The wave function W(x,t)=Ax^4 where A is a constant. If the particle in the box W is normalized. W(x)=Ax^4 (A x squared), for 0<=x<=1, and W(x) = 0 anywhere. A is a constant. Calculate the probability of getting a particle for the range x1 = 0 to x2 = 1/3 a. 1 × 10^-5 b. 2 × 10^-5 c. 3 × 10^-5 d. 4 × 10^-5
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The wave function W(x,t)=Ax^4 where A is a constant. If the particle in the box W is normalized. W(x)=Ax^4 (A x squared), for 0<=x<=1, and W(x) = 0 anywhere. A is a constant. Calculate the probability of getting a particle for the range x1 = 0 to x2 = 1/3
a. 1 × 10^-5
b. 2 × 10^-5
c. 3 × 10^-5
d. 4 × 10^-5
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- 36.7. If 2 = .09 and initially N = 10, what is the probability that N = 12 one year later? What is the probability that N= 12 two years later? Use the equation below to estimate the probability of N=10 (No+j-1)(No+j-2)...N 0が j! |For statistical problems in general: on a flat and level square the drunkard moves 3 steps and the distance for each step is 20 cm. A. Find the probability that he is 20 cm to the right of the lamp. B. All possible steps and a probability diagram is drawn.PROBLEM 2. Calculate the probabilities of measurement of different mo- menta p for a particle with the wave function (x) = Ceka sin (gx), %3D where C is a normalization constant.
- a. Calculate the minimum uncertainty in the position of an electron in meters, if its velocity has been measured to within 2.34e-06 m/s. For the mass of an electron use 9.10938356 × 10-31 kg and for huse 1.0545718 x 10-34 Js. m b. 44 = 141² = ² represents a: O the pitchfork operator O probability density O numerov program O wave function c. The sum of all the little bits of probability over possible measurements that can be made (i.e. over all space): S4²4 = 1 is called: O the quantum condition O the normalization condition O the human condition O the eignen conditionWe have a biased random walk. The probability of moving right is 2/3 and the probability of moving left is 1/3. а. What is after 2 steps? What about after 4 steps? What is its mean-squared displacement (MSD) after 2 steps? What about after 4 steps? b. с. What is its variance after 2 steps? What about after 4 steps?If the Probability of each of the steps of the drunk man is equal (p = q = 1/2) obtain the Probability that act of 5 steps 3 of them would be to the right. . Calculate the relative width for random walk problem. if the total number of steps is N = 25 a. for equal number of steps to the right and left side (p = q) . b. for p = 0.4 , q = 0.6
- Find the locations where the probability density has its maximum values for the wave function w(x) = A(2ax² - 1)e-ax2/2, which represents the second excited state of the simple harmonic oscillator. IQUESTION 1 The expectation value is the strict average of the possible values. O True FalseA particle is described by the following function: A for 11. Find the normalization factor over all space for the following wave function. i |2mE +C+e i +x/2mE Y(x) = c _ e 2. After finding the normalization factor above, determine the probability of finding the particle in the region 0a) Make a diagram showing how many distinct ways (how many microstates, the multiplicity) there are of putting q = 2 indistinguishable objects in N = 3 boxes. Assuming that all microstates are equally probable, what is the probability that both objects are in the left-most box? What is the correct formula for the mulitiplicity as a function of N and q? b) Make a diagram showing how many distinct ways (the multiplicity) there are of putting q = 2 distinguishable objects in N= 3 boxes. Assuming that all microstates are equally probable, what is the probability that both objects are in the left-most box? Label the two objects R and G. What is the correct formula for the mulitiplicity as a function of N and q? Below are the diagrams, started for you. Complete the diagrams. distinguishable indistinguishable RG •. !R !GCharge is distributed over a triangular region in the xy-plane bounded by the y-axis and the lines y = 5 – x and y = 1+ x. The charge density at a point (x, y) is given by o(x, y) = x + y, measured in coulombs per square meter (C/m 2). Find the total charge. Select one: О а. 4 С b. 68 C 3 44 C 3 O c. O d. 20 37 C 3 е.SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSONCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University PressPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio…PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON