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Problems in General Physics

PART SIX. ATOMIC AND NUCLEAR PHYSICS

Q.157. An atom is located in a magnetic field of induction B =

Problems in General Physics

Class 11

IE Irodov

Chapter 1: PART ONE. PHYSICAL FUNDAMENTALS OF MECHANICS

277 questions

Chapter 2: PART TWO. THERMODYNAMICS AND MOLECULAR PHYSICS

9 questions

Chapter 3: PART THREE. ELECTRODYNAMICS

46 questions

Chapter 4: PART FOUR. OSCILLATIONS AND WAVES

155 questions

Chapter 5: PART FIVE. OPTICS

215 questions

Chapter 6: PART SIX. ATOMIC AND NUCLEAR PHYSICS

271 questions

Q.156. Into what number of sublevels are the following terms split in a weak magnetic field: (a)

^{3} P

₀; (b)

^{2} F

_5/2; (c)

^{4} P

_1/2?

Q.157. An atom is located in a magnetic field of induction B = 2.50 kG. Find the value of the total splitting of the following terms (expressed in eV units): (a)

^{1} D

; (b)

^{3} F

₄.

Q158. What kind of Zeeman effect, normal or anomalous, is observed in a weak magnetic field in the case of spectral lines caused by the following transitions:
(a)

^{1} P_{\to}^{1} S;

(b)

^{2} D_{5/2} \to^{2} P_{3/2};

(c)

^{3} D_{1} \to^{3} P_{0};

(d)

^{5} I_{5} \to^{5} H_{4}

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Question

Hard

Solving time: 5 mins

Q.157. An atom is located in a magnetic field of induction B = 2.50 kG. Find the value of the total splitting of the following terms (expressed in eV units): (a) $^{1} D$ ; (b) $^{3} F$ ₄.

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Problems in General Physics (IE Irodov)

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Q.157. An atom is located in a magnetic field of induction B = 2.50 kG. Find the value of the total splitting of the following terms (expressed in eV units): (a)

^{1} D

; (b)

^{3} F

₄.

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

(a) for the

^{1} D_{2}

term

g = 1 + \frac{2 \times 3 + 0 - 2 \times 3}{2 \times 2 \times 3} = 1

and

Δ E = - μ_{B} M_{J} B

M_{J} = - 2, - 1, 0, + 1, + 2

. Thus the splitting is

δ E = 4 μ_{B} B

Substitution gives

δ E = 57.9 μ eV

(b) For the

^{3} F_{4}

term

g = 1 + \frac{4 \times 5 + 1 \times 2 - 3 \times 4}{2 \times 4 \times 5} = 1 + \frac{10}{40} = \frac{5}{4}

. and

Δ = - \frac{5}{4} μ_{B} B M_{J}

where

M j = - 4

+ 4

. Thus

δ E = \frac{5}{4} μ_{B} B \times 8 = 10 μ_{B} B (= 2 g J μ_{B})

Substitution gives

δ E = 144 \cdot 7 μ eV

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Question Text	Q.157. An atom is located in a magnetic field of induction B = 2.50 kG. Find the value of the total splitting of the following terms (expressed in eV units): (a) $^{1} D$ ; (b) $^{3} F$ ₄.
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	7

Q.157. An atom is located in a magnetic field of induction B = 2.50 kG. Find the value of the total splitting of the following terms (expressed in eV units): (a) $^{1} D$ ; (b) $^{3} F$ ₄.

Text solutionVerified

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Q.157. An atom is located in a magnetic field of induction B = 2.50 kG. Find the value of the total splitting of the following terms (expressed in eV units): (a) $^{1} D$ ; (b) $^{3} F$ ₄.