Prepare for JEE Main with SpeedLabs
The Joint Entrance Examination (JEE Main) comprises of two papers. The Paper 1 is conducted for admission to Undergraduate Engineering Programs (B.E/B. Tech) at NITs, IIITs, other Centrally Funded Technical Institutions (CFTIs), Institutions/Universities funded/recognized by participating State Governments, as well as an eligibility test for JEE (Advanced), which is conducted for admission to IITs. Candidates of UPSEE (2022) will take JEE (Main) 2022. The Paper 2 is conducted for admission to B. Arch and B. Planning courses in the Country. From last year, Dr. APJ Abdul Kalam Technical University (AKTU), Lucknow also uses the score sheet of JEE (Main) for admission to the B.Tech / M.Tech (Integrated)/B.Arch. Courses in its affiliated colleges across the State. The JEE (Main) 2022 will be conducted in multiple sessions for admissions in the next academic session.The candidates will thus benefit in the following ways:
- This will give multiple opportunities to the candidates to improve their scores in the examination if they are not able to give their best in one attempt.
- In first attempt, the students will get a first-hand experience of taking an examination and will know their mistakes which they can improve while attempting for the next time.
- This will reduce the chances of dropping a year and droppers would not have to waste a full year.
- If anyone missed the examination due to reasons beyond control (such as Board examination), then he/she will not have to wait for one full year.
- A candidate need not appear in all the four Sessions. However, if candidate appears in more than one Session then his/her best of the 2022 NTA Scores will be considered for preparation of Merit List/ Ranking.
To be released soon !!
JEE Main Overview
|Name of Exam||JEE Main|
|Exam Duration||3 Hours|
|Total Marks||360 Marks|
|Total Sessions in 2022||Four Sessions|
|Exam Medium||13 Languages|
|Examination Category||Undergraduate (UG) Level|
|Exam Conducting Authority||NTA (National Testing Agency)|
|Purpose||Admissions to 31 NITs, 23 IIITs and 20 GFTIs|
|Mode of Examination||
|Test Centres||All Examination Centres in India|
|JEE Main Official Website||jeemain.nic.in and nta.ac.in|
JEE MainJEE Main will consist of three papers. Paper 1 will be for students who are planning to take B.Tech courses, whereas Paper 2A will be B. Arch programs and Paper 2B will be for B.Planning courses. NTA has introduced the new exam pattern since 2021. Meanwhile, the registration and application process for the February session will be starting on December. Since 2021, JEE Main (Paper 1) is conducted in four sessions namely February, March, April and May sessions. However, B. Arch and B. Planning papers (papers 2A and 2B) will be held only twice a year in the months of February and May 2022. Further details are provided below. Students appearing for class 12 board exams with Physics and Maths as their compulsory subjects are eligible to appear for JEE Main 2022. 2020-21 pass outs are also eligible to appear for this exam. However, before applying for the exam candidates should fulfil the JEE Main eligibility criteria. Failing to do so will result in the rejection of the application. In JEE Main, the difficulty level of the exam lies between moderate to tough. If we look at the previous year papers and break them down subject-wise, the Chemistry section is usually the easiest while Physics is found to be on a moderate level. Mathematics can be considered to be the toughest. In comparison to JEE Advanced, most of the questions in JEE Main are straightforward and NCERT based. However, a few tricky questions are also present and they are designed to test each candidate’s understanding of the concepts as well as their analytical skills. Meanwhile, NTA has set up several practice centres to familiarise students with the JEE Main examination.
Brief Advisory regarding COVID-19 Pandemic:Candidates are advised to carry only the following with them into the examination venue:
- Admit card along with Self Declaration (Undertaking) downloaded from the NTA Website (a clear printout on A4 size paper) duly filled in.
- A simple transparent Ball Point Pen.
- Additional photograph, to be pasted on the attendance sheet.
- Personal hand sanitiser (50 ml).
- Personal transparent water bottle.
- Sugar tablets/fruits (like banana/apple/orange) in case the candidate is diabetic.
What is JEE Main and Why You Should Take it?JEE Main is a standardised test that is conducted across different states in India. The exam is held at an undergraduate level for offering admissions in some of the best engineering and technical institutions that are Government funded or privately owned. The top reasons for taking the exam are: It is the only platform for engineering aspirants to land a seat in some of the premier technical institutes. JEE Main is the first step for IIT aspirants to get admission in top IITs and other colleges across the country through JEE Advanced.
JEE Main Important DatesThe important dates for JEE Main 2022 have not been released by NTA. As per previous year examination, the first session of JEE Main exam will be conducted in February 2022. Below we have provided the tentative exam dates for the first session:
JEE Main 2022 February Exam
|Online submission of Application Forms starts||Third week of December 2021|
|Last date for the successful payment of application fee||Third week of January 2022|
|Correction in Particulars||Third week of January 2022 (for February Session)|
|Downloading of Admit Cards from NTA website||Second week of February 2021|
|Date of Examination||(Session 1) : Last week of February 2022 (for February Session) (Session 2) : Third week of March 2022 (for March Session) (Session 3) : Last week of April 2022 (for April Session) (Session 4) : Last week of May 2022 (for May Session)|
|Timing of Examination||First Shift||9:00 a.m. to 12:00 p.m. (IST)|
|Second Shift||3:00 p.m. to 6:00 p.m. (IST)|
|Display of Question Paper attempted by the Candidate and Answer Keys for inviting challenges on NTA website||The date shall be updated soon|
|Declaration of Result on the NTA website||The date shall be updated soon|
JEE Main RegistrationThe exam authority usually opens the registration process for JEE Main quite early before the final exam. For 2022, the registration dates have not been announced. Candidates can register for JEE Main 2022 via online mode only by visiting the official website. They also have to pay the application fees. Candidates are suggested to check all the academic and personal details thoroughly before submitting the JEE Main application form. NTA has not announced the dates for the February session yet but, tentatives dates are as follows.
|Application Form Release||Third week of December 2021|
|Last date to submit the application form for JEE Main 2022||Second week of January 2022|
|Application Fee Payment||Second week of January 2022|
|Application Correction Availability||Third week of January 2022 (for February Session)|
How to Fill JEE Main Application Form?Students to keep a few things in mind while filling the application form. Firstly, the application form other than online mode will not be accepted. Candidates can submit only one application. Multiple submissions will be rejected. They can follow the given steps for successfully submitting the online application form.
- Step 1: Visit the official website (jeemain.nta.nic.in) and register for the online form. Make a note of the application number. It will be required to generate the password and for future correspondence.
- Step 2: Log in to the portal using the application number and password and access the application form.
- Step 3: Start filling in the form and type in all the required details.
- Step 4: Upload the scanned copy of the documents containing the signature and also photographs.
- Step 5: Payment of JEE Main Exam Fees – online or offline payment.
- Offline Payment: Download the e-challan and transfer the fee amount at any branch of ICICI Bank, Syndicate Bank, or Canara Bank.
- Online Payment: Using Credit Card, Debit Card, Net Banking, SBI Buddy Wallet, PAYTM, UPI, and Cash Cards.
- Step 6: Take a printout of the acknowledgement or confirmation page.
- Scanned copy of passport photograph. It has to be clear, in JPG/JPEG format and the image size has to be between 10 kb–200 kb.
- Digital copy of the candidate’s signature in JPG/JPEG format with the image size between 4 kb–30 kb.
- Category certificate (SC/ST/OBC/EWS etc.) and the file size: 50kb to 300KB).
- PwD certificate (file size: 50kb to 300kb) in jpg/jpeg format.
- Working e-mail id.
- Valid mobile number.
- A printer to print the confirmation page.
JEE Main Application FeeThe application fee for the exam has to be paid online. Following are the details for 2022.
|Fee payable for JEE (Main) – 2021(through Credit Card /Debit Card (except Master/Visa Card) / Net- Banking/UPI)||Type of Candidate||In India (Fee in Rs.)||Outside India (Fee in Rs.)|
|Paper 1: B.E./B. Tech orPaper 2A: B. Arch or Paper 2B: B.Planning||General/Gen-EWS/OBC(NCL)||Male||650||3000|
|Paper 1: B.E./B. Tech & Paper 2A: B. Arch or Paper 1: B.E./B. Tech & Paper 2B: B. Planning or Paper 1: B.E./B.Tech, Paper 2A: B. Arch & Paper 2B: B.Planning or Paper 2A: B. Arch & Paper 2B: B.Planning||General/Gen-EWS/OBC(NCL)||Male||1300||6000|
|Processing charges and Goods & Service Taxes (GST) are to be paid by the candidate, as applicable.|
JEE Main Eligibility CriteriaThe JEE Main eligibility criteria describes all the terms and conditions that aspirants should satisfy in order to be eligible for the exam. Hence, to avoid rejection in later stages, the students go through and understand the eligibility criteria before registering for the exam. We have highlighted some of the important ones below. Age Limit: There is no age limit for candidates who wish to appear for JEE Main exams. However, candidates must note that the IITs can set age criteria for admissions. The details are usually published in the JEE Main 2022 Information Brochure. Qualifying Exam: Irrespective of the age the applicant can qualify if they have cleared their class 12th or any equivalent exam such as a two-year Pre-University exam, Joint Services Wing of the National Defense Academy exam, senior secondary school examination, Higher Secondary Certificate Vocational Examination, Intermediate or two-year Pre-University examination, a diploma recognized by AICTE or a State board, General Certificate Education (GCE) examination (London/Cambridge/Sri Lanka) at the Advanced (A) level, High School Certificate Examination of the Cambridge University or International Baccalaureate Diploma of the International Baccalaureate Office, Geneva. Year: Students should have appeared for the exam in 2020 or 2021. Those who are appearing in their class 12th examination in 2022 are also eligible to appear in January JEE Main 2022 examination. Criteria For admissions in NITs, IIITs, and GFTIs: The candidate must secure 75% Marks in their class 12 board exams or should be within the top 20 percentile of their respective boards. For reserved category candidates, the minimum percentage required for admissions in NITs, IIITs, and GFTIs is 65%. Qualifying Marks: There is no minimum pass percentage for appearing in JEE Main exam. However, the applicants must pass their class 12 board or other equivalent examination.
Subjects Pursued in the Qualifying Exam:
|B.E or B.Tech Courses|
|3. Language Subject|
|4. Any of the following: Biotechnology, Biology, Chemistry, Technical Vocational Subject|
|5. Any Optional subject|
|B.Arch/ B.Planning Courses|
|2. Language Subject|
|3. Mathematics (Compulsory Subject)|
|4. Any of the following: Biotechnology, Biology, Chemistry, Technical Vocational Subject|
|5. Any Optional subject|
Eligibility Criteria for JEE Main Paper 2 and 3Total Attempts: The candidates can appear for JEE Main for three consecutive years. The candidate must have secured 50% marks in Maths, Physics, and Chemistry along with 50% aggregate marks in the qualifying examination. Mathematics is compulsory for candidates applying for B.Arch./B.Planning courses.
JEE Main Reservation CriteriaThe examination authority follows the reservation criteria laid by the government of India for granting admissions through JEE Main. All India ranks will be provided based on the categorical reservation policy. The percentage reservations of categories for admissions through JEE Main are as follows:
|OBC candidates: 27% reservation|
|SC candidates: 15% reservation|
|ST candidates: 7.5% reservation|
|PwD candidates: 5% reservation|
|GEN-EWS candidates: 10% reservation|
|Women candidates: 5% reservation|
JEE Main Exam PatternKnowing the JEE Main exam pattern is vital for candidates who want to have a smooth preparation for JEE. It helps students develop a clear idea of the marking scheme, distribution of questions, sectional weightage and exam duration. There is a new pattern for JEE Main exam. There are three papers instead of two. Paper 1 is for students aspiring for B.E./B.Tech courses in NITs, IIITs, DTU, and other GFTIs whereas Paper 2A is for B.Arch. Paper 2B is for B.Planning courses offered by these institutes. Understanding the exam pattern enables candidates to gain a valuable opinion about the whole exam structure. Therefore, for better results, students are advised to get a complete overview of the paper pattern and devise a suitable study plan or strategy. JEE Main Paper 1 comprises Maths, Physics, and Chemistry whereas Paper 2A has Maths, Aptitude, and Drawing Test. Paper 2B will consist of Mathematics, Aptitude and Planning based questions. The candidates can opt for either one or both the papers. NTA has also test again increased the number of questions in Paper 1. Now there will be 90 questions but candidates can attempt any 75 questions and the total marks allotted is also 300. All the papers are entirely computer-based online test whereas Paper 2B drawing section is conducted offline in a pen and paper-based mode. The exam duration for all the Papers is 3 hours.
JEE Main Paper 1 (B.E or B.Tech Courses)Exam Mode: Computer-based offline exam. The students will have to mark their responses on already downloaded answer sheets. Exam Duration: 3 hours The Questions will be from topics covered in Physics, Chemistry, and Maths. Nature of Questions: Objective Type – Multiple Choice Questions (MCQs) & Questions for which answer is a numerical value, with equal weightage to Mathematics, Physics & Chemistry. The paper will have a total of 90 questions with 20 questions in section a and 10 in section b. Candidates can attempt 75 questions (300 marks) with 20 questions in section a and 5 questions in section b for each subject – Physics, Chemistry, and Maths.
JEE Main Paper 1 Marking SchemeFor MCQs, every correct answer will be awarded 4 marks while 1 mark will be deducted for every incorrect answer. No marks are given for questions left unattempted. The marking scheme for numerical based questions includes 4 marks for the correct answer. There is no negative marking even for incorrect answers. No marks are given for unanswered questions.
JEE Main Paper 2A (B.Arch)Exam Mode: Computer-based offline exam for Part I and Part II and Pen-paper for Paper III. Exam Duration: 3 hours The questions will be from topics covered in Maths, General Aptitude, and Drawing Skills. Mathematics will consist of MCQs and questions for which the answer will be a numerical value. Aptitude will also have MCQs. The drawing test will evaluate the sketching and drawing skills. Total questions that will be asked in the paper will be 82 out of which students can attempt 77 questions (Mathematics- 25; Aptitude- 50; Drawing- 2). Candidates can choose to answer any 5 out of the 10 numerical value-based questions asked in the Mathematics section.
JEE Main Paper 2A Marking SchemeFor every correct answer in Maths and Aptitude section, 4 marks will be awarded while 1 mark will be deducted for every incorrect answer. There is no negative marking for Drawing questions. For the Drawing test, marks will be allotted on the basis of the candidate’s drawing skills. Numeric Value questions will contain 4 marks for every correct response. There is no negative marking in case of an incorrect answer or unattempted question.
JEE Main Paper 2A (B.Planning)Exam Mode: Computer-based offline exam. Exam Duration: 3 hours The Questions will be from topics covered in Maths, General Aptitude, and Planning skills. Mathematics and Aptitude will have single correct objective type multiple-choice questions. Planning based question will also be MCQ type. Total questions that will be asked in the paper will be 105 out of which students can attempt 100 questions. In this paper also, candidates can choose to answer any 5 out of the 10 numerical value-based questions asked in the Mathematics section.
JEE Main Paper 2B Marking SchemeFor every correct answer, 4 marks will be awarded while 1 mark will be deducted for every incorrect answer. 4 marks will be awarded for the correct answer in numerical based question. No negative marking is given. Note: All the calculations/writing work should be done only in the Rough Sheet provided at the Test Centre or the examination Room/Hall. Once the exam is over candidates should hand over the rough sheets to the invigilator.
JEE Main Mock TestSince JEE Main exam can be taken only in the computer-based online test, therefore, the conducting authority has set up several practice centres to help the engineering aspirants get acquainted with the exam format. Students can access the mock test for JEE Main online by visiting the link ( www.nta.ac.in) for hands-on practice. Earlier, students could also visit the practice centres set up by the National Testing Agency and take the test. This facility might now be available this time. We will keep this space updated when we get the information. They can train themselves for the “Computer Based Test (CBT)” mode of examinations. Experienced and professional Nodal officer and staff are said to be available at the TPC. Candidates could take their help and clear their doubts regarding the exam. The benefit of taking the mock test is that the pattern of the test is similar or exact to the real JEE Main exam. Therefore, it will have a good impact on the preparation as well as the performance of the candidates.
Importance of JEE Main Mock TestPracticing mock tests will help candidates get familiar with the type of questions, marks distribution, difficulty level and the topics relevant to the examination. It helps to evaluate the performance before the final examination. From an in-depth evaluation of the section-wise performance report, a suitable JEE Main preparation strategy can be planned. Regular practice of mock tests increases the speed and accuracy of students in completing the exam. It familiarizes them with the real exam scenario and drives away any nervousness for the test.
JEE Main SyllabusWhile the JEE Main syllabus is mainly mapped according to the NCERT textbooks, NTA does prescribe a separate syllabus for JEE. It comprises of topics that are covered in class 11th and 12th standard including subjects such as Maths, Physics and Chemistry. Note: As per the announcement made by the Union Minister for Education, Ramesh Pokhriyal, the syllabus will remain the same as the previous years. There will be no reduction. The questions asked in the JEE Main exam are easy but require a lot of smart work, practice and effective preparation. One of the major challenges generally faced by students is the time constraint. To overcome this, students need to develop adept problem-solving skills as well as time management skills to ensure the successful completion of the examination. Moreover, before starting their preparations students should acquire an in-depth and clear understanding of each and every topic covered in the syllabus of JEE Main. Therefore, candidates should read the syllabus at least once before studying. This exercise will help them gain insight into all the important chapters or topics that they should focus on. Additionally, they can formulate a proper study plan accordingly. Having said that, here is the subject wise breakdown of important chapters for JEE Main 2021. Students need to pay proper attention to these chapters to ace the examination.
Important Chapters for JEE Main
|Sequence and Series||Determinant and Matrices|
|Definite Integral||Probability Distribution|
|Functions||Limits and Continuity|
|Conic Sections||Application of Derivatives|
|Quadratic Equation||Complex Numbers|
|Binomial Theorem||Area under the Curve|
|Alternating Current||Wave Optics|
|Magnetic Effects of Current||Properties of Matter|
|Bohr’s Atomic Model||Waves and Sound|
|Gaseous and Liquid State||Atomic Structure|
|Chemical Bonding||Surface Chemistry|
|Coordination Compound||D Block Elements|
|Aromatic Compounds||Alkyl Halides|
|P Block Elements||Thermodynamics|
|Isomerism||General Organic Chemistry|
|Carboxylic Acids||Aldehydes and Ketones|
JEE Main Answer KeysSoon after the examination, National Testing Agency also releases or publishes the set wise answer keys representing the correct options of all the questions asked in JEE Main. With the help of these answer keys, students can calculate their expected scores before the results are announced. After successful completion of the exam, the official link for answer keys will be made available on the website using which the applicants can download and access the documents.
How to download JEE Main Answer Keys?To download the answer keys, open the official link published by the conducting authority. Submit your application number and password followed by the selection of your date and slot of JEE Main examination. The answer keys will be displayed. The students can also download it for future references. Challenging JEE Main Answer Keys: Initially, the provisional answer keys are released. After comparing the results applicants can raise their objections. This should be done within a certain time frame. After considering all the valid objections, the final answer keys of JEE Main are announced.
JEE Main Question Paper with Solutions and Answer keysAlong with the mock tests, students are also advised to practice previous year’s JEE Main question papers to boost their success rate in such a highly competitive entrance exam.
JEE Main Marks vs RanksWe have prepared a predicted range of JEE Main Marks vs Ranks from the previous year’s trend. Engineering aspirants can check marks vs expected ranks from the table provided below.
|JEE Main Score Range||Expected Ranks|
|336 Marks to 360 Marks||Rank 1 to 20|
|310 Marks to 335 Marks||Rank 21 to 225|
|251 Marks to 300 Marks||Rank 226 to 1,492|
|201 Marks to 250 Marks||Rank 1,493 to 5,752|
|151 Marks to 200 Marks||Rank 5753 to 18,377|
How to Check JEE Main Results?Open JEE Main result portal Enter your roll number and date of birth Click the Submit button The results will be displayed on the screen. Students are advised to download the scorecard for future references, especially for the counselling and admission process.
Details Mentioned in JEE Main ScorecardName of the Candidate Nationality and Category of Candidate NTA scores obtained in Maths, Physics, and Chemistry Best out of Four percentile will be the result All India Rank and Category Rank JEE Advanced Qualifying Status
JEE Main 2019 Cutoff
|General: 89.75 Marks|
|OBC NCL: 74.31 Marks|
|Scheduled Caste: 54.01 Marks|
|Scheduled Tribe: 44.33 Marks|
JEE Main 2018 Cutoff
|General: 74 Marks|
|OBC NCL: 45 Marks|
|Scheduled Caste: 29 Marks|
|Scheduled Tribe: 24 Marks|
JEE Main 2017 Cutoff
|General: 81 Marks|
|OBC NCL: 49 Marks|
|Scheduled Caste: 32 Marks|
|Scheduled Tribe: 27 Marks|
|JEE Main 2020: 9,34,000 Applicants (January figures)|
|JEE Main 2019: 9,41,198 Applicants|
|JEE Main 2018: 10,43,739 Applicants|
|JEE Main 2017: 11,86,454 Applicants|
JEE Main Counselling ProcedureJoint Seat Allocation Authority is set by the HRD Ministry to regulate the admission process for IITs, IIITs, NITs, and government-funded technical institutes. The students qualifying JEE Main will be able to apply for NITs, IIITs and CFTIs through JoSAA counselling. The seat allocation in the preferred technical institute is done based on merit, eligibility, preferences and seat availability. The qualifying students are required to register for JoSAA counselling whose registrations will commence after the declaration of the results.
