



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Semester exam level questions on introductory-level physics-oriented programming in Python for beginners. TOPICS - Terminal, Shell, Bash, Scripts, Vim, Nano, Jupyter Notebook, functions and arguments, for and while loops, iterations and nested loops, continue, break, and pass control statements, if, else, and elif conditional statements, nested statements, recursion, random numbers, Numpy, linalg, matplotlib, Scipy, integrate, solve_ivp, dictionary, pandas.
Typology: Exams
1 / 6
This page cannot be seen from the preview
Don't miss anything!
Section A (Answer all questions -- do not spend more than 1 hour) Each question carries 2 marks.
Section 8 (Answer any 3 question -- do not spend more than 45 minsoneach) Each question carries 6 marks.
dimensional identity matrix. Using the above function^2 l^ x^ 2 0-y^ ato^3 show that^ cr^2.^ Here,^ p^^ O' is Herm iti x,^ O'y^ anan^ O'^ but not positve for y^ are t e usual^ Paull^ a^^ =ma^ {tn l, ce^ l , s^^ a l} , nd^ but^ a^2 isis^ thbothetw^ foro- a= {0,1,0}. (3 Marks)
Here, O'x and O'Y are the usual Pauli matrix and 02 is the two-dimensional identity matrix. a) Write a function that creates H for arguments^ J^ and^ g.^ (3^ Marks) b) Find out the dimensionof^ H.^ (1Mark) c) Find out the eigenvaluesof^ Hand^ write the diagonal form of^ H.^ (1+^ 1 Mark) Note: No transformationsofmatrix required.
Answer all questions^ -^ do not spend more than 1 hour. Each question carries^2 marks.
1.^ Define a function that takes anaturalnumber^ n,^ and uses a^ while^ or^ for^ loop^ to outputa list^ which^ contains^ the sum^ and^ productof allnatural^ numbersup^ ton (including^ n).^ Donot^ use^ NumPyor^ SciPy.^ Print^ theoutputfor^ n^ =^ 5.
Answer all^ questions^ -^ do^ not^ spend^ more than 1.5 hours. Each question^ carries 3+^ 1 marks, where 1 mark^ is^ for clarity^ in^ the answer.
The initial state is,^ x(O)^ =^ [1, 1 , 1).^ i)Evaluate the above at 100 values of time^ in^ the range, t^ E [O,10). Store the valuesoft,^ x^0 ,^ x^1 ,^ and^ x^2 ina dictionary (with readable labels) andsave it in a json file, "your_rollno.json"and^ submit^ the file. ii) Plot^ X -i^ vs t, Vi on the^ same^ plot,^ using^ matplotlib.^ Use legends for the different plots.
(a) A hard 8 (b)^ An^ easy 8