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Sketch the shape and orientation of the following types of orbitals: (b) d z2

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Sketch the shape and orientation of the following types of orbitals: (a) p x

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Sketch the shape and orientation of the following types of orbitals: (c) d xy

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Sketch the shape and orientation of the following types of orbitals: (a) s

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For the table that follows, write which orbital goes with the quantum numbers. Don’t worry about x, y, z subscripts. If the quantum numbers are not allowed, write “not allowed.”

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Which of the following represent impossible combinations of n and l: (a) 1p, (b) 4s, (c) 5f, (d) 2d?

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Give the values for n, l, and m l for (a) each orbital in the 2p subshell

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Give the numerical values of n and l corresponding to each of the following orbital designations: (a) 3p

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How many possible values for l and m l  are there when (a) n = 5?
 

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How many possible values for l and m l are there when (a) n = 3?

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(c) If m l is 2, what are the possible values for l?

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(b) For l = 2, what are the possible values of m l?

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(a) For n = 4, what are the possible values of l ?

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Calculate the uncertainty in the position of (a) an electron moving at a speed of (3.00 ∓ 0.01) x 105 m/s, (b) a neutron moving at this same speed. (The masses of an electron and a neutron are given in the table of fundamental constants in the inside cover of the text.) (c)What are the implications of these calculations to our model of the atom?

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Calculate the uncertainty in the position of (b) a neutron moving at this same speed. (The masses of an electron and a neutron are given in the table of fundamental constants)

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Calculate the uncertainty in the position of (a) an electron moving at a speed of (3.00 ∓ 0.01) x 105 m/s

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Using Heisenberg’s uncertainty principle, calculate the uncertainty in the position of (b) a proton moving at a speed of (5.00 ± 0.01) x 104 m/s. 

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Using Heisenberg’s uncertainty principle, calculate the uncertainty in the position of (a) a 1.50-mg mosquito moving at a speed of 1.40 m/s if the speed is known to within ∓0.01 m/s

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The electron microscope has been widely used to obtain highly magnified images of biological and other types of materials. When an electron is accelerated through a particular potential field, it attains a speed of 8.95 x 106 m/s. What is the characteristic wavelength of this electron? Is the wavelength comparable to the size of atoms?

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Neutron diffraction is an important technique for determining the structures of molecules. Calculate the velocity of a neutron needed to achieve a wavelength of 0.955 Å. (Refer to the inside cover for the mass of the neutron).

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Among the elementary subatomic particles of physics is the muon, which decays within a few nanoseconds after formation. The muon has a rest mass 206.8 times that of an electron. Calculate the de Broglie wavelength associated with a muon traveling at a velocity of 8.85 x 105 cm/s.

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Use the de Broglie relationship to determine the wavelengths of the following objects: (d) an ozone (O3) molecule in the upper atmosphere moving at 550 m/s.

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Use the de Broglie relationship to determine the wavelengths of the following objects: (c) a lithium atom moving at 2.5 x 105 m/s

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Use the de Broglie relationship to determine the wavelengths of the following objects: (b) a 10.0-g bullet fired at 250 m/s

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Use the de Broglie relationship to determine the wavelengths of the following objects: (a) an 85-kg person skiing at 50 km/hr

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