JoSAA Participating InstitutesA total of 97 engineering institutes comprising 23 IITs, 31NITs, 23 IIITs and 20 GFTIs participate in the seat allocation procedure through JoSAA.
|Indian Institute of Technology (23 Colleges, 10,988 Seats)|
|National Institute of Technology (31 Colleges, 17,868 Seats)|
|Indian Institute of Information Technology (23 Colleges, 3,433 Seats)|
|Government Funded Technical Institutes (20 Colleges, 3,919 Seats)|
Top 10 NIT CollegesAdmission in a top NIT college is a dream for every JEE Main aspirant. However, to grab a seat in NIT colleges demands a meritorious rank. The leading NIT institutes include NIT Warangal, NIT Trichy, NIT Surathkal, NIT Rourkela, and MNNIT Allahabad.
|NIT Trichy (Tamil Nadu) – 814 Seats|
|NIT Rourkela (Odisha) – 850 Seats|
|NIT Surathkal (Karnataka) – 740 Seats|
|NIT Warangal (Telangana) – 800 Seats|
|Motilal Nehru NIT (Allahabad, Uttar Pradesh) – 814 Seats|
|Visvesvaraya NIT (Nagpur, Maharashtra) – 746 Seats|
|NIT Calicut (Kerala) – 937 Seats|
|Sardar Vallabhbhai NIT (Surat, Gujarat) – 873 Seats|
|NIT Silchar (Assam) – 632 Seats|
|NIT Durgapur (West Bengal) – 672 Seats|
How To Prepare For JEE Main 2022?For most of the students, coaching classes are considered to be one of the main solutions to secure a good ranking. However, an aspirant can achieve their desired result without coaching provided they put in a fair amount of effort and develop an effective preparation strategy. Candidates need to devise a well-organised study plan. Furthermore, they need to have a smart approach to everything. They need to learn what the exam is all about, read the syllabus, use the right study materials, practice solving questions, etc. They should also be mentally and physically fit to write the exam. In any case, we have listed some of the key tips that will help each candidate to boost their JEE Main preparation.
JEE Main Preparation TipsBegin from scratch – Fundamentals play a vital role in JEE Main. Always concentrate on structuring and understanding the basics of all the subjects. When the basics are strong, learning becomes easier. Prepare a timetable – JEE Main preparation curriculum is extensive. Hence, it should be scheduled to gain the best results. Split the syllabus into different parts according to your benefit. It can be limited to a chapter or a unit. Follow the timetable and avoid distractions in between. Know the syllabus and pattern – For better preparations, the most significant factor is to keep oneself updated with the complete syllabus along with the paper pattern. Befriend books – For JEE Main preparations, NCERT textbooks are a must, no matter which subject it is. Therefore solve NCERT textbooks before moving to other references. Also, remember to choose the right study resources which will help you study productively.
Best books for JEE Main PreparationHere is a list of all the relevant textbooks that students can follow to boost their JEE Main preparation.
|Mathematics: NCERT – Maths XI and XII S. L Loney – Trigonometry S. L Loney – Coordinate Geometry Hall and Knight – Higher Algebra I.A Maron – Problems in Calculus of One Variable|
|Chemistry: NCERT Books – Class 11 and Class 12 Numerical Chemistry by P. Bahadur J.D. Lee (Organic Chemistry) Morrison and Boyd (Inorganic Chemistry)|
|Physics: H.C. Verma – Concepts of Physics Vol I and II I.E Irodov – Problems in General Physics Halliday, Resnick, and Walker – Fundamentals of Physics|