What type of questions are included in this paper?

This paper consists of objective questions.

How many questions are there in this paper?

There are 100 objective questions in this paper.

What is the marking scheme for wrong answers?

One mark will be deducted for each wrong answer.

Can I use a calculator or mobile phone during the exam?

No, the possession and use of Calculator, Mobile Phone, Pager or any other electronic gadget is strictly prohibited in the Examination Hall.

Which language version is valid in case of discrepancy?

In case of any discrepancy in the translated version of any Question in Hindi, the English version of the Question will be valid.

What should I use to fill the OMR answer sheet?

You should use only a BLACK BALL POINT PEN for filling the OMR answer sheet and darkening the circle.

JPSC Mathematical Sciences Paper II Question Paper 2021 PDF

Name: JPSC Mathematical Sciences Paper II Question Paper 2021 PDF
Creator: JPSC
Keywords: JPSC Mathematical Sciences Paper II, ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFFICER Question Paper, Mathematical Sciences Previous Year Paper, JPSC Exam Paper, Objective Questions Mathematical Sciences, JPSC Recruitment 2021, Jharkhand PSC Exam, Paper II Mathematical Sciences, Classical Mechanics Questions, Lagrangian Hamiltonian Paper, JPSC Study Material, Mathematical Sciences MCQ, Physics Question Paper, Mathematics Question Paper, Theoretical Physics Exam

Jharkhand Government Jobs Other Jobs

Conducted By JPSC
Questions 100
Maximum Marks 300
Duration 2 Hours
Languages English & Hindi

Exam Details

Detail	Information
Examination	ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFFICER
Conducting Body	JPSC
Paper	MATHEMATICAL SCIENCES PAPER-II
Subject	Mathematical Sciences
Duration	2 Hours
Maximum Marks	300
Number of Questions	100
Question Type	Objective (MCQ)

This document contains the question paper for the Mathematical Sciences Paper II for the JPSC ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFFICER recruitment. The exam is conducted by JPSC and has a maximum of 300 marks, with a time duration of 2 hours. This paper is crucial for candidates aspiring for these positions in Jharkhand. It features objective-type questions designed to test the candidates' knowledge in Mathematical Sciences. Aspirants can use this paper to understand the exam pattern, difficulty level, and important topics covered. Practicing with previous year papers like this one is essential for effective preparation and to increase the chances of success in the competitive examination.

Major Topics Covered

Lagrangian
Hamiltonian
Normal Modes of Vibration
Simple Pendulum
Canonical Equations

Why This Paper is Important

Useful for ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFF 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

JPSC Mathematical Sciences Paper I
JPSC Physics Paper
JPSC Mathematics Paper
UPSC ESE Mechanical Engineering Paper
JPSC Mathematical Sciences Paper II Answer Key 2021
JPSC ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFFICER Syllabus
Mathematical Sciences Syllabus for Competitive Exams
JPSC ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFFICER Exam Pattern

Instructions

Please do not open this Question Booklet until you are told to do so. जब तक आपको कहा न जाए तब तक यह प्रश्न-पुस्तिका न खोलें ।
For filling the OMR answer sheet and darkening the circle use only BLACK BALL POINT PEN. ओ.एम.आर. उत्तर-पत्रक एवं गोला को भरने के लिए केवल काला बॉल पेन इस्तेमाल करें ।
Candidate must fill up the necessary information in the space provided on the OMR answer sheet before commencement of the examination. Please abide by the instructions given on the OMR answer sheet. परीक्षा प्रारंभ होने से पहले जरूरी सूचना दिए गये नियत स्थान पर ओ.एम.आर. (ओप्टिकल मार्क मान्यता) उत्तर-पत्रक में अवश्य भरें।
ओ.एम.आर. उत्तर-पत्रक पर दिए गये निर्देशों का पालन करें ।
OMR answer sheet will be processed by electronic device. Invalidation of OMR answer sheet due to incomplete / incorrect filling of relevant circle of Roll No., Booklet Series and Subject Code in the OMR answer sheet shall result in cancellation of candidature. Any deficiency in filling up OMR answer sheet will be the sole responsibility of the candidate. Please do not write or mark on this OMR answer sheet outside the demarcated areas. It will invalidate your OMR answer sheet. ओ.एम.आर. उत्तर-पत्रक को इलेक्ट्रॉनिक माध्यम से संसाधित किया जाएगा।
अपूर्ण अथवा गलत तरीके से ओ.एम.आर. उत्तर-पत्रक में भरा गया अनुक्रमांक, पुस्तिका श्रेणी तथा विषय कोड अमान्य होगा जिसके आधार पर अभ्यर्थिता रद्द हो जायेगी ।
ओ.एम.आर. उत्तर-पत्रक भरने में किसी भी त्रूटि के लिए अभ्यर्थी ही जिम्मेवार होंगे ।
इस ओ. एम. आर. उत्तर-पत्रक पर उचित स्थान के अतिरिक्त कुछ न लिखें अन्यथा ओ. उत्तर-पत्रक अमान्य कर दिया जाएगा ।
While answering choose the correct alternative from the four choices given below the question and mark the same in corresponding circle in your OMR answer sheet. While marking your answers darken the circle as shown as correct in the example, also few examples of wrong shadowing is given below : प्रश्न में दिए गए चार विकल्पों में से सही उत्तर चुनकर ओ.एम.ऑर. उत्तर-पत्रक में उसी प्रश्न के सम्मुख बने गोलों में उचित स्थान पर अंकित करें।
अपना उत्तर अंकित करने के लिए नीचे सुझाए गए सही तरीके के अनुसार गोला भरें।
कुछ गलत तरीके भी नीचे दर्शाये गये हैं : Correct / सही तरीका (A) (B) (C) Wrong / गलत तरीका (\mathcal{G}) (\mathcal{B}) (\mathcal{D}) (\mathcal{D})
Do not detach any leaf from this Question Booklet. After the examination, hand over the OMR answer sheet to the Room Invigilator. You are allowed to take the Question Booklet and carbon copy of the OMR answer sheet after examination is over. प्रश्न-पुस्तिका से कोई पृष्ठ अलग न करें ।
परीक्षा समाप्त होने पर ओ.एम.आर. उत्तर-पत्रक निरीक्षक महोदय को लौटाना आवश्यक है ।
आप परीक्षा समाप्ति पर मूल प्रश्न पुस्तिका एवं ओ.एम.आर. उत्तर-पत्रक की कार्बन कॉपी अपने साथ ले जा सकते हैं।
This paper has hundred objective questions. Each question carries 3 marks. One mark will be deducted for one wrong answer. इस प्रशॅन पत्र में कुल 100 प्रश्न है।
प्रत्येक प्रश्न के गलत उत्तर के लिए एक अंक काटा जायेगा।
Possession and use of Calculator, Mobile Phone, Pager or any other electronic gadget is strictly prohibited in the Examination Hall. किसी भी प्रकार का गणनयंत्र (कैल्कुलेटर), मोबाइल फोन या अन्य कोई इलेक्ट्रॉनिक मशीन (यंत्र) आदि का प्रयोग परीक्षा कक्ष में पूर्णतः वर्जित है ।
For any discrepancy in the translated version of any Question in Hindi, the English version of the Question will be valid. किसी भी प्रश्न के हिन्दी अनुवाद में किसी प्रकार की विसंगति पाये जाने पर अंग्रेजी भाषा में दिया गया प्रश्न मान्य होगा ।
Please abide by the instructions above and those given on the OMR answer sheet, failure to comply with these instructions will be sole responsibility of the candidates. कृपया ऊपर लिखे और ओ.एम.आर. उत्तर-पत्रक पर दिए गए निर्देशों का पालन करें, निर्देशों की अवहेलना की पूर्ण जिम्मेवारी स्वयं अभ्यर्थी की होगी । TIME I Series - \bigcap 11

