Physics Paper II

Maharashtra Government Jobs Other Jobs 2025

  • Year 2025
  • Conducted By Maharashtra Government
  • Maximum Marks 250
  • Duration Three Hours

Exam Details

Detail Information
Examination Physics Paper II
Year 2025
Conducting Body Maharashtra Government
Paper Physics Paper II
Subject Physics
Duration Three Hours
Maximum Marks 250

This page hosts the Physics Paper II (2025) question paper conducted by Maharashtra Government. Subject: Physics. Maximum marks: 250. Duration: Three Hours. Read exam instructions and page-2 questions online, or download the official PDF for offline practice.

Major Topics Covered

  • Quantum Mechanics
  • Hamiltonian
  • Eigenvalues
  • Eigenstates
  • Parameter dependence
  • Perturbation-like derivative with respect to λ
  • Schrödinger equation
  • Fourier transform
  • Free particle
  • Normalization
  • Time evolution
  • Wave functions
  • Commutation relations
  • Angular momentum operators L, S, J
  • Commutators
  • Operator algebra
  • Unitary evolution
  • Expectation value
  • Normalization constants

Why This Paper is Important

  • Useful for Physics Paper II 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

  • त्राग्य पेवा (गुम्ध) परीक्षा - २०२५ वरीक्षा दिनोक ०२ में, २०२६ 2025 X23(B) BOOKLET NO. 237026 Physics Paper - II Maximum Marks: 250 Time Allowed: Three Hours Type of Paper: Conventional / Descriptive Medium: English

  • There are EIGHT questions divided in two Sections, out of which FIVE are to be attempted. ⋇ Question No. 1 and 5 are compulsory.
  • Out of the remaining, THREE are to be attempted
  • * SE choosing at least ONE question from each Section. \ast .
  • The number of marks carried by a question/sub-question is indicated against it.
  • The medium of answer should be mentioned on the answer book as claimed in the application and
  • printed on admission card.
  • The answers written in medium other than the authorized medium will not be assessed and no marks will be assigned to them.
  • Wherever option has been given, only the required number of responses in the serial order attempted shall be assessed.
  • Unless struck off, attempt of a question shall be counted even if attempted partly.
  • Excess responses shall not be assessed and shall be ignored.
  • Candidates are expected to answer all the sub-questions of a question together.
  • question is attempted elsewhere (after leaving a few page or after attempting another question) the later sub-question shall be overlooked.
  • Keep in mind the word limit indicated in the question if any.
  • Any page or portion of the page left blank in the Answer Booklet must be clearly struck off.
  • Unless otherwise mentioned, symbol and notation have their usual standard meanings. Assume suitable
  • data, if necessary and indicate the same clearly. Neat sketches may be drawn, wherever required.
  • Note: Candidates will be allowed to use Scientific (Non-programmable type) calculators. P.T.O. \omega_{\rm c}=-1

Questions (page 2)

Q0. Q1. A free particle has the initial wave function 10 (a) Ψ(x, 0) = Ae-a|x| where A and a are positive real constants. Then i) Normalise Ψ(x, 0) ii) Construct Ψ(x, t) in the form of an integral. Given: Solution to the Schrödinger equation for the free particle is Ψ(x, t) = (1/√(2π)) ∫ exp(ikx - iħ k2 t / 2m) \tildeΨ_0(K) dK

Q0. Q1. (b) If the Hamiltonian H(λ) of a quantum system be a function of a continuous parameter λ. If En(λ) be the n-th eigenvalue and |Ψ_n(λ)⟩ be its corresponding normalised eigen state such that H(λ)|ψ_n(λ)⟩ = En(λ)|ψ_n(λ)⟩ Show that derivative of eigenvalue En with respect to the parameter 'λ' is given by ∂En(λ)/∂λ = ⟨ψ_n(λ) | ∂H(λ)/∂λ | ψ_n(λ)⟩.

Q0. Q1.
(c) Evaluate the following commutators i) [L̄, S̄, L̄] ii) [L̄·S̄, S̄] iii) [L̄, S̄, J̄] iv) [L̄, S̄, L2] v) [L̄, S̄, S2] i) [L̄·S̄, J2] Comment on your result.

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Physics Paper II 2025 Physics Paper II Maharashtra Government question paper page 1 instructions scan PDF download
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Physics Paper II 2025 Physics Paper II Maharashtra Government question paper page 1 instructions scan PDF download

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The Physics Paper II is conducted by Maharashtra Government. This portal reproduces the scanned question paper for practice and revision.

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