron atoms. C) Si doped with 2x1018cm3 phosphorous atoms and with 2x1018cm-3 boron atoms.Form factor of atomic hydrogen. For the hydrogen atom in its ground state, the number density is n(r) = (ra)¯ exp(-2r/a), where a, is the Bohr radius. Show that the form factor is fc = 16/(4 + G*a)*. %3D
- Sin Q2 // A sample of a certain element is placed in a uniform magnetic field of intensity (0.3 T), what are the intervals between the simple Zeeman lines of the spectral line whose wavelength is 4500 Inchrestom? E5 6 À (x10-² nm) 7 8 9 10 Relative intensity Mo 9 9 12 vith → To 15.2 → To 37.2Which of the following transilions give the highest. frequency for electron emission? 2. %D ☺ n, = 2 lo m2=5 %3D w n, =5 to nz=2 %3D
- In how many different configurations can four particles be distributed over a set of evenly spaced energy levels (AE=ɛ) such that the total energy is 4ɛ? Select one: а. 8 b. 11 С. 5 d. 3➤Calculate the four largest wavelengths for the Brackett and Pfund series for hydrogen. Hint: Brackett (n = 4), Pfund (n = 5) mimo.com po MA triply ionised beryllium atom (Be+++, Z = 4) has only one electron in orbit about the nucleus. If the electron decays from the n 7 level to the first excited state (n = 2), calculate the wavelength of the photon emitted. Please give your answer in units of nm, rounded to one decimal place. Answer: