Part d 1. A particle in the infinite square well has the initial wave functionL2Ax,0

Answered: Image /qna-images/answer/e1e1ad6d-8316-4630-a96e-5a9b16af4651.jpg

Answered: Part d | bartleby

Science

Physics

Part d

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 80AP: A particle in a box [0; L] is in the third excited state. What are its most probable positions?

See similar textbooks

Related questions

Q: ____ is an objects change in position relative to a reference point . a) acceleration b) speed c...

A: 1. Motion Because reference point is used for the comparison to determine if the object is in moti...

Q: A light ray enters a rectangular block of plastic at an angle 0, = 46.0° and emerges at an angle 0, ...

A: Given: The angle of incidence is θ1=46°. The angle of emergent is θ2=75.4°. Also, the refractive ind...

Q: 17) Calculate the binding energy per nucleon of the Chlorine-35 nucleus. (1u = 931.5 MeV; C-35 atom...

Q: On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% ...

A: Explanation: The expression for the moment of inertia of the person is: Arms outstretched I =112×0.1...

Q: An airplane maintains a speed of 573 km/h relative to the air it is flying through as it makes a tri...

A: Given:- An airplane maintains a speed of 573 km/h relative to the air it is flying through as it ma...

Q: If a certain silver wire has a resistance of 5.40 2 at 17.0°C, what resistance will it have at 56.0°...

Q: Both parts please, thank you.

A: Calculate acceleration first from V-T graph

Q: Planck hypothesized that the blackbody radiation has discrete energy. Calculate the energy of a phot...

A: Planck's law is E=hv ......(...

Q: black block is 2.07 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.37...

Q: 30 N (a) an axis through O perpendicular to the page magnitude N.m direction ---Select--- (b) an axi...

Q: What is the frequency of a wave that has a wavelength of 7 meters and a period of 11 seconds?(write ...

Q: 2. If the conductivity of the pure Germanium change with temperature according the fol- lowing relat...

A: If Eg = band gap of germanium T is temp K = Boltzmann constant = 1.38*10^(-23) Conductivity depend...

Q: Help

A: Introduction: We need to use concept of inverse trigonometry & trigonometry along with magnitude...

Q: A hiker walks 2.95 km north and then 4.10 km west, all in one hour and twenty minutes. (a) Calculate...

Q: An electric heater carries a current of 13.0 A when operating at a voltage of 1.50 x 102 V. What is ...

Q: Particles of charge +65, +48, and −95 μC are placed in a line. The center one is L = 60 cm from each...

A: The electrostatic force between two charges q1 and q2 separated by a distance r is given as:F→=kq1q2...

Q: PHYS101 CHAPTER 2: Describing Motion: Kinematics in One Dimension 11) light turns green for 20 s, ca...

A: Given Data : The initial velocity of car A is given as ua =0 m/s. The acceleration of car A is given...

Q: One of the most important applications of lasers is to measure small dimensions False True

A: We are allowed to answer only the first question. For solutions to other questions, please re-post m...

Q: Two blocks are positioned on surfaces, each inclined at the same angle of 47.2 degrees with respect ...

A: Answer (2) 11.57Kg Solution

Q: Refraction causes objects submerged in water to appear less deep than they actually are. The fish in...

Q: 23. A neon sign that requires a voltage of 11,000 V is plugged into a 120-V wall outlet. What turns ...

A: Output voltage (Vs) = 11000 volts Input voltage (vp) = 120 volts

Q: Two blocks are positioned on surfaces, each inclined at the same angle of 55.4 degrees with respect ...

Q: Mars has a mass 1/10 that of Earth and a radius 1/2 that of Earth. How does the gravitational force ...

A: The gravitational force on mass m due to earth of mass M and radius R is, FEarth=GMmR2 Given : Mass...

Q: 13) Calculate the mass-defect of Oxygen-16. (Oxygen has an atomic number of 8 and Atomic Weight of ...

Q: What is the electric flux for the following sets of variables? E= 8.2 x 1013 A=...

Q: I need both parts answered please, thank you.

Q: 1. A flashlight bulb carries a current of 0.38 A for 98 s. How much charge flows through the bulb in...

A: Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Physics Question

A: SOlution: given that m = 0.3 kg n = 120 rpm L = 2 m

Q: A mole of atoms is 6.02 x 1023 atoms. How many moles of atoms are in a domestic cat with a mass of 7...

A: Mass of cat , M = 7.5 kg Mass of average atom , m = 11 u To find = moles in a domestic cat

Q: The distance from Earth to the Sun is 92,960,000 miles. How many feet is between the Earth and the S...

A: Recall 1 mile=5280 feet using this conversion we have .

Q: What is the radius of a flat circle when it is placed in a uniform electric field magnitude of 4.6 x...

Q: ________ is the speed of an object in a given direction . a) acceleration b) speed c) motion d)...

Q: 11. Which of the following is not true regarding electrmagnetic energy? a. Electromagnetic energy tr...

Q: Please Help

A: Given: The mass of block 1 is m1=1 kg. The mass of block 2 is m2=2 kg. The mass of block 3 is m3=3 k...

Q: Suppose you are whirling the ball at the end of the string with an angular velocity of rad. s Then y...

Q: A wheel with a radius of 10 meters starts from rest when it is given an angular acceleration of 11 r...

A: Given values:- The radius of the wheel,(r)=10 m -----(1) Angular acceleration,(α)=11 rad/sec2 -----...

Q: A flywheel free to rotate is initially at rest. The flywheel then has an angular acceleration of 8 r...

Q: A 45 kg , 5.5-m-long beam is supported, but not attached to, the two posts in the figure (Figure 1)....

Q: 3

Q: The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function:x=-(...

A: Recall For SHM, maximam KE=max. PE= TME( total mechanical energy)

Q: Find the potential at point p

A: Given that each charge = 1 μC side of the cube is a = 5 m

Q: An ordinary neon light fixture like those used in advertising signs emits red light of wavelength 63...

A: Neon atoms are used in the He-Ne laser. Helium atoms excite neon atoms. It emits red light of wavele...

Q: Consider the circuit shown in the figure below. (Assume R, = 10.5 Q, R2 = 2.70 Q, and V = 6.20 V.) R...

A: Here we have to use ohm's law.

Q: Im having difficulty with the following problem and need sort of a walk through. Please Help! A pi...

A: The first equation of motion is v = u + at The momentum is given by p = m v where., v is the fin...

Q: The two plates of a capacitor hold +2500 μC and -2500 μC of charge, respectively, when the potential...

Q: If a satellite is moved from 2000m to 4000m above the earth, compare the avitational force in both l...

Q: A cylinder of mass 14.0 kg rolls without slipping on a horizontal surface. At a certain instant its ...

A: Given, Mass of cylinder m = 14 Kg Speed v = 9 m/s ( a ) Determine the translational kinetic energy...

Q: ) Calculate the current flow on R2 resistance using Ohm's Law. R1 1.2 kQ Ammeter R2 +\v 2.4 V 200 2

Q: Help! Please use the given number as is in the problem, such as 6.0 x 10^12

A: The time taken by the Alien to receive signals is, t=dv=4.367 light year6.0×1012 miles1 light year18...

Q: A physics teacher asked for students to find the average mass of a coin, given 8 similar coins and a...

A: The students are trying to measure the average mass of each coin with the help of a beam balance. Th...

Question

Part d

1. A particle in the infinite square well has the initial wave function
L
2Ax,
0<x<키
Y(x, 0) =
L
| A(L – x), <xs
-
otherwise,
for some constant A. This wave function is sketched below.
v (x, 0)
2AL
L
(a) Determine the constant A by normalizing 4(x, 0).
(b) Find Y(x, t).
(c) Calculate the probability that a measurement of the energy would yield the values (i) E1,
(ii) E2, and (iii) E3.
(d) Calculate the average position, (x), of the particle at t = 0.
(e) Calculate the average momentum, (p), of the particle at t = 0.
(f) Calculate the average energy, (E), of the particle. (Note: E-1 sin? () = 5-)
n=1
n²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A particle with mass m moving along the x-axis and its quantum state is represented by the following wave function: (x,t)={0,x0Ax e ax e iEt/h,x0, where a a=2.01010m1. (a) Find the normalization constant. (b) Find the probability that the particle can be found on the interval 0xL. (c) Find the expectation value of position. (d) Find the expectation value of kinetic energy.
Suppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?
The wave function is evaluated at rectangular coordinates (x. y, z) = (2, 1, 1) in arbitrary units. What are the spherical coordinates of this position?
Can the magnitude of a wave function (*(x,t)(x,t)) be a negative number? Explain.
Find the expectation value x2 of the square of the position for a quantum harmonic oscillator in the ground state. Note: +dxx2ea x 2=(2a 3/2)1.
A 12.0-eV electron encounters a barrier of height 15.0 eV. If the probability of the electron tunneling through the barrier is 2.5 %, find its width.
Determine the expectation value of the potential energy for a quantum harmonic oscillator in the ground state. Use this to calculate the expectation value of the kinetic energy.
A particle with mass m is described by the following wave function: (x)=Acoskx+Bsinkx, where A, B, and k are constants. Assuming that the particle is free, show that this function is the solution of the stationary SchrÖdinger equation for this particle and find the energy that the particle has in this state.
An electron confined to a box has the ground state energy of 2.5 eV. What is the width of the box?
A particle of mass m is confined to a box of width L. If the particle is in the first excited state, what are the probabilities of finding the particle in a region of width0.020 L around the given point x: (a) x=0.25L; (b) x=040L; (c) 0.75L and (d) x=0.90L.
Consider an infinite square well with wall boundaries x=0 and x=L. Show that the function (x)=Asinkx is the solution to the stationary Schrödinger equation for the particle in a box only if k=2mE/h. Explain why this is an acceptable wave function only if k is an integer multiple of /L.
Estimate the ground state energy of the quantum harmonic oscillator by Heisenberg's uncertainty principle. Start by assuming that the product of the uncertainties x and p is at its minimum. Write p in terms of x and assume that for the ground state xx and pp, then write the ground state energy in terms of x. Finally, find the value of x that minimizes the energy and find the minimum of the energy.