Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n 3 / 2 R .

Question

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Answer 1

Question

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

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Answer 2

Question

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

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Answer 3

Question

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

Expert Solution & Answer

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See solution

Answer 5

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

Answer 6

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

Answer 7

Chapter 4, Problem 60P

(a)

To determine

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

Answer 8

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

Answer 9

(b)

To determine

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

Answer 10

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

Answer 11

(c)

To determine

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n 3 / 2 R .

Solution Summary: The author explains how the binomial expansion shows that the transition produces a photon with wavelength approximately n3/2R.

Concept explainers

Start with Equation (4.30) use the binomial expansion to show that this transition produces a photon with wavelength approximately n3/2R.

Obtain the same result as in part (a), this time start with Equation (4.25) and compute dE/dn .

Using the approximate expression you derived in (a) and (b) compute the wavelength for a transition from n=101 to n=100 in hydrogen and compare the answer with the exact wavelength for this transition computed using equation (4.30).

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Chapter 4 Solutions