Physics Paper II (UPSC 2025) – Quantum & Rotational Topics

Central Government Jobs Other Jobs 2025

  • Year 2025
  • Conducted By Union Public Service Commission (UPSC)
  • Questions 8
  • Maximum Marks 250
  • Duration Three Hours Maximum Marks: 250 Question Paper Specific Instructions (please Read Each Of The Following Instructions Carefully Before Attempting Questions) There Are Eight Questions Divided In Two Sections And Printed Both In Hindi And In English. Candidate Has To Attempt Five Questions In All. Question Nos. 1 And 5 Are Compulsory And Out Of The Remaining, Three Are To Be Attempted Choosing At Least One Question From Each Section. The Number Of Marks Carried By A Question/part Is Indicated Against It. Answers Must Be Written In The Medium Authorized In The Admission Certificate Which Must Be Stated Clearly On The Cover Of This Question-cum-answer (qca) Booklet In The Space Provided. No Marks Will Be Given For Answers Written In A Medium Other Than The Authorized One. Assume Suitable Data, If Considered Necessary, And Indicate The Same Clearly. Unless And Otherwise Indicated, Symbols And Notations Carry Their Usual Standard Meanings. 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.

Exam Details

Detail Information
Examination Physics Paper II
Year 2025
Conducting Body Union Public Service Commission (UPSC)
Subject Physics
Duration Three Hours Maximum Marks: 250 Question Paper Specific Instructions (please Read Each Of The Following Instructions Carefully Before Attempting Questions) There Are Eight Questions Divided In Two Sections And Printed Both In Hindi And In English. Candidate Has To Attempt Five Questions In All. Question Nos. 1 And 5 Are Compulsory And Out Of The Remaining, Three Are To Be Attempted Choosing At Least One Question From Each Section. The Number Of Marks Carried By A Question/part Is Indicated Against It. Answers Must Be Written In The Medium Authorized In The Admission Certificate Which Must Be Stated Clearly On The Cover Of This Question-cum-answer (qca) Booklet In The Space Provided. No Marks Will Be Given For Answers Written In A Medium Other Than The Authorized One. Assume Suitable Data, If Considered Necessary, And Indicate The Same Clearly. Unless And Otherwise Indicated, Symbols And Notations Carry Their Usual Standard Meanings. 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.
Maximum Marks 250
Number of Questions 8

This dataset compiles the Physics Paper II (UPSC 2025) materials from Page 1 and Page 2 OCR. It includes exam details (time, marks, language), and a repaired set of descriptive questions focusing on uncertainty in measurements, quantum confinement in infinite potential wells, Zeeman patterns, rotational state populations at high temperature, and L-S coupling for two-electron atoms. Additionally, it includes a relativistic density of states derivation. The content is prepared to support SEO enrichment with structured metadata, detailed FAQ, and robust metadata fields for search optimization.

Major Topics Covered

  • Quantum mechanics
  • Uncertainty principle
  • Measurement uncertainty
  • Infinite potential well
  • Ground state energy
  • Zeeman effect
  • Normal Zeeman pattern
  • Atomic transitions
  • Rotational states
  • Population density
  • High-temperature approximations
  • L-S coupling
  • Two-electron atoms
  • Angular momentum
  • Spin-orbit coupling
  • Density of states
  • Relativistic density of states
  • Planck constant
  • Speed of light
  • Relativistic quantum theory

Why This Paper is Important

  • Useful for UPSC Civil Services (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

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Instructions

  • इसमें आठ प्रश्न हैं जो दो खण्डों में विभाजित हैं तथा हिन्दी और अंग्रेजी दोनों में छपे हुए हैं।
  • परीक्षार्थी को कुल पाँच प्रश्नों के उत्तर देने हैं।
  • प्रश्न संख्या 1 और 5 अनिवार्य हैं तथा बाकी प्रश्नों में से प्रत्येक खण्ड से कम-से-कम एक प्रश्न चुनकर तीन प्रश्नों के उत्तर दीजिए।
  • प्रत्येक प्रश्न/भाग के लिए नियत अंक उसके सामने दिए गए हैं।
  • प्रश्नों के उत्तर उसी प्राधिकृत माध्यम में लिखे जाने चाहिए, जिसका उल्लेख आपके प्रवेश-पत्र में किया गया है, और इस माध्यम का स्पष्ट उल्लेख प्रश्न-सह-उत्तर (क्यू॰ सी॰ ए॰) पुस्तिका के मुखपृष्ठ पर निर्दिष्ट स्थान पर किया जाना चाहिए।
  • प्राधिकृत माध्यम के अतिरिक्त अन्य किसी माध्यम में लिखे गए उत्तर पर कोई अंक नहीं मिलेंगे।
  • यदि आवश्यक हो, तो उपयुक्त आँकड़ों का चयन कीजिए, तथा उनको स्पष्टतया निर्दिष्ट कीजिए।
  • जब तक उल्लिखित न हो, संकेत तथा शब्दावली प्रचलित मानक अर्थों में प्रयुक्त हैं।
  • प्रश्नों के उत्तरों की गणना क्रमानुसार की जाएगी।
  • यदि काटा नहीं हो, तो प्रश्न के उत्तर की गणना की जाएगी चाहे वह उत्तर अंशतः दिया गया हो।
  • प्रश्न-सह-उत्तर पुस्तिका में खाली छोड़ा हुआ पृष्ठ या उसके अंश को स्पष्ट रूप से काटा जाना चाहिए।

  • There are EIGHT questions divided in two Sections and printed both in HINDI and in ENGLISH.
  • Candidate has to attempt FIVE questions in all.
  • Question Nos. 1 and 5 are compulsory and out of the remaining, THREE are to be attempted choosing at least ONE question from each Section.
  • The number of marks carried by a question/part is indicated against it.
  • Answers must be written in the medium authorized in the Admission Certificate which must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the space provided.
  • No marks will be given for answers written in a medium other than the authorized one.
  • Assume suitable data, if considered necessary, and indicate the same clearly.
  • Unless and otherwise indicated, symbols and notations carry their usual standard meanings.
  • 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.

Questions (page 2)

Q1.

(a) Civil Services (Main) खण्ड-A / SECTION-A व्याख्या कीजिए कि स्थिति में अनिश्चितता मापक यंत्रों की अनिश्चितता या अयथार्थता से किस प्रकार भिन्न है। ı. Explain how the uncertainty in position is different from the uncertainty or inaccuracy of the measuring instruments. 2 Å चौड़े अनन्त विभव कूप में एक इलेक्ट्रॉन की आद्य अवस्था ऊर्जा निर्धारित कीजिए।

(b) Determine the ground state energy of an electron in an infinite potential well of width of 2 A. \mathrm1F3\mathrm-1D2 संक्रमण के लिए सामान्य ज़ीमान प्रतिरूप आरेखित कीजिए।

(c) Draw the normal Zeeman pattern for {}^{1}F_{3}{}^{-1}D_{2} transition. 10 विशुद्ध घूर्णी अवस्थाओं की स्थिति में, यदि तापमान दोगुना कर दिया जाए, तो अधिकतम समष्टि (पॉपुलेशन)

(d) घनत्व के लिए संबंधित घूर्णी कांटम संख्या की गणना कीजिए। [ मान लीजिए कि तापमान अधिक है ] In case of pure rotational states, if the temperature will be doubled, then calculate the rotational quantum number corresponding to maximum population density. 10 [Assume that temperature is high] एक द्विसंयोजी इलेक्ट्रॉन परमाणु के दो इलेक्ट्रॉनों की कांटम संख्याएँ हैं

(e) n1 = 6, l1 = 3, s1 = 1/2 n2 = 5, l2 = 1, s2 = 1/2 L-S युग्मन मानते हुए L एवं J के संभावित मानों को ज्ञात कीजिए। The quantum numbers of two electrons in a two-valence electron atom are n1 = 6, l1 = 3, s1 = 1/2 n2 = 5, l2 = 1, s2 = 1/2 Assuming L-S coupling, find the possible values of L and J. 10 अवस्थाओं का घनत्व क्या है? विराम द्रव्यमान μ के एक आपेक्षिकीय कण के लिए सिद्ध कीजिए कि चरम

Q1.

(a) Civil Services (Main) खण्ड-A / SECTION-A व्याख्या कीजिए कि स्थिति में अनिश्चितता मापक यंत्रों की अनिश्चितता या अयथार्थता से किस प्रकार भिन्न है। ı. Explain how the uncertainty in position is different from the uncertainty or inaccuracy of the measuring instruments. 2 Å चौड़े अनन्त विभव कूप में एक इलेक्ट्रॉन की आद्य अवस्था ऊर्जा निर्धारित कीजिए।

(b) Determine the ground state energy of an electron in an infinite potential well of width of 2 A. \mathrm1F3\mathrm-1D2 संक्रमण के लिए सामान्य ज़ीमान प्रतिरूप आरेखित कीजिए।

(c) Draw the normal Zeeman pattern for {}^{1}F_{3}{}^{-1}D_{2} transition. 10 विशुद्ध घूर्णी अवस्थाओं की स्थिति में, यदि तापमान दोगुना कर दिया जाए, तो अधिकतम समष्टि (पॉपुलेशन)

(d) घनत्व के लिए संबंधित घूर्णी कांटम संख्या की गणना कीजिए। [ मान लीजिए कि तापमान अधिक है ] In case of pure rotational states, if the temperature will be doubled, then calculate the rotational quantum number corresponding to maximum population density. 10 [Assume that temperature is high] एक द्विसंयोजी इलेक्ट्रॉन परमाणु के दो इलेक्ट्रॉनों की कांटम संख्याएँ हैं

(e) n1 = 6, l1 = 3, s1 = 1/2 n2 = 5, l2 = 1, s2 = 1/2 L-S युग्मन मानते हुए L एवं J के संभावित मानों को ज्ञात कीजिए। The quantum numbers of two electrons in a two-valence electron atom are n1 = 6, l1 = 3, s1 = 1/2 n2 = 5, l2 = 1, s2 = 1/2 Assuming L-S coupling, find the possible values of L and J. 10 अवस्थाओं का घनत्व क्या है? विराम द्रव्यमान μ के एक आपेक्षिकीय कण के लिए सिद्ध कीजिए कि चरम

Q2. 2 Å चौड़े अनन्त विभव कूप में एक इलेक्ट्रॉन की आद्य अवस्था ऊर्जा निर्धारित कीजिए。 (b) Determine the ground state energy of an electron in an infinite potential well of width 2 Å.
(c) Draw the normal Zeeman pattern for 1F3-1D2 transition. (d) In case of pure rotational states, if the temperature will be doubled, then calculate the rotational quantum number corresponding to maximum population density. [Assume that temperature is high] (e) The quantum numbers of two electrons in a two-valence electron atom are n1 = 6, l1 = 3, s1 = 1/2 n2 = 5, l2 = 1, s2 = 1/2 L-S coupling, find the possible values of L and J.

Q2. (a) आपेक्षिकीय सीमा (E \gg μ c2) में अवस्थाओं का घनत्व g.

  • (a) = (V)/(π^2 h3 c3) E2 है, जहाँ g
  • (b) = अवस्थाओं का घनत्व, V = तंत्र का आयतन, जिसमें कण है, E = कुल ऊर्जा, c = प्रकाश की गति एवं h = प्लांक नियतांक। 2 SLPM-B-PHY/13

Q3. 3 (a) 10 अवस्थाओं का घनत्व क्या है? विराम द्रव्यमान μ के एक आपेक्षिकीय कण के लिए सिद्ध कीजिए कि चरम E \gg μ c2 में अवस्थाओं का घनत्व $g.

  • (a) = (V)/(π^2 h3 c3) E2 है, जहाँ g
  • (b) = अवस्थाओं का घनत्व, V = तंत्र का आयतन, जिसमें कण है, E = कुल ऊर्जा, c = प्रकाश की गति एवं h$ = प्लांक नियतांक।

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Frequently asked questions

What is the exam name?

Physics Paper II as part of UPSC Civil Services (Main) Examination, 2025.

What is the time allowed?

Three hours.

What is the maximum marks?

250 marks.

How many questions will I have to answer?

Candidates have to attempt five questions in total; questions 1 and 5 are compulsory, and at least one question from each section must be attempted.

Which questions are compulsory?

Questions 1 and 5 are compulsory.

In which languages is the paper printed?

Hindi and English.

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