University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 41, Problem 41.7DQ
To determine
Why it is essential for the magnetic field to be inhomogeneous in stern Gerlach experiment.
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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?
In a particular Stern-Gerlach experiment to be performed with silver atoms in the l = 0 state at 850. oC,
a scientist can reliably tell whether the silver atoms are deflected by 1.44 mm. What characteristics of
magnet should be used if the interaction length is 0.750 m? Specifically, what is the magnetic field
strength in units of Tesla per meter?
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.
Chapter 41 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 41.1 - Prob. 41.1TYUCh. 41.2 - Prob. 41.2TYUCh. 41.3 - Prob. 41.3TYUCh. 41.4 - In this section we assumed that the magnetic field...Ch. 41.5 - In which of the following situations is the...Ch. 41.6 - Prob. 41.6TYUCh. 41.7 - Prob. 41.7TYUCh. 41.8 - Prob. 41.8TYUCh. 41 - Prob. 41.1DQCh. 41 - Prob. 41.2DQ
Ch. 41 - Prob. 41.3DQCh. 41 - Prob. 41.4DQCh. 41 - Prob. 41.5DQCh. 41 - Prob. 41.6DQCh. 41 - Prob. 41.7DQCh. 41 - In the ground state of the helium atom one...Ch. 41 - Prob. 41.9DQCh. 41 - Prob. 41.10DQCh. 41 - Prob. 41.11DQCh. 41 - Prob. 41.12DQCh. 41 - Prob. 41.13DQCh. 41 - Prob. 41.14DQCh. 41 - Prob. 41.15DQCh. 41 - Prob. 41.16DQCh. 41 - Prob. 41.17DQCh. 41 - Prob. 41.18DQCh. 41 - Prob. 41.19DQCh. 41 - Prob. 41.20DQCh. 41 - Prob. 41.21DQCh. 41 - Prob. 41.22DQCh. 41 - Prob. 41.23DQCh. 41 - Prob. 41.1ECh. 41 - Prob. 41.2ECh. 41 - Prob. 41.3ECh. 41 - Prob. 41.4ECh. 41 - Prob. 41.5ECh. 41 - Prob. 41.6ECh. 41 - Prob. 41.7ECh. 41 - Prob. 41.8ECh. 41 - Prob. 41.9ECh. 41 - Prob. 41.10ECh. 41 - Prob. 41.11ECh. 41 - Prob. 41.12ECh. 41 - Prob. 41.13ECh. 41 - Prob. 41.14ECh. 41 - Prob. 41.15ECh. 41 - Prob. 41.16ECh. 41 - Prob. 41.17ECh. 41 - Prob. 41.18ECh. 41 - A hydrogen atom in a 3p state is placed in a...Ch. 41 - Prob. 41.20ECh. 41 - Prob. 41.21ECh. 41 - Prob. 41.22ECh. 41 - Prob. 41.23ECh. 41 - Prob. 41.24ECh. 41 - Prob. 41.25ECh. 41 - Prob. 41.26ECh. 41 - Prob. 41.27ECh. 41 - Prob. 41.28ECh. 41 - Prob. 41.29ECh. 41 - (a) Write out the ground-state electron...Ch. 41 - Prob. 41.31ECh. 41 - Prob. 41.32ECh. 41 - Prob. 41.33ECh. 41 - Prob. 41.34ECh. 41 - Prob. 41.35ECh. 41 - Prob. 41.36ECh. 41 - Prob. 41.37ECh. 41 - Prob. 41.38ECh. 41 - Prob. 41.39PCh. 41 - Prob. 41.40PCh. 41 - Prob. 41.41PCh. 41 - Prob. 41.42PCh. 41 - Prob. 41.43PCh. 41 - Prob. 41.44PCh. 41 - Prob. 41.45PCh. 41 - Prob. 41.46PCh. 41 - Prob. 41.47PCh. 41 - Prob. 41.48PCh. 41 - Prob. 41.49PCh. 41 - Prob. 41.50PCh. 41 - Prob. 41.51PCh. 41 - Prob. 41.52PCh. 41 - Prob. 41.53PCh. 41 - Prob. 41.54PCh. 41 - Prob. 41.55PCh. 41 - Prob. 41.56PCh. 41 - Prob. 41.57PCh. 41 - Effective Magnetic Field. An electron in a...Ch. 41 - Prob. 41.59PCh. 41 - Prob. 41.60PCh. 41 - Prob. 41.61PCh. 41 - Prob. 41.62PCh. 41 - Prob. 41.63PCh. 41 - Prob. 41.64PCh. 41 - Prob. 41.65PCh. 41 - Prob. 41.66PCh. 41 - Prob. 41.67PCh. 41 - Prob. 41.68CPCh. 41 - Prob. 41.69CPCh. 41 - Prob. 41.70PPCh. 41 - Prob. 41.71PPCh. 41 - Prob. 41.72PPCh. 41 - Prob. 41.73PP
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- (a) The current i due to a charge q moving in a circle with frequency frev is q frev. 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 A-m2. This magnetic moment is called a Bohr magneton.arrow_forwardFor a 5p electron in an external magnetic field of 4.70 ✕ 10−3 T, find the following. (a) the current (in A) associated with the orbital angular momentum (b) the maximum torque (in N · m)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
- What was used in the Stern-Gerlach experiment to creat an inhomogeneous magnetic field?arrow_forwardThe Stern-Gerlach (S-G) experiment established that electrons have an intrinsic angular momentum, that is termed "spin". In the diagrams of S-G setups below, the source produces a beam of hydrogen atoms that propagates along the y-axis, but the spins of the hydrogen atoms can be along any direction. In the middle box the S-G axis indicates the direction of the nonuniform magnetic field, and a hashed box blocks the progress of a beam that was created by passing through the S-G instrument (indicated by a solid line, which does not continue past the hashed box). The third box represents a second S-G instrument, and the axis of its inhomogeneous magnetic field is indicated as either along the z or x axes. Note that the sources produce atoms with spins in all directions of space. (a) Following the notation used to indicate the spin states of the beams emerging from the first (left) S-G apparatuses below, indicate the spin states of the beams you expect to emerge from the second (right) S-G…arrow_forward(a) The current i due to a charge q moving in a circle with frequency frev is qfrev · 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
- The Stern-Gerlach experiment is always performed with the beam of nuetral atoms wouldn't be easier to form beam using ionized atoms? Why wouldn't this work?arrow_forwardThe Stern–Gerlach experiment is always performed with beams of neutral atoms. Wouldn’t it be easier to form beams using ionized atoms? Why won’t this work?arrow_forwardAn 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)?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_forwardsolve 6arrow_forwardIn sodium, one of the two yellow lines has a wavelength of 589.76 nm and is the transition from the 2P₁ state to the 2s, 1/2 1/2 state. If a sodium atom is placed in a magnetic field due to the anomalous Zeeman effect, it can be shown that the energy splitting may be determined by V = μBB extgm,. If the magnitude of the external magnetic field is 2.45 T, determine the difference in wavelength (in m) between the shortest and longest wavelength between these two states. 123 Tutorial marrow_forward
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