Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 10, Problem 34P
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Can nuclei of the same element have different values of Z? Of N? Of A? Can nuclei of different elements have the same values of Z? Of N? Of A?
What is the full electron configuration in the groundstate for elements with Z equal to (a) 26, (b) 34, (c) 38?
Show that if two equivalent hybrid orbitals of the form spλ make an angle θ to each other, then λ = ±(−1/cos θ)1/2. Plot a graph of λ against θ and confirm that θ = 180° when no s orbital is included and θ = 120° when λ = 2.
Chapter 10 Solutions
Physics for Scientists and Engineers
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- Suppose that electrons had three possible values of the spin quantum number. What would be the electron configuration of an element with Z = 10?arrow_forwardShow by explicit integration that (a) hydrogenic 1s and 2s orbitals, (b) 2px and 2py orbitals are mutually orthogonal.arrow_forwardCheck Your Understanding Can the magnitude of Lzever be equal to L?arrow_forward
- The magnitudes of the resultant spins of the electrons of the elements B through Ne when in the ground state are: 3h/2 , 2h, 15h/2, 2h , 3h/2 , and 0, respectively. Argue that these spins are consistent with Hund's rule.arrow_forwardFind the minimum torque magnitude that acts on the orbital magnetic dipole of a 3p electron in an external magnetic field of 2.50 × 10-3 T.arrow_forwardFor a 3d electron in an external magnetic field of 2.50 × 10-3 T, find (a) the current associated with the orbital angular momentum, and (b) the maximum torque.arrow_forward
- An election in a hydrogen atom is in 3p state. Find the smallest angle the magnetic moment makes with the z-axis. (Express your answer in terms of µB.)arrow_forwardShow that the maximum number of electron states the nth shell of an atom is 2n2.arrow_forwardExplain how a hydrogen atom in the ground state (l = 0) can interact magnetically with an external magnetic field.arrow_forward
- 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_forwardWrite an expression for the total number of states with orbital angular momentum l.arrow_forwardAre the angular momentum vectors L necessarily S aligned?arrow_forward
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