Questions (page 2)

Q1. If Lagrangian does not depend on time ı. निर्भर नहीं करता है तो explicitly then the Hamiltonian is constant. the Hamiltonian is constant (A) (A) Hamiltonian can not be constant. (B) Hamiltonian can not be constant (B) the kinetic energy is constant. (C) the kinetic energy is constant (C) the potential energy is constant. (D) the potential energy is constant (D)

Q2. $L = \frac{1}{2}(\dot{x}^2 + \dot{y}^2) - \frac{1}{2} w_0^2 (x^2 + y^2) +$ For a system with Lagrangian

Q2. $L = \frac{1}{2} (\dot{x}^2 + \dot{y}^2) - \frac{1}{2} w_0^2 (x^2 + y^2) +$ α xy; α ≥ 0 उपयुक्त Lagrangian वाले system के α xy; α ≥ 0 normal modes of vibration हों, एतदर्थ w₀ What should be the value of w₀ for its का मान कैसा होना चाहिए ? normal modes of vibration? (A) w₀ = √(α) (A) w₀ = √(α) (B) w₀ < √(α) (B) w_α < √(α) (C) w₀ > √(α) (C) w₀ > √(α) (D) इनमें से कोई नहीं (D) None of these Simple pendulum के लिये दोनों Hamilton's

Q3. Choose both Hamilton's canonical

Q3. Canonical equations को चुनें: equations for the simple pendulum: (A) $\dot{\theta} = -mgl \sin \theta$ , $\dot{p}_{\theta} = \frac{p_{\theta}}{m l^2}$ (A) $\dot{\theta} = -mgl \sin \theta$ , $\dot{p}_{\theta} = \frac{v_{\theta}}{m^{2}}$ (B) $\dot{\theta} = -\frac{\rho_{\theta}}{m l^2}$ , mgl sin $\theta = \dot{p}_{\theta}$ (B) $\dot{\theta} = -\frac{p_{\theta}}{n^2},$ mgl sin $\theta = \dot{p}_{\theta}$ (C) $\dot{\theta} = \frac{p_{\theta}}{m l^2}$ , mgl sin $0 = \dot{p}_{\theta}$ (C) $\dot{\theta} = \frac{p_{\theta}}{m l^2}$ , mgl sin $\theta = \dot{p}_{\theta}$ $\dot{\theta} = \frac{p_{\theta}}{ml^2}$ , mgl sin $\theta = -\dot{p}_{\theta}$ (D) (D) $\dot{\theta} = \frac{p_{\theta}}{m l^2}$ , mg/ sin $\theta = -\dot{p}_{\theta}$ Note : m, l and θ carry usual meaning Note: m, l and θ carry usual meaning Series-C 11 2

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Frequently asked questions

What is the exam name for this question paper?

The exam name is ASSISTANT DIRECTOR/SENIOR SCIENTIFIC OFFICER.

Which paper is this question paper for?

This is for Paper II: Mathematical Sciences.

Who is the conducting body for this exam?

The exam is conducted by JPSC.

What is the maximum marks for this paper?

The maximum marks for this paper are 300.

What is the time allowed for this paper?

The time allowed is 2 Hours.

What is the subject code for this paper?

The subject code is 11.

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