Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 40, Problem 13P
SSM What is the acceleration of a silver atom as it passes through the deflecting magnet in the Stern–Gerlach experiment of Fig. 40-8 if the magnetic field gradient is 1.4T/mm?
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What is the acceleration of a silver atom as it passes through the deflecting magnet in the Stern–Gerlach experiment of if the magnetic field gradient is 1.4 T/mm?
What 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.
An experimenter wants to separate silver atoms in a Stern-Gerlach experiment by at least 1 cm (a large separation) as they exit the magnetic fi eld. To heat the silver she has an oven that can reach 1000°C and needs to order a suitable magnet. What should be the magnet specifi cations (magnet length and magnetic fi eld gradient)?
Chapter 40 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 40 - Prob. 1QCh. 40 - Prob. 2QCh. 40 - Prob. 3QCh. 40 - Prob. 4QCh. 40 - Prob. 5QCh. 40 - Prob. 6QCh. 40 - Prob. 7QCh. 40 - Figure 40-22 shows three points at which a spin-up...Ch. 40 - Prob. 9QCh. 40 - Prob. 10Q
Ch. 40 - Prob. 11QCh. 40 - Prob. 12QCh. 40 - Prob. 13QCh. 40 - Prob. 14QCh. 40 - Prob. 1PCh. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - Prob. 7PCh. 40 - Prob. 8PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - SSM What is the acceleration of a silver atom as...Ch. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Assume that in the SternGerlach experiment as...Ch. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Show that the number of states with the same...Ch. 40 - Prob. 29PCh. 40 - For a helium atom in its ground state, what are...Ch. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60PCh. 40 - Prob. 61PCh. 40 - Prob. 62PCh. 40 - Prob. 63PCh. 40 - Prob. 64PCh. 40 - Prob. 65PCh. 40 - Prob. 66PCh. 40 - Prob. 67PCh. 40 - Prob. 68PCh. 40 - Prob. 69PCh. 40 - Prob. 70PCh. 40 - Prob. 71PCh. 40 - Prob. 72PCh. 40 - Prob. 73PCh. 40 - Prob. 74PCh. 40 - Prob. 75PCh. 40 - Prob. 76PCh. 40 - Prob. 77PCh. 40 - Prob. 78PCh. 40 - Prob. 79P
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- Consider the original Stern–Gerlach experiment employing an atomic beam of silver, for which the magnetic moment is due entirely to the spin of the single valence electron of the silver atom. Assuming the magnetic field B has magnitude 0.500 T, compute the energy difference in electron volts of the silver atoms in the two exiting beams.arrow_forwardCalculate the (a) smaller and (b) larger value of the semiclassical angle between the electron spin angular momentum vector and the magnetic field in a Stern–Gerlach experiment. Bear in mind that the orbital angular momentum of the valence electron in the silver atom is zero.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_forward
- JC-59) Stern-Gerlach Revisited Suppose the silver atoms in the Stern-Gerlach experiment traveled horizontally, first 1 m through the magnet and then after exiting the magnet, 1 m in a field-free region at a speed of 250 m/s. What must have been the gradient of Bz, dB/dz, in order that the beams each be deflected a maximum of 0.5 mm from the central position?arrow_forwardWhat is the full electron configuration in the groundstate for elements with Z equal to (a) 26, (b) 34, (c) 38?arrow_forwardAn atom has completely filled inner shells and a single valence electron in an excited p state. The filled inner shells have an orbital momentum equal to zero. A magnetic field is applied. What is the set of possible angles between the magnetic field and the orbital angular momentum? O 45°, 135° 90° O 45° O 45°, 90°, 135° O 45°, 90°arrow_forward
- Problem 63. 64 Martian CO, laser. Where sunlight shines on the atmosphere E = 0.289 eV of Mars, carbon dioxide mole- cules at an altitude of about 75 km undergo natural laser action. The energy levels involved in the action are shown in Fig. 40-26; population inversion occurs be- tween energy levels E, and E. (a) What wavelength of sunlight E = 0.165 ev E =0 excites the molecules in the las- Figure 40-26 Problem 64. ing action? (b) At what wave- length does lasing occur? (c) In what region of the electromag- netic spectrum do the excitation and lasing wavelengths lie?arrow_forwardAn Atom has zero orbital angular momentum ad a spin quantum number 1/2. It is found to be in the |↑z> state. A measurement is performed on the value of its angular momentum in a direction at an angle Θ (theta) to the z-axis. Show that the probability of its angular momentum being parallel to this new axis is cos2(Θ/2).arrow_forwardIn 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_forward
- If the magnetic dipole moment of an atom is 1*10 ^24J/T, then this atom has a magnetic field of 10 Thow much does the potential energy change when placed?arrow_forwardAn electron is in a spin state given by 2 to = √² (¹/²) |x) 3 Find the probability that a measurement of Sy will yield the value +ħ/2.arrow_forwardIn a block of Cobalt/iron alloy, it is suspected that the Cobalt (Z 27) is very poorly mixed with the iron (Z 26). Given that the ionization energy of hydrogen is 13.6 eV predict the energies of the K absorption edges of the constituents of the alloy. = =arrow_forward
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