6.An atomic hydrogen atom is immersed in a magnetic field of 12.44 T. For the 2p to 1s transition more than one line will appear due to the Zeeman effect. What is the smallest wavelength separation of these lines?
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6.An atomic hydrogen atom is immersed in a magnetic field of 12.44 T. For the 2p to 1s transition more than one line will appear due to the Zeeman effect. What is the smallest wavelength separation of these lines? (in units of picometers (pm)).
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- The Rydberg constant for a Hydrogen atom is R = 1.097 x 107 m-1. What is the ionisation energy of Hydrogen? Select one: a. 10.6 eV b. 5.7 eV c. 7.8 eV d. 13.6 eV3. Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction is (2a.)3/2 /3a. 2ao , where a, is the Bohr radius. (a) 2-axis? What possible angles might the angular momentum vector L make with the (b) What is the most probable radius (in terms of a,) at which the electron is found? (c) What is the expectation value of r in this state? Note: xe-"dx = 120. (p) S° x*e-dx = 23.91. What is the probability of finding such an electron between a, and oo? Note:2. Below are the energies of the first 6 energy levels in Lithium as well as the energies of 6 photons. How many of the photons can be created by an electron that transitions between the any two of the first 6 energy levels in Lithium? En (eV) n 1 2 3 4 5 6 -122.4 -30.6 -13.6 -7.65 -4.896 -3.4 Photon Energies (eV) 108.8 2.754 12.562 27.2 47.29 17.0
- 3. Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction e 2ao, where a, is the Bohr radius. 1 is (2ао)3/2 VЗа. (а) What possible angles might the angular momentum vector L make with the Z-axis? (b) What is the most probable radius (in terms of a.) at which the electron is found? (c) What is the expectation value of r in this state? Note: S xe-"dx 120. (d) What is the probability of finding such an electron between a, and ∞? Note: ° x*e-"dx = 23.91.4. An H-atom is in is state. a. What is the probability that the electron is found in sphere given by r ≤ ao b. What is (r) ? c. calculate ().2. Consider the states of hydrogen atom given by (n, l, m) where n a. What is the maximum value of l? If L² is measured what is the maximum possible value that can be obtained? b. What is the maximum value of L₂?
- 6. In the hydrogen spectrum, the series of lines called the Lyman series results from transitions to the n = What is the longest wavelength in this series? 1 nm 60 ssf60 ssf60 s energy level. sf60 ssf6ů 60 sstAn electron is orbiting in the n = 3 orbit of an hydrogen atom. It is promoted by absorption of light energy to the n = 4 level. The Rydberg constant is R = 1.097 x 107 m-1. What is the wavelength of the light absorbed? Select one: a. 427 nm b. 1.094 μm c. 1.875 μm d. 763 nmThe Balmer series in hydrogen includes the Paschen series. has four lines in the ultraviolet. O includes both the Paschen series and the Lyman series. O has four lines in the visible. O includes the Lyman series.