IGNOU BSC PHE 4 Mathematical Methods in Physics-I Solved Assignment English

Looking for the solved assignment for PHE 4Mathematical Methods in Physics-I? Here you can get the complete solved assignment in PDF format for your IGNOU course.

If you are preparing your assignment and need the answers in one place, this solved PDF can help you save time and understand how the questions can be answered. You can read it on your mobile, save it for later, or take a print if required.

BSC 2025 - English

Before you order: Please check the course code, subject code, year and session with your assignment before purchasing.

PHE 4: Mathematical Methods in Physics-I

High Demand Verified Solution

★★★★★ 5/5 (10 Students)

₹80 ₹30

63% OFF You Save: ₹50

Language

Type

Choose Your Assignment (latest Selected) Check Question Included See Included Question

Title Name	IGNOU BSC PHE 4 Mathematical Methods in Physics-I Solved Assignment English
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BSC
Course Name	Bachelor in Science
Subject Code	PHE 4
Subject Name	Mathematical Methods in Physics-I
Year	2025
Session	-
Language	English
Assignment Code	PHE 4/Assignment-1/2025
Product Description	Assignment of BSC (Bachelor in Science) 2025. Latest PHE 04 2025 Solved Assignment Solutions
Format	Ready-to-Print PDF (.soft copy)

Need Help With This Assignment?

Looking for the solved assignment for this subject? You can get the complete solved PDF and use it while preparing your assignment.

✓ Complete Solved Assignment — Questions with their answers in one PDF.

✓ Save Your Time — No need to search different websites for every question.

✓ Easy to Read — Keep the PDF on your phone or take a print when required.

✓ Get It Online — Download your assignment after successful payment.

✓ Useful for Preparation — Read the answers and prepare your assignment with less hassle.

Just check once before buying: Make sure the Course Code, Subject Code, Year and Session shown above match your assignment.

📋 Assignment Content Preview

Please make sure your assignment questions match your current IGNOU session

PHE 4 2025 - English

Tutor Marked Assignment

MATHEMATICAL METHODS IN PHYSICS-I

Course Code: BPHE-104/ PHE-04

Assignment Code: BPHE-104/PHE-04/TMA/2025

Max. Marks: 100

Note: Attempt all questions. Symbols have their usual meanings. The marks for each question are indicated against it.

1. a) Obtain a unit vector perpendicular to the plane of the vectors

$vec{A}=3hat{i}-4hat{j}+2k$ and $vec{B}=hat{i}+3hat{k}$

b) For any four vectors $vec{a},vec{b},vec{c}$ and $vec{d}$ determine:

$left(vec{a}xvec{b} ight).left(vec{c}xvec{d} ight)+left(vec{b}xvec{c} ight).left(vec{a}xvec{d} ight).+left(vec{c}xvec{a} ight).left(vec{b}xvec{d} ight).$

2. a) Obtain a unit tangent vector to any point on the curve defined by the parameteric equations:

x = sin 3t; y = 2 cos 3t;z = 4t.

b) Obtain the directional derivative for a scalar field $phi(x,y,z)=3x^{2}y-y^{3}z^{2}$ at the point (1,-2,-1) in the direction $hat{i}+hat{j}+hat{k}$ .

3. a) Evaluate $ar{ riangledown}x(r^{3}vec{r})$ .

b) Show that for any scalar field $phi$ :

$vec{ riangledown}x(phivec{ riangledownphi})=0$ .

4. Obtain the divergence and curl of the following vector field:

$vec{A}=(p^{3}hat{e}_{p}+pzhat{e}_{phi}+pzsinphihat{e}_{z})$

5. Calculate the work done by a force $vec{F}=(x=y)hat{i}+xyhat{j}$ in moving a particle counter clockwise along the circle x²+y²=4 from the point (2, 0) to the point (0, -2).

6. Using the divergence theorem evaluate $iint_{S}^{}vec{F}.dvec{S}$ where $vec{F}=y^{2}zhat{i}+y^{3}hat{j}+xzhat{k}$ and S is the surface of the cube defined by $-1leq xleq 1;-1leq yleq 1;0leq zleq 2.$

7. a) Calculate the divergence of the vector function $vec{F}=r^{2}sinThetahat{e}_{r}$

b) Using Green’s Theorem evaluate the integral $oint _{C}(y^{3}dx-x^{3}dy)$ where C is a circle of radius 3 units centered at the origin.

8. a) The construction of a building may be delayed by a strike. Suppose that the probability that there will be a strike is 0.70, the probability that the construction

will be completed on time if there is no strike is 0.90 and the probability that the building will be completed on time if there is a strike is 0.40, what is the probability that the construction will be completed on time.

b) A random variable X has the following probability distribution:

Image ignouacademy-com-ignou-phe-4-solved-assignment-html-p-solved-59485

Determine the value of the constant k and E(X).

9. a) An athlete is running in four races and in each race she has a 60% chance of winning. What is the probability that she will win at least two races?

b) A website has on the average two hits per hour. Assuming a Poisson distribution for the number of hits per hour (X), calculate the probability that there are at most three hits.

10. The modulus of rigidity of a wire is

$pi=frac{2LN}{pi r^{4}Theta}$

The following measurements are made for L, r and  / N

r = 1.5 $underline{+}$ 0.05 mm

L = 400 $underline{+}$ 2 mm

$frac{Theta}{N}$ = 6.00 $underline{+}$ 0.20 rad N^-1 m^-1

Obtain the best value of $eta$ .

PHE 4 2025 - Hindi

अध्यापक जांच सत्रीय कार्य भौतिकी में गणितीय विधियाँ-I

पाठ्यक्रम कोड: BPHE-104/PHE-04

सत्रीय कार्य कोड: BPHE-104/PHE-04/TMA./2025

अधिकतम अंक: 100

नोट: सभी प्रश्न हल करें। प्रतीकों के अपने सामान्य अर्थ हैं। प्रत्येक प्रश्न के अंक उसके सामने दिए गए हैं।

1. (क) सदिश $vec{A}=3hat{i}-4hat{j}+2hat{k}$ और $vec{B}=hat{i}+3hat{k}$ से बने समतल के लंबवत् एकक सदिश प्राप्त करें।

ख) किन्हीं चार सदिशों $vec{a},vec{b},vec{c}$ और $vec{d}$ के लिए

$(vec{a} imesvec{b})(vec{c} imesvec{d})+(vec{b} imesvec{c})(vec{a} imesvec{d})+(vec{c} imesvec{a})(vec{b} imesvec{d})$

का मान निर्धारित करें।

2.क) निम्नलिखित प्राचलिक गुणांकों द्वारा परिभाषित वक्र के किसी भी बिंदु पर एक स्पर्श रेखा सदिश प्राप्त करें :

$x=sin 3t;quad y=2cos 3t;quad z=4t$

ख) अदिश क्षेत्र $Phi(x,y,z)=3x^2y-y^3z^2$ के लिए बिंदु (1,-2,-1) पर $hat{i}+hat{j}+hat{k}$ की दिशा में दिक्-अवकलज प्राप्त करें।

3. क) $vec{ abla}cdot(r^3vec{r})$ का मान प्राप्त करें।

ख) सिद्ध करें कि किसी भी अदिश क्षेत्र $phi$ के लिए:

$vec{ abla} imes(Phivec{ abla}Phi)=0$ होता है।

4. निम्नलिखित सदिश क्षेत्र का डाइवर्जेन्स और कर्ल प्राप्त करेंः

$vec{A}=( ho zhat{e}_{ ho}+ ho^{2}hat{e}_{phi}+ ho zsinphihat{e}_{z})$

5. बल $vec{F}=(x-y)hat{i}+xyhat{j}$ द्वारा एक कण को वृत्त x² + y² = 4 के अनुदिश वामावर्त दिशा में बिंदू (2,0) से बिंदु (0,-2) तक ले जाने में किया गया कार्य परिकलित करें।

6. डाइवर्जेन्स प्रमेय का प्रयोग करते हुए $iint_{S}vec{F}cdot dvec{S}$ का मान निर्धारित करें, जहाँ $vec{F}=y^{2}zhat{i}+y^{3}hat{j}+xzhat{k}$ और $, -1≤x≤1;-1≤ y ≤1;0 ≤ z 2 द्वारा परिभाषित एक घन का पृष्ठ है।

क) सदिश फलन $vec{F}=r^{2}sin hetahat{e}_{r}$ का डाइवर्जेन्स परिकलित करें।

7.ख) ग्रीन प्रमेय का प्रयोग करते हुए समाकल $oint_{C}(y^{3}dx-x^{3}dy)$ का मान प्राप्त करें जहां C एक वृत्त है जिसका केंद्र मूल बिंदु पर है और त्रिज्या 3 इकाई है।

8.क) एक इमारत के निर्माण के काम में हड़ताल की वजह से देरी हो सकती है। यदि हड़ताल होने की प्रायिकता 0.70 है, हड़ताल न होने पर निर्माण का काम समय पर समाप्त होने की प्रायिकता 0.90 है और हड़ताल होने पर इमारत का समय पर बन जाने की प्रायिकता 0.40 है, तो इमारत के समय पर बनने की प्रायिकता क्या होगी ?

