a) Graph of ψ 200 2 r and show that this plot is consistent with the dot plot of F i g . 39 - 21 b) Analytically show that ψ 200 2 r has a maximum at r = 4 a . c) The radial probability density P 200 r d) Show that ∫ 0 ∞ P 200 r d r = 1

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Answer 1

Question

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

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Kα X-ray lines are emitted from a target with atomic number Z when an electron jumps down from n = 2 to n = 1 state. If I use the approximate formula for the electron energy levels En = -(Z-1)2(13.6)/n2 eV, I can derive Moseley’s law √f = a(Z−b). What are the values of the constants a and b? A) a = 4.96*107 Hz1/2, b = 0 B) a = 4.96*107 Hz1/2, b = 1 C) a = 1.24*1017 Hz1/2, b = 1 D) a = 1.24*1017 Hz1/2, b = 0 E) none of these.

The light observed that is emitted by a hydrogen atom is explained by a simple model of its structure with one proton in its nucleus and an electron bound to it, but only with internal energies of the atom satisfying EH=−RH/n2EH=−RH/n2 where RHRH is the Rydberg constant and nn is an integer such as 1, 2, 3 ... and so on. When a hydrogen atom in an excited state emits light, the photon carries away energy and the atom goes into a lower energy state. Be careful about units. The Rydberg constant in eV is 13.605693009 eV That would be multiplied by the charge on the electron 1.602× 10-19 C to give 2.18× 10-18 J A photon with this energy would have a frequency f such that E=hf. Its wavelength would be λ = c/f = hc/E. Sometimes it is handy to measure the Rydberg constant in units of 1/length for this reason. You may see it given as 109737 cm-1 if you search the web, so be aware that's not joules. The following questions are intended to help you understand the connection between…

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Answer 2

Question

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

Answer 6

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

Answer 7

Chapter 39, Problem 54P

To determine

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 39 - Prob. 1Q Ch. 39 - Prob. 2Q Ch. 39 - Prob. 3Q Ch. 39 - Prob. 4Q Ch. 39 - Prob. 5Q Ch. 39 - Prob. 6Q Ch. 39 - Prob. 7Q Ch. 39 - Prob. 8Q Ch. 39 - Prob. 9Q Ch. 39 - Prob. 10Q

a) Graph of ψ 200 2 r and show that this plot is consistent with the dot plot of F i g . 39 - 21 b) Analytically show that ψ 200 2 r has a maximum at r = 4 a . c) The radial probability density P 200 r d) Show that ∫ 0 ∞ P 200 r d r = 1

Solution Summary: The author compares the graph of psi and its radial probability density with the dot plot in Fig.39-21.

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1

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Chapter 39 Solutions

a) Graph of ψ 200 2 r and show that this plot is consistent with the dot plot of F i g . 39 - 21 b) Analytically show that ψ 200 2 r has a maximum at r = 4 a . c) The radial probability density P 200 r d) Show that ∫ 0 ∞ P 200 r d r = 1

Solution Summary: The author compares the graph of psi and its radial probability density with the dot plot in Fig.39-21.

To find: a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21 b) Analytically show that ψ2002r has a maximum at r=4a. c) The radial probability density P200r d) Show that ∫0∞P200rdr=1

Want to see the full answer?

Chapter 39 Solutions

To find:

a) Graph of ψ2002r and show that this plot is consistent with the dot plot of Fig.39-21

b) Analytically show that ψ2002r has a maximum at r=4a.

c) The radial probability density P200r

d) Show that

∫0∞P200rdr=1