Assume that in the Stern–Gerlach experiment as described for neutral silver atoms, the magnetic field
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- 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?arrow_forward(a) The L→ K transition of an X-ray tube containing a molybdenum (Z = 42) target occurs at a wavelength of 0.0724 nm. Use this information to estimate the screening parameter of the K-shell electrons in molybdenum. [Osmania University]arrow_forwardElectrons in the lower of two spin states in a magnetic field can absorb a photon of the right frequency and move to the higher state. Find the magnetic-field magnitude B required for this transition in a hydrogen atom with n = 1 and l = 0 to be induced by microwaves with wavelength l.arrow_forward
- Suppose two electrons in an atom have quantum numbers n = 3 and ℓ = 2. (a) How many states are possible for those two electrons? (Keep in mind that the electrons are indistinguishable.) (b) If the Pauli exclusion did not apply to the electrons, how many states would be possible?arrow_forwardAssume that in the Stem-Gerlach experiment as described for neutral silver atoms,the magnetic field B has a magnitude of 0.25 T. Calculate the energy difference between the magnetic moment orientations of the silver atoms in the two sub beams? a)111.97 Ghz b)83.98 Ghz c)7.00 Ghz d)20.99 Ghz e)41.99 Ghzarrow_forwardUse the Bohr theory to estimate the wavelength for an n = 3 to n = 1 transition in molybdenum. The measured value is 0.063 nm. Why do we not expect perfect agreement?arrow_forward
- In 1927 T. E. Phipps and J. B. Taylor of the University of Illinois reported an important experiment similar to the Stern-Gerlach experiment but using hydrogen atoms instead of silver. This was done because hydrogen is the simplest atom, and the separation of the atomic beam in the inhomogeneous magnetic field would allow a clearer interpretation. The atomic hydrogen beam was produced in a discharge tube having a temperature of 663 K. The highly collimated beam passed along the x direction through an inhomogeneous field (of length 3 cm) having an average gradient of 1240 T/m along the z direction. If the magnetic moment of the hydrogen atom is 1 Bohr magneton, what is the separation of the atomic beam?arrow_forwardAn electron in a hydrogen atom undergoes a transition from an energy level with n=4 to an energy level with n=2. Calculate the energy change (in electron volts) during this transition. Given: Rydberg constant R_H=13.6 eV.arrow_forwardWhat would be the outcome of the Stern-Gerlach experiment if (a) a homogeneous (as opposed to inhomogeneous) magnetic field was used? (b) silver atoms were like classical magnets? Discuss if the beam of silver atoms would get split or not. Suppose that the beam direction is +x, and the magnetic field B is applied in the z direction.arrow_forward
- What is the value of n in the Balmer series for which the wavelength is 410.2 nm. If a hydrogen atom in the ground state absorbs a photon of energy 12.09 eV, to which state will the electron make a transition?arrow_forwardA laser transition in a certain atom has an Einstein A coefficient of 7.8 x 107 s-¹. The population of the upper level at time t = 0 is No. What is the population of the upper level at time t= 10 ns?arrow_forward(a) The current i due to a charge q moving in a circle with frequency frev is qfrev . (a) Find the current due to the electron in the first Bohr orbit. (b) The magnetic moment of a current loop is iA, where A is the area of the loop. Find the magnetic moment of the electron in the first Bohr orbit in units Am2 . This magnetic moment is called a Bohr magneton.arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning