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Figure 32-37a is a one-axis graph along which two of the allowed energy values (levels) of an atom are plotted. When the atom is placed in a magnetic field of 0.500 T, the graph changes to that of Fig. 32-37b because of the energy associated with
Figure 32-37 Problem 32.
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Fundamentals of Physics, Volume 1, Chapter 1-20
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- The potential energy of a magnetic moment in an external magnetic field is given by U = -u-B. The magnetic moment associated with the spin of an electron is 5.79 x 10-5 eV/T. Calculate the difference in energy between the two possible orientations of an electron in energy in a magnetic field B = (0.8 T) k. Answer in units of eV. %3D %3D If these electrons are bombarded with photons of energy equal to this energy difference, "spin flip" transitions can be induced. Find the wavelength of the photons needed for such transitions. (This phenomenon is called electron spin resonance.) Answer in units of cm.arrow_forwardIn the Bohr model of the hydrogen atom an e-1 in the ground state has a speed of 2.20×10^6m/s at a radius of 4.29×10^-11m.The charge of an e-1 is 1.60×10^-19c.Find the magnetic dipole moment of the atomarrow_forwardThe force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?arrow_forward
- A mystery particle enters the region between the plates of a Thomson apparatus as shown in Figure 4.6. The deflection angle θ is measured to be 0.20 radians (downwards) for this particle when V = 2000 V, ℓ = 10.0 cm, and d = 2.00 cm. If a perpendicular magnetic field of magnitude 4.57 × 10−2 T is applied simultaneously with the electric field, the particle passes through the plates without deflection. (a) Find q/m for this particle. (b) Identify the particle. (c) Find the horizontal speed with which the particle entered the plates. (d) Must we use relativistic mechanics for this particle?arrow_forwardSuppose that 4 are the limits to the values of for an electron in an atom. (a) How many different values of the electron’s morb,z are possible? (b) What is the greatest magnitude of those possible values? Next, if the atom is in a magnetic field of magnitude 0.250 T, in the positive direction of the z axis, what are (c) the maximum energy and (d) the minimum energy associated with those possible values of morb,z?arrow_forwardX rays with a wavelength of 73.0 pm are directed onto a gold foil and eject tightly bound electrons from atoms of the foil. The ejected electrons then move in circular paths of radius r in a region of uniform magnetic field with magnitude B. For the fastest of the ejected electrons, the product Br is equal to 2.46 x 104 T•m. Find (a) the maximum kinetic energy of those electrons and (b) the work done in removing them from the gold atoms.arrow_forward
- Electrons passes undeviated through crossed electric and magnetic fields. If E = 5 × 10¹ N/c and B = 4 × 10-4 Wb/m² find the velocity of electrons.arrow_forwardFor an electron in the atomic state n = 3,1 = 1, and me = 1, what is the magnitude of the orbital h angular momentum vector, in units of 2TT Lz,max h 2πT |Z| = If a magnetic field is applied to the atom, what is the magnitude of the maximum component of the angular momentum vector in the direction of B? Give your answer as a multiple of : h 2π X X : h 2πarrow_forwardFor Nickel the number density is 8×10 atoms / cm' and electronic configuration is 1s 2s 2p°3s²3p°3d* 4s² . The value of the saturation magnetization of Nickel in its 6 - ferromagnetic state is x10° A/ m. (Given the value of Bohr magneton µ, = 9.21x10" Am? )arrow_forward
- An electron entering Thomson’s e/m apparatus has an initial velocity (in horizontal direction only) of 4.0 x 106 m/s. In the lab is a permanent horseshoe magnet of strength 12 mT, which you would like to use. (a) What electric fi eld will you need in order to produce zero defl ection of the electrons as they travel through the apparatus? (b) The length of nonzero E and B fi elds is 2.0 cm. When the magnetic fi eld is turned off, but the same electric field remains, how far in the vertical direction will the electron beam be deflected over this length?magnetic fi eld is turned off, but the same electric fi eld remains, how far in the vertical direction will the electron beam be defl ected over this lengtharrow_forward73 SSM Lasers can be used to generate pulses of light whose du- rations are as short as 10 fs. (a) How many wavelengths of light (A = 500 nm) are contained in such a pulse? (b) In 10 fs 1s 1s х* what is the missing quantity X (in years)?arrow_forwardA hydrogen atom in an n=2, I=1, m1 = -1 state emits a photon when it decays to an n=1 I=0, mI=0 ground state. If the atom is in a magnetic field in the + z direction and with a magnitude of 2.50 T, what is the shift in the wavelength of the photon from zero-field value?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
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