(a) the number of sub-shells for n = 2 (b) the electron states n = 2 (c) the number of sub-shells for n = 5 (d) the electron states n = 5

Question

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Answer 1

Question

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).

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Answer 2

Question

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

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Answer 3

Question

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

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Answer 4

Question

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

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Answer 5

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

Answer 6

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

Answer 7

Chapter 40, Problem 1Q

To determine

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Answer 8

Expert Solution & Answer

Answer to Problem 1Q

Solution:

(a) For n = 2, it has 2 sub shells.

(b) For n = 2, there will be 8 electron states.

(c) For n = 5, it has 5 sub shells.

(d) For n = 5, there will be 50 electron states

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

For a given quantum number n there are n possible values of l, ranging from 0 to n −1.

For each l the number of possible electron states with m_l values is (2l + 1).

For each m_l the electron can have two different spin orientations.

Thus, the total number of electron states for a given l is given by N_l = 2(2 l+ 1).

(e) For n = 2, it has 2 sub shells.

(f) For n = 2, the number of electrons 2n², there will be 8 electron states.

(g) For n = 5, it has 5 sub shells.

(h) For n = 5, the number of electrons 2n², there will be 50 electron states

Conclusion

For an l quantum number, there are (2l+1) number of possible m_l values.

Answer 12

Ch. 40 - Prob. 1Q Ch. 40 - Prob. 2Q Ch. 40 - Prob. 3Q Ch. 40 - Prob. 4Q Ch. 40 - Prob. 5Q Ch. 40 - Prob. 6Q Ch. 40 - Prob. 7Q Ch. 40 - Figure 40-22 shows three points at which a spin-up...Ch. 40 - Prob. 9Q Ch. 40 - Prob. 10Q

(a) the number of sub-shells for n = 2 (b) the electron states n = 2 (c) the number of sub-shells for n = 5 (d) the electron states n = 5

Concept explainers

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5

Answer to Problem 1Q

Explanation of Solution

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Chapter 40 Solutions

(a) the number of sub-shells for n = 2 (b) the electron states n = 2 (c) the number of sub-shells for n = 5 (d) the electron states n = 5

Concept explainers

To calculate: (a) the number of sub-shells for n = 2 (b) the electron states n = 2 (c) the number of sub-shells for n = 5 (d) the electron states n = 5

Answer to Problem 1Q

Explanation of Solution

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Chapter 40 Solutions

To calculate:

(a) the number of sub-shells for n = 2

(b) the electron states n = 2

(c) the number of sub-shells for n = 5

(d) the electron states n = 5