An electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.45 eV. (a) What is the length L of the region? nm(b) What energy input is required to promote the electron to its first excited state? eV

An electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.45 eV. (a) What is the length L of the region? nm(b) What energy input is required to promote the electron to its first excited state? eV

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 25P

See similar textbooks

Related questions

Q: Consider the charge q1=1.6 microcolumbs at the origin. A. Find the magnitude of the electric field…

Q: SITUATION 2. Similar bars as shown are translating and/or rotating with the given linear and A B C D…

Q: a van travels a distance d=25.6m in the positive x direction in a time t1=23.7s, at which point it…

A: Proper solution with step by step is provided below:Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Please don't provide handwritten solution...

A: Answer -The focal length of the lens is 2.096 cm.Explanation:Step 1:Given, The nickle's image has…

Q: A 4.0 kg body has two times the kinetic energy of an 8.5 kg body. Calculate the ratio of the speeds…

Q: Two parallel, uniformly charged, infinitely long wires carry opposite charges with a linear charge…

A: Linear charge density, λ = 1.00 μC/m Distance between wire , d=4.22 cm = 0.0422 mDistance the point…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT • A car travels from Santiago to Valparaiso at 24 m/s and in…

A: Initial velocity, u = 24 m/sFinal velocity, v = 30 m/sTime, t = 3 sAcceleration, a = ?

Q: Two wires are tied to the 3.0 kg sphere shown in (Figure 1). The sphere revolves in a horizontal…

A: m=3.0 kg

Q: One mole of an ideal monatomic gas goes through the reversible cycle shown. V₁ = .0.0130 m³, Vab =…

Q: In the circuit shown below, switch S2 is open and switch S1 is closed until inductor L1 is charged…

A: detailed analysis given in explanationExplanation:

Q: Energy may not be created or destroyed, but it may be converted into different types. Categorize the…

Q: Determine the magnitude of the resulting force in Newtons of the system in figure considering that…

A: The magnitude of the force P is The magnitude of the force Q is .The angle between and is The…

Q: What is the net work Wnet,s = ΣWs done by the gas in this process and What is the heat QH taken from…

A: Wnet= 960.154 J And QH= 2910.446 JExplanation:Step 1:Step 2:Step 3:Step 4:

Q: During inspiration, the volume of the lungs is actively increased by the action of the diaphragm. As…

A: a. 0.0302 Nb. 484.624 cm/sExplanation:See this solution:

Q: SITUATION 3. A slender rod of length I and weight W is pivoted at one end as shown. It is released…

Q: 1 eV – is the energy, which an particle with elementary charge gets going through 1V voltage. Find…

A: The objective of the question is to find the relation between energy in electronvolts (eV) and…

Q: The drawing shows two surfaces that have the same area. A uniform magnetic field B fills the space…

Q: A badminton racket is constructed of uniform slen- der rods bent into the shape shown. Neglect the…

Q: Determine the speed v at which the race car will have no tendency to slip sideways on the banked…

Q: Ropes AB and AC are thrown to a boater whose canoe has capsized. If a = 25 degrees and the magnitude…

A: The tensions in rope AB = 46.89lbs The tensions in rope AC = 53.79lbsExplanation:Please see the…

Q: A 8.5 V potential difference is applied between the ends of a 0.80-mm-diameter, 90-cm-long nichrome…

Q: Problem 1: = 0.1 m. In the figure below four wires are on the corners of a square with a side of…

A: Net Magnetic field at point P is (8×10−6i^−8×10−6j^)TExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Q.8 How much work is needed to stop a 2540 kg car that is moving straight down the highway at 25…

Q: A train at a constant 61.0 km/h moves east for 25.0 min, then in a direction 54.0\deg east of due…

Q: R₁ =R₂ =9.00 R₁ =R=3.02 V = 15 V R₁ R₂ мими R₂ Ry wwww Calculate the power delivered to resistor 2.

A: For a series connectionFor a parallel connectionR1 and R2 are in seriesR3 and R4 are in series

Q: Which of the following forces is conservative? (a) F=k(x, 2y, 3z) where k is a constant. (b) F =…

A: The forces are given.

Q: 1. In an amusement park a large upright convex spherical mirror is facing a plane mirror 10.0 m…

Q: A device called a railgun uses the magnetic force on currents to launch projectiles at very high…

A: Proper solution is provided given below:Explanation:Step 1: Finding current The current can be…

Q: A 2.0 cm × 2.0 cm parallel-plate capacitor has a 2.0 mm spacing. The electric field strength inside…

Q: An object located 1.17 cm in front of a spherical mirror forms an image located 11.3 cm behind the…

A: The objective of this question is to find the radius of curvature of the mirror and the…

Q: .A 1200 kg car has an initial velocity of 10 m/s i and accelerates for 6 s with a net force (in the…

Q: To keep the calculations simple, but still reasonable, we shall model a human leg that is 100.0 cm…

Q: As a roller coaster car crosses the top of a 40m diameter loop-the-loop its apparent weight is the…

Q: A model car has two times as much speed as another.

A: The kinetic energy of an object is defined as the amount of energy the object possesses by virtue of…

Q: Two point charges are placed on the x-axis as follows: charge q1 = 3.96 nC is located at x = 0.201…

A: Charge is placed at Charge is placed at Charge is placed at origin.Note:Coulomb constant is…

Q: A Bullet of mass 0.1 kg is fired horizontally into a block of wood of mass 2 kg. After impact the…

Q: A 2.4 nF parallel-plate capacitor has an air gap between its plates. Its capacitance increases by…

Q: A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a…

A: Radius of the semicircle is Magnetic field is Find:The change in magnetic flux.

Q: Question 1 A 65 cubic ft container of MSL air at 2070 psf gage pressure and 54 degrees Fahrenheit is…

A: The objective of the question is to find the new gage pressure in tenths when the container is…

Q: A roller-coaster car may be represented by a block of mass 40.0 kg. The car is released from rest at…

Q: 79. A series RL circuit has two resistors and two inductors. The resistors dissipate 7 W and 12 W.…

A: The objective of the question is to find the current flowing through a series RL circuit given the…

Q: A 175-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in…

A: The objective of the question is to find the constant force required to bring the merry-go-round…

Q: The wire in the drawing carries a current of 13 A. Suppose that a second long, straight wire is…

Q: To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he…

A: The objective of the question is to find the speed of the discus at the point of release. This can…

Q: A smooth circular hoop with radius of 0.5 meters is placed flat on the floor. A 0.400-kg particle…

Q: A 20 cm B <40 cm- Example: Both boxes weigh 20 kg but are different sizes. The distance from the…

Q: The Inverse Square Law: a. The x-ray beam is directly proportional to the square of distance from…

A: We need to explain " The inverse square law"

Q: Problem 5: An electron (q= -e = -1.60 × 10-19 C and me = 9.11 × 10-31 kg) in a cathode-ray tube is…

A: Magnetic field strength is 0.0029TExplanation:Given data:-Solution:-

Q: Calculate the energies of the following waves (in kilojoules per mole) An FM radio wave at 96.5 MHz…

Q: PROBLEM 10 How much weight is going to each of Sam's arms, assuming Sam is in equilibrium (aka…

A: The objective of the question is to determine the weight distribution on each of Sam's arms while he…

Question

An electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.45 eV.

(a) What is the length L of the region?
nm

(b) What energy input is required to promote the electron to its first excited state?
eV

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 by step

Solved in 1 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

An electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.95 eV. What is the length L of the region? and what energy input is required to promote the electron to its first excited state?
A 24.7 eV electron has a 0.247 nm wavelength. If such electrons are passed through a double slit and have their first maximum at an angle of 30.0°, what is the slit separation d (in nm)? nm
A) what is the radius in nm of the electron orbit of a hydrogen atom for n=3 ? b)what is the radius in no of the electron orbit of a hydrogen atom for n=2 ? C) what is the energy in eV of the electron of a hydrogen atom for the orbit designated n=1 d) what is the energy in eV of the electron of a hydrogen atom for the orbit designated n=4 ?
An electron is in a certain energy state in a one-dimensional,infinite potential well from x=0 to x=L=200 pm. The electron’s probability density is zero at x=0.300L, and x=0.400L;it is not zero at intermediate values of x. The electron then jumpsto the next lower energy level by emitting light.What is the changein the electron’s energy?
An electron confined to a box has an energy of 1.63 eV . Another electron confined to an identical box has an energy of 3.67 eV . What is the smallest possible length for those boxes? Express your answer with the appropriate units. L=
An electron is in a state withL=3. (a) What multiple of gives the magnitude of ? (b) What multiple of mBgives the magnitude of ? (c) What is the largest possible valueof , (d) what multiple of gives the corresponding value of Lz,and (e) what multiple of mB gives the corresponding value of morb,z?(f ) What is the value of the semiclassical angle u between the directionsof Lz and ? What is the value of angle u for (g) the secondlargest possible value of and (h) the smallest (that is, most negative)possible value of ?
A cubical box of widths Lx= Ly = Lz = L contains eight electrons.What multiple of h2/8mL2 gives the energy of the ground state of this system? Assume that the electrons do not interact with one another, and do not neglect spin.
What is the length of a one-dimensional box in which an electron in the n = 1 state has the same energy as a photon with a wavelength of 600 nm?
A neutral sodium atom has an ionization potential of 5.1 eV. What is the speed of a free electron that has just barely enough kinetic energy to collisionally ionize a sodium atom in its ground state? What is the speed of a free proton with just enough kinetic energy to collisionally ionize this atom?
. An electron in a long organic molecule used in a dye laser behave approximately like a particle in a box with width 4.18 nm. (a) What is the λ of the proton emitted when the electron undergoes a transition from the first excited level to the ground level. (b) What is the λ of the proton emitted when electron undergoes a transition from the second excited level to the first excited level?
The highest achievable resolving power of a microscope is limited only by the wavelength used; that is, the smallest item that can be distinguished has dimensions about equal to the wavelength. Suppose one wishes to “see” inside an atom. Assuming the atom to have a diameter of 100 pm, this means that one must be able to resolve a width of, say, 10 pm. (a) If an electron microscope is used, what minimum electron energy is required? (b) If a light microscope is used, what minimum photon energy is required? (c) Which microscope seems more practical? Why?
Light with wavelength ? = 635 nm is incident on a metallic surface. Electrons are ejected from the surface. The maximum speed of these electrons is v = 4.40 ✕ 