IGNOU BSCG BPHET 141 Elements of Modern Physics Solved Assignment ENGLISH
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BPHET 141: Elements of Modern Physics
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| Title Name | IGNOU BSCG BPHET 141 Elements of Modern Physics Solved Assignment ENGLISH |
|---|---|
| Type | Soft Copy (E-Assignment) .pdf |
| University | IGNOU |
| Degree | BACHELOR DEGREE PROGRAMMES |
| Course Code | BSCG |
| Course Name | Bachelor of Science |
| Subject Code | BPHET 141 |
| Subject Name | Elements of Modern Physics |
| Year | 2026 |
| Session | - |
| Language | ENGLISH |
| Assignment Code | BPHET 141/Assignment-1/2026 |
| Product Description | Assignment of BSCG (Bachelor of Science) 2026. Latest BPHET 141 2026 Solved Assignment Solutions |
| Format | Ready-to-Print PDF (.soft copy) |
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BPHET 141 (January 2026 - July 2026) - ENGLISH
Tutor Marked Assignment
ELEMENTS OF MODERN PHYSICS
Course Code: BPHET-141
Assignment Code: BPHET-141//TMA/2026
Max. Marks: 100
Note: Attempt all questions. The marks for each question are indicated against it.
PART A
1. a) A rod has a proper length of . An observer measures its length as
. Calculate the speed of the rod.
b) A spaceship approachin Earth at a speed c/2, shoots a canister at a speed of 0.80c. Calculate the velocity of the canister for an observer on Earth if (i) the canister if it is shot directly toward Earth and (ii) if it is shot directly away from Earth.
c) A star emits light of wavelength and recedes from Earth at speed 0.50c. Calculate the observed wavelength.
d) A particle moves with speed 0.8c. Calculate its momentum, kinetic energy and total energy.
e) An electric field of is applied along the direction of motion of an electron moving with a speed of 0.6c. Calculate the acceleration of the electron.
2. a) In a photoelectric effect experiment, it is seen that when light of wavelength is incident on a metal, the measured photoelectric current drops to zero at a potential
. Calculate the work function of the metal and its cut-off frequency for photoelectric effect.
b) Electrons are accelerated through and incident on a crystal with interatomic spacing
. Calculate the de Broglie wavelength and the first-order Bragg diffraction angle.
c) The average decay life time of an elementary particle is . Calculate the minimum uncertainty in the measurement of its energy. Also, calculate the minimum uncertainty in the measurement of its mass using the mass-energy equivalence.
d) The normalized wave function for a particle is given by$
Determine
i) the value of x at which the probability density function is maximum, and
iii) the probability of finding the particle between and
.
PART B
3. a) The eigenfunction of a particle confined in a box of length L () is
$
i) Show that is not an eigenfunction of the momentum operator.
ii) Calculate the expectation value of the kinetic energy.
b) Calculate the probability current density of the incident and reflected waves for the quantum mechanical particle incident on a step potential$
when E < V0.
c) Explain whether the eigen functions of the following Hamiltonian for a particle of mass m will have a definite parity: .
d) An electron with a energy of 8.0 eV strikes a potential barrier of energy 12.0 eV. If the tunnelling probability is 4.0 percent, determine the width of the barrier.
4. a) The half-life of is known to be 5730 years. Calculate the decay constant (in
). Also, calculate the rate of disintegration for 1 g of
.
b) Calculate the kinetic energy of the alpha particle emitted in the alpha decay of the Radium isotope (
). It is given that
,
and
.
c) From the semi-empirical mass formula, calculate the value of the atomic number (Z) for the most stable nucleus at a given mass number A. Calculate Z0 for .
d) Two tritium () nuclei fuse to release 11.3 MeV energy. Calculate the total energy released in the fusion of 1 kg tritium.