ख) एक यादृच्छिक चर X का प्रायिकता बंटन निम्नलिखित है:

$f(x)=egin{cases}kx(1-x)&0<x<1\0&end{cases}$

के लिए अन्यथा k और E(X) का मान प्राप्त करें।

9. क) एक एथलीट चार दौड़ों में भाग ले रही है और प्रत्येक दौड़ में इसके जीतने की संभावना 60% है। इसके कम से कम दो दौड़ों में जीतने की प्रायिकता क्या होगी?

ख) एक वेबसाइट में प्रति घंटे औसतन दो हिट होते हैं। यदि प्रति घंटे हिटों की संख्या (X) एक प्वांसों बंटन को आसंजित करती हो तो एक घंटे में अधिकतम तीन हिट होने की प्रायिकता क्या होगी ?

10. एक तार का दृढ़ता गुणांक

$eta=frac{2LN}{pi r^4 heta}$

है और L, r और $heta$ /N के मान निम्नलिखित है :

r = 1.5 ± 0.05 mm

L = 400±2 mm

$frac{ heta}{N}=6.00pm 0.20$ rad N^-¹ m^-¹

$eta$ का श्रेष्ठतम मान परिकलित करें।

❓ Frequently Asked Questions (FAQs)

Q: How will I receive the PDF?
A: Immediately after payment, the download link will appear.

Q: Is this hand-written or typed?
A: This is a professional typed computer PDF. You can use it as a reference for your handwritten submission.

➕Other Details

IGNOU PHE 4 Solved Assignment 2025 – Prepare Smarter, Save Valuable Time

Searching for the 2025 IGNOU PHE 4 Solved Assignment? Get a ready-to-use reference for PHE 4 - Mathematical Methods in Physics-I and make your assignment preparation simpler, faster and more organised. Our carefully prepared PHE 4 Mathematical Methods in Physics-I Solved Assignment is designed to help you understand the questions, study the important points and prepare your assignment answers with greater confidence.

Why spend hours searching through different sources when you can have your PHE 4 solved assignment reference available in one convenient resource? Whether you are studying after work, preparing several IGNOU subjects together or simply want a dependable reference, this material can save you valuable preparation time.

PHE 4 2025 Solved Assignment – What You Get

Latest 2025 assignment reference for PHE 4 Mathematical Methods in Physics-I
Question-wise answers arranged for easy study and reference
Clear and student-friendly presentation for easier understanding
English language version available
Digital soft copy / PDF for convenient access
Useful reference material for preparing your own assignment answers
Helps you identify important points, answer structure and relevant content

Stop Struggling With Every Question. Start Preparing With a Better Reference.

Assignment preparation can become time-consuming when you have multiple subjects, limited study hours and a long list of questions to complete. A good reference can help you move from “What should I write?” to “Now I understand how to prepare this answer.”

The IGNOU PHE 4 Solved Assignment 2025 gives you a convenient study reference so you can review the questions, understand the expected subject matter and organise your own answers more efficiently.

Study less randomly. Prepare more systematically. Keep the reference with you while working on your assignment and use it whenever you need help understanding a question or arranging the important points.

Get Your PHE 4 Mathematical Methods in Physics-I Solved Assignment 2025

Course: Bachelor in Science (BSC)
Subject: PHE 4 - Mathematical Methods in Physics-I
Session: January 2025 - December 2025
Language: English

Need the Help Book / Solved Assignment?
Call us: 9199852182 / 9852900088
WhatsApp: 9199852182

Your Time Matters – Make Assignment Preparation Easier

If you are balancing IGNOU studies, work, family responsibilities or other subjects, every hour of study matters. Having a structured reference beside you can make it easier to understand the assignment and focus your time on preparing your own submission.

Instead of repeatedly searching for answers across different websites and sources, keep your PHE 4 Mathematical Methods in Physics-I Solved Assignment 2025 ready for reference whenever you study.

A Useful Reference for Your IGNOU Assignment Preparation

Understand the question → Find the relevant points → Study the answer → Prepare your own assignment with confidence.

IGNOU BSC Assignments 2025

The BSC (Bachelor in Science) programme includes assignment work as part of the academic requirements applicable to students. Students should always verify the latest assignment questions, instructions and submission requirements from the official IGNOU website.

Our PHE 4 Solved Assignment is independently prepared reference material intended to assist students with understanding and preparing their answers. It is not an official IGNOU publication.

Why Keep a Solved Assignment Reference?

A useful reference is more than simply a collection of answers. It can help you see how a question can be approached, what important points need attention and how the subject matter can be organised into a clear answer.

Save preparation time with organised reference material
Understand difficult questions more easily
Review important concepts before writing your answers
Improve answer organisation with a structured reference
Study conveniently whenever and wherever you need it

Product Information

Course Name	Bachelor in Science
Course Code	BSC
Subject Code	PHE 4
Subject	Mathematical Methods in Physics-I
Programme	BACHELOR DEGREE PROGRAMMES Courses
Language	English
Material Type	Solved Assignment – Soft Copy / PDF

Ready to Make Your PHE 4 Assignment Preparation Easier?

Get the 2025 PHE 4 Mathematical Methods in Physics-I Solved Assignment as a convenient reference for your assignment preparation.

Call: 9199852182 / 9852900088
WhatsApp: 9199852182

IGNOU PHE 4 2025 Solved Assignment
Get your reference copy and start preparing with confidence.

Important Note for IGNOU Students

Always check the latest assignment questions and submission instructions on the official IGNOU website before preparing and submitting your assignment. Use this solved assignment as a study and reference resource and prepare your own submission according to the applicable IGNOU requirements.

Why Choose IGNOU Academy for Your Assignments?

Getting your assignments right is an important part of your IGNOU academic journey.IGNOU Academy provides carefully prepared reference materials designed to makeassignment preparation simpler, clearer and more convenient for students.

Latest Curriculum: Materials are prepared with the current IGNOU syllabus and assignment requirements in mind.
Proper Assignment Format: Understand the structure, presentation and answer style generally expected in an IGNOU assignment.
Simple Explanations: Difficult topics are explained in clear and easy-to-understand language.
Exam Preparation: Assignment material can also be useful for revising important concepts before the Term-End Examination.
Student-Friendly Language: Clear English/Hindi content helps students understand topics without unnecessary complexity.
Trusted by IGNOU Learners: Students across India use IGNOU Academy as a convenient source of assignment and study-reference material.

These materials are provided as reference study guides. Students should understandthe concepts, follow IGNOU guidelines and prepare their own original assignmentswhere required.

How to Get Your Solved Assignment PDF

Visit IGNOU Academy:Go to www.ignouacademy.com.
Find Your Course:Search for your programme, course code and subject.
Select the Session:Choose the latest available reference material for your academic session.
Complete Your Order:Add the required material to your cart, log in or register, and complete the payment.
Access Your Material:After successful payment, access your purchased study material from your account.

Step-by-Step: Finding IGNOU Assignment Question Papers

Open the Website:Visit www.ignouacademy.com.
Open Assignment Question Papers:Select the relevant IGNOU assignment question paper section.
Filter Your Requirement:Select your course, session and medium such as English or Hindi.
Open the Paper:View or download the required question paper for your preparation.

How to Submit Your IGNOU Assignments

Prepare Neatly:Use the format and submission instructions applicable to your programme and study centre.
Complete the Front Page:Enter your Name, Enrollment Number, Programme/Course Code, Subject and Study Centre details correctly.
Offline Submission:If your study centre requires physical submission, submit the assignment as instructed and retain the acknowledgement.
Online Submission:Where online submission is permitted, follow the instructions issued by your Regional Centre or Study Centre. Keep proof of submission for your records.

Tracking Your Assignment Submission Status

After submitting your assignments, students can check whether their assignmentmarks and submission details have been updated through the applicable official IGNOU system.

Open the Official IGNOU Student Area:Visit the official IGNOU website and access the relevant student services.
Find Assignment Status:Open the assignment-status service applicable to your programme.
Enter Your Details:Provide your Enrollment Number and other requested programme details.
Check the Status:Review the available submission, evaluation and marks information.

A Quick Tip for IGNOU Students

Assignments are an important part of the IGNOU evaluation process. Preparing themcarefully, understanding the questions, following the prescribed format and submittingthem within the applicable deadline can help you stay on track academically.

Smart Study + Proper Preparation + Timely Submission = Better Academic Planning

Need Help? Contact IGNOU Academy WhatsApp: +91 9199852182 | Website: www.ignouacademy.com

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers