IFS Physics Paper II 2023 - MCQ & Descriptive

Central Government Jobs Other Jobs 2023

  • Year 2023
  • Conducted By Not specified in OCR
  • Questions 8
  • Maximum Marks 200
  • Duration Three Hours Maximum Marks: 200

Exam Details

Detail Information
Examination Indian Forest Service (Main) Examination
Year 2023
Conducting Body Not specified in OCR
Paper Physics Paper - II
Subject Physics
Duration Three Hours Maximum Marks: 200
Maximum Marks 200
Number of Questions 8

This JSON aggregates the OCR-repaired content for Indian Forest Service (Main) Physics Paper II, 2023. Page 1 provides the examination header, timings, marks, formatting rules, and a list of useful constants. Page 2 contains objective questions for Section A (Q1–Q3) with corrected formatting, including de Broglie and Compton wavelength concepts, wavefunctions, Pauli matrix relations, and angular momentum theory. The repair process splits merged stems into distinct items and preserves numbering. The data model extracts descriptive sub-parts for Q1–Q3 and prepares them for SEO usage, with structured metadata, FAQs, topics, and image metadata suitable for web publication.

Major Topics Covered

  • Quantum mechanics
  • Compton wavelength
  • de Broglie wavelength
  • Wavefunctions
  • Probability current density
  • Pauli matrices
  • Vector model of the atom
  • LS coupling
  • jj-coupling
  • Stern-Gerlach experiment
  • Spin angular momentum
  • Landé g-factor
  • Zeeman effect
  • Harmonic oscillator
  • Uncertainty principle
  • Angular momentum algebra
  • Commutators
  • Operators J_+, J_-
  • Total angular momentum
  • Atomic structure

Why This Paper is Important

  • Useful for Indian Forest Service (Main) Examination preparation
  • Helps understand the latest exam pattern
  • Useful for practice and self-assessment
  • Covers frequently asked General Studies topics
  • Helpful for analysing question trends

Related Resources

Instructions

  • There are EIGHT questions in all, out of which FIVE are to be attempted.
  • Out of the remaining SIX questions, THREE are to be attempted selecting at least ONE question from each of the two Sections A and B.
  • Attempts of questions shall be counted in sequential order.
  • Unless struck off, attempt of a question shall be counted even if attempted partly.
  • Any page or portion of the page left blank in the Question-cum-Answer Booklet must be clearly struck off.
  • The number of marks carried by a question/part is indicated against it.
  • Unless otherwise mentioned, symbols and notations have their usual standard meanings.
  • Assume suitable data, if necessary and indicate the same clearly.
  • Neat sketches may be drawn, wherever required.
  • Answers must be written in ENGLISH only. niderli sarajn Useful Constants: = 1.673 \times 10^{-27} kg Mass of proton = 1.675 \times 10^{-27} kg Mass of neutron = 9.11 \times 10^{-31} kg Mass of electron = 6.626 \times 10^{-34} Js Planck constant = 1.380 \times 10^{-23} \text{ JK}^{-1} Boltzmann constant = 9.273 \times 10^{-24} A m2 Bohr magneton (\mu_R) = 5.051 \times 10^{-27} \text{ JT}^{-1} \text{ (A m}^2) Nuclear magneton (\mu_N) = 1.602 \times 10^{-19} C Electronic charge Atomic mass unit (u) = 1.660 \times 10^{-27} kg = 931 MeV g_s^p = 5.5855 \mu_N = 1.00727 u m(p) m(\frac{4}{2}He) = 4.002603 u m(n) = 1.00866 u m({}^{12}_{6}C) m(\frac{87}{38}Sr) = 86.908893 u = 12.00000 u m(^{2}_{1}H) = 2.014022 u m(^{3}_{1}H) = 3.0160500 \text{ u} m(^{16}_{8}O) = 15.999 up of the state state and state the state state = 1.05 \times 10^{-34} \text{ Js}1104 007,000 let us and some second solution h = 197\mathrm{eVnm} is 0 to bladed a space barrete magnetic mass as 89 N \hbar c

Questions (page 2)

Q0.

(a) Q 1. Find the condition at which de Broglie wavelength equals the Compton wavelength. de Broglie wavelength for a particle.

(b) The time independent wave function of a system is ψ
(x) = A exp(i kx);
(i) Is this wave function normalizable in the domain -∞ < x < ∞? Calculate the probability current density for this function.
(ii) The components of arbitrary vectors 𝐀 and 𝐁 commute with those of σ.

(c) (σ·A)(σ·B) = A·B + i σ·(A × B).

(d) An atomic state is denoted by { }^{4}D_{5/2}. What should be the minimum number of electrons involved for this state? Give a possible electron configuration.

(e) Often the intensity of rotational transition J = 0 → J = 1 is not the most intense. Explain.
(f) Evaluate the commutator [∂^2/∂x2, x] and hence show that [p2, x] = -2 i ħ p.

Q0.

(a) Q 2. For the nth state of the linear harmonic oscillator, evaluate the uncertainty Δx and Δp.

(b) The raising (J_+) and lowering (J_−) operators of total angular momentum are defined by J_+ = Jx + i Jy and J_- = Jx - i Jy. Find the values of the following:
(i) [Jx, J_±]
(ii) [Jy, J_±]
(iii) J_- J_+.

(c) What is vector model of the atom? On the basis of it, explain the L–S coupling.

Q0.

(a) Q 3. Describe jj-coupling under external magnetic field.

(b) How does the Stern–Gerlach experiment explain the concept of electron spin and its angular momentum quantization?

(c) Evaluate the Landé g-factor for the ^3P1 level in the 2p 3s configuration of the ^6C atom, and then calculate the splitting of the level in eV, when the atom is in an external magnetic field of 0.2 tesla.

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Frequently asked questions

What is the examination for?

Indian Forest Service (Main) Examination, Physics Paper II, 2023.

How many questions must be attempted?

Eight questions are in the paper; five must be attempted, including compulsory Q1 and Q5. From the remaining six, at least one must be chosen from Section A and at least one from Section B.

Are the answers written in English?

Yes. The paper states that answers must be written in English.

What topics are covered in Section A (Page 2)?

Section A includes concepts from quantum mechanics and angular momentum, such as de Broglie wavelength, Compton wavelength, wavefunctions, Pauli matrices, commutators, harmonic oscillator, and angular momentum algebra.

What is the role of the constants listed in Page 1?

Page 1 lists useful constants (particle masses, Planck constant, Boltzmann constant, Bohr magneton, nuclear magneton, etc.) typically used in quantum and atomic problems.

What is the significance of the Stern-Gerlach experiment mentioned in Q3?

It demonstrates electron spin quantization and angular momentum projection m_s, providing evidence for discrete spin states.

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