BPHET 141 (January 2026 - July 2026) - HINDI
अध्यापक जांच सत्रीय कार्य
आधुनिक भौतिकी के तत्व
पाठ्यक्रम कोड : BPHET-141
सत्रीय कार्य कोड : BPHET-141/TMA/2026
अधिकतम अंक : 100
नोट : सभी प्रश्न हल करें। प्रत्येक प्रश्न के अंक उसके सामने दिए गए हैं।
भाग क
1. क) एक छड़ की उचित लंबाई 2.0 m है। एक प्रेक्षक इसकी लंबाई 1.6 m मापता है। छड़ की चाल ज्ञात करें।
ख) एक अंतरिक्ष यान c/2 की चाल से पृथ्वी की ओर गतिमान है और यह एक कनस्तर को प्रक्षेपित करता है जो 0.8c की चाल से गतिमान है। पृथ्वी पर स्थित प्रेक्षक के लिए कनस्तर की चाल ज्ञात करें यदि (i) कनस्तर को सीधे पृथ्वी की ओर प्रक्षेपित किया जाता है और (ii) यदि इसे सीधे पृथ्वी से दूर प्रक्षेपित किया जाता है।
ग) एक तारा तरंगदैर्ध्य का प्रकाश उत्सर्जित करता है और 0.50c की चाल से पृथ्वी से दूर जा रहा है। प्रेक्षित तरंगदैर्ध्य ज्ञात करें।
घ) एक कण 0.8c की चाल से गतिमान है। इसके संवेग, गतिज ऊर्जा और कुल ऊर्जा की गणना करें।
इ) 0.6c की चाल से गतिमान एक इलेक्ट्रॉन की गति की दिशा में का विद्युत क्षेत्र लगाया जाता है। इलेक्ट्रॉन के त्वरण की गणना करें।
2. क) प्रकाश विद्युत प्रभाव के एक प्रयोग में यह देखा गया कि जब तरंगदैर्ध्य का प्रकाश किसी धातु पर आपतित होता है, तो मापी गई प्रकाश विद्युत धारा,
के विभव पर शून्य हो जाता है। धातु का कार्य-फलन और प्रकाश विद्युत प्रभाव के लिए उसकी अंतक आवृत्ति ज्ञात करें।
ख) इलेक्ट्रॉनों को से त्वरित किया जाता है और वे
के अंतरपरमाण्विक अंतराल वाले क्रिस्टल पर आपतित होते हैं। दे ब्रॉग्ली तरंगदैर्ध्य और प्रथम कोटि का ब्रैग विवर्तन कोण ज्ञात करें।
ग) एक मूल कण का औसत क्षय जीवनकाल है। इसकी ऊर्जा के मापन में न्यूनतम अनिश्चितता की गणना करें। इसके अलावा, द्रव्यमान- ऊर्जा तुल्यता का प्रयोग करके इसके द्रव्यमान के मापन में न्यूनतम अनिश्चितता की गणना करें।
घ) किसी कण का प्रसामान्यीकृत तरंग फलन निम्नलिखित है$
निर्धारित करें
i) x का वह मान जिस पर प्रायिकता घनत्व फलन अधिकतम हो, और
ii) कण के और
के बीच पाए जाने की प्रायिकता।
भाग ख
3. क) L लंबाई के बक्से में परिबद्ध (0 < x < L) किसी कण का आइगेन फलन निम्नलिखित है :$
i) दिखाइए कि संवेग संकरक का आइगेनफलन नहीं है।
ii) गतिज ऊर्जा का प्रत्याशा मान ज्ञात करें ।
ख) एक क्वांटम यांत्रिकी कण निम्नलिखित सोपान विभव पर आपतित होता है$
कण के आपतित और परावर्तित तरंगों के लिए प्रायिकता धारा घनत्व की गणना करें जब E < V0 ।
ग) व्याख्या करें कि क्या द्रव्यमान m के कण के लिए निम्नलिखित हैमिल्टोनियन के आइगेन फलनों की एक निश्चित पैरिटी होगी :
घ) ऊर्जा का एक इलेक्ट्रॉन
ऊर्जा के एक विभव रोधिका से टकराता है। यदि सुरंगन प्रायिकता 4.0 प्रतिशत हो तो रोधिका की चौड़ाई का परिकलन करें। (5)
4. क) की अर्ध-आयु 5730 वर्ष होती है। होती है। (
मात्रक में) इसका अपघटन नियतांक ज्ञात करें ।
से प्रति सेकेंड होने वाले अपघटनों की दर का भी परिकलन करें ।
ख) रेडियम के समस्थानिक के अल्फा क्षय
में उत्सर्जित अल्फा कण की गतिज ऊर्जा का परिकलन करें । दिया है :
,
और
।
ग) अर्ध-अनुभवजन्य द्रव्यमान सूत्र का उपयोग करके सर्वाधिक स्थायी नाभिक के लिए परमाणु क्रमांक (atomic number) (Z) का परिकलन कीजिए जिसकी द्रव्यमान संख्या A दी गई हो। के लिए Z0 का परिकलन करें ।
घ) दो ट्राइटियम नाभिकों के संलयन से
ऊर्जा विमुक्त होती है । 1 किलोग्राम ट्रिटियम के संलयन में उत्पन्न कुल ऊर्जा का परिकलन करें ।
BPHET 141 2025 - English
Tutor Marked Assignment ELEMENTS OF MODERN PHYSICS
Course Code: BPHET-141
Assignment Code: BPHET-141//TMA/2025
Max. Marks: 100
Note: Attempt all questions. The marks for each question are indicated against it.
PART A
1. a) A spacecraft A has a speed 0.80c with respect to the Earth. If the speed of another spacecraft B with respect to spacecraft A is 0.50c, what is the speed of B with respect to the Earth
b) A particle is travelling through the Earth's atmosphere at a speed of 0.6c. To an Earth-bound observer, the distance it travels is 4.0 km. How far does the particle travel in its own frame of reference?
c) A particle of rest mass 2.0 kg has an initial speed of 2x108ms-1. A constant relativistic force of magnitude 1.5x106 N is exerted on the particle in the same direction as the initial relativistic momentum for 1000 s. Calculate the magnitudes of the initial and final relativistic linear momentum and its final speed.
d) A star emits light with wavelength 420 nm. An observer on earth measures the wavelength of the light received from the star to be 600 nm. Calculate the speed with which the star is moving.
2. a) Determine the wavelengths of the photons scattered at (i) 60° and (ii) 90° when X- rays of wavelength 4.5 pm are scattered from a target.
b) Calculate the de Broglie wavelength of a 87Rb atom that has been laser cooled to 200 µK. (Assume that the kinetic energy is 3/2kBT).
c) Using Heisenberg's Uncertainty Principle explain whether a particle trapped inside a one dimensional box of finite length can be at rest.
d) The quantum mechanical wave function for a particle is given by
Determine (i) the normalization constant N and(ii) the most probable position of the particle.
PART B
3. a) The eigenfunction of a particle confined in a box of length L ( 0 x
L ) is
Calculate and the probability of finding the particle between x = 0 and x = L / 4 .
b) A particle encounters a step potential of height . V0 What is the reflection and transmission coefficient if E = 1.5V0 ? Show that R + T = 1.
c) Show that, for a symmetric potential function (V(x) = V(-x)), the parity operator commutes with the Hamiltonian. What is the parity of the of the following eigenfunctions of a symmetric potential well of width 2a: (i) and (ii)
4. a) The half life of 51Cr is 27.70 days. After how many days will only 10% of the element be left over?
b) Establish the relation for binding energy per nucleon for nuclei. Calculate the value of binding energy per nucleon for
Given:
Mass of Ni : 63.9280 u
Mass of proton : 1.007825 u
Mass of neutron : 1.008665 u
Is this nucleus stable?
c) A piece of wood from the ruins of an ancient dwelling was found to have a 14C activity of 14 disintegrations per minute per gram of its carbon content. The 14C activity of living wood is 16 disintegrations per minute per gram. How long ago did the tree die from which the wood sample came? Take half-life of radiocarbon as 5760 years.
d) Calculate Q-Value of the reaction:
Take
u and
BPHET 141 2025 - Hindi
अध्यापक जांच सत्रीय कार्य
आधुनिक भौतिकी के तत्व
पाठ्यक्रम कोड: BPHET-141
सत्रीय कार्य कोड: BPHET-141/TMA/2025
अधिकतम अंक : 100
नोट: सभी प्रश्न हल करें। प्रत्येक प्रश्न के अंक उसके सामने दिए गए हैं।
भाग क
1. क) पृथ्वी के सापेक्ष एक अंतरिक्ष यान A की चाल 0.80c है। यदि एक अंतरिक्ष यान B, अंतरिक्ष यान A के सापेक्ष चाल 0.50c से गतिमान हो, तो पृथ्वी के सापेक्ष अंतरिक्ष यान B की चाल क्या होगी?
ख) एक कण पृथ्वी के वायुमंडल में 0.6c की चाल से चल रहा है। पृथ्वी पर स्थित प्रेक्षक उसके द्वारा चली गई दूरी का मान 4.0 km मापता है। अपने निर्देश तंत्र में कण द्वारा चली गई दूरी क्या है?
ग) विराम द्रव्यमान 2.0 kg वाले कण की आरंभिक चाल 2.0×108 ms-¹ है। परिमाण 1.5×106N का एक अचर आपेक्षिकीय बल उस कण पर उसके आरंभिक रैखिक संवेग की दिशा में 1000 s तक लगाया जाता है। कण के आंरभिक और अंतिम आपेक्षिकीय रैखिक संवेग का परिमाण और अंतिम चाल परिकलित करें।
2. क) किसी लक्ष्य पर आपतित 4.5 pm तरंग दैर्ध्य वाली X-किरणें प्रकीर्ण होती हैं। (i) 60° और (ii) 90° पर प्रकीर्ण फोटॉनों का तरंग दैर्ध्य परिकलित करें।
ख) लेज़र द्वारा 200 µK के तापमान तक शीतलित किये गये 87Rb परमाणु की दे ब्रॉग्ली तरंगदैर्ध्य परिकलित करें। (गतिज ऊर्जा मान लें।)
ग) हाइज़ेनबर्ग अनिश्चितता सिद्धांत के आधार पर समझाए कि क्या एक कण, जो एक परिमित लंबाई वाले एक-विम बक्स में परिरूद्ध है, विरामस्थ हो सकता है?
घ) एक कण का क्वांटम यांत्रिकीय तरंग फलन है:
इसके लिए (i) प्रसामान्यीकरण नियतांक N और (ii) कण की वह स्थिति जहां उसके पाये जाने की प्रायिकता सबसे अधिक हो, निर्धारित करें।
भाग ख
3. क) L लंबाई के बक्से में परिबद्ध (0<x<L) किसी कण का आइगेन फलन निम्नलिखित है :
का मान और कण के x = x = 0 और x = L/4 के बीच पाये जाने की प्रायिकता का परिकलन करें।
ख) कोई कण V0 ऊँचाई के एक सोपान विभव का सामना करता है। यदि E = 1.5V0, हो, तो परावर्तन एवं संचरण गुणांकों के मान क्या है? सिद्ध करें कि R+T=1 |
ग) सिद्ध करें कि किसी सममित विभव फलन (V(x) = V (-x)) के लिए पैरिटी संकारक हैमिल्टोनियन के साथ कम्यूट (commute) करता है। 2a चौड़ाई वाले सममित विभव कूप के निम्नलिखित तरंगफलनों की पैरिटी बताएं : (i) और (ii)
|
4. क) 51 Cr की अर्ध. आयु 27.70 दिन है। कितने दिनों के बाद इस तत्त्व का केवल 10% बचेगा?
ख) नाभिक के लिए प्रति न्यूक्लिऑन बंधन ऊर्जा का संबंध स्थापित करें। Ni न्यूक्लिऑन बंधन ऊर्जा परिकलित करें। दिया है:
के लिए प्रति
Ni का द्रव्यमान : 63.9280 u
प्रोट्रान का द्रव्यमान: 1.007825 u
न्यूट्रान का द्रव्यमान : 1.008665 u
क्या यह नाभिक स्थायी है?
ग) किसी प्राचीन बस्ती के खंडहरों से प्राप्त लकड़ी के एक टुकड़े में 14C सक्रियता प्रति ग्राम कार्बन की मात्रा के लिए 14 विघटन प्रति मिनट पाई गई। जीवित काष्ठ में 14Cसक्रियता 16 विघटन प्रति मिनट प्रति ग्राम होती है। जिस वृक्ष का अंश यह लकड़ी का टुकड़ा था उसकी मृत्यु कितने समय पूर्व हुई थी? रेडियोकार्बन की अर्ध-आयु 5760 वर्ष लीजिए।
घ) निम्नलिखित प्रतिक्रिया में प्रतिक्रिया की ऊर्जा (Q-मान) की गणना करें:
और
लें।
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IGNOU BSCG Assignments 2026
The BSCG (Bachelor of 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 BPHET 141 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 of Science |
| Course Code | BSCG |
| Subject Code | BPHET 141 |
| Subject | Elements of Modern Physics |
| Programme | BACHELOR DEGREE PROGRAMMES Courses |
| Language | ENGLISH |
| Material Type | Solved Assignment – Soft Copy / PDF |
Ready to Make Your BPHET 141 Assignment Preparation Easier?
Get the 2026 BPHET 141 Elements of Modern Physics Solved Assignment as a convenient reference for your assignment preparation.
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IGNOU BPHET 141 2026 Solved Assignment
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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.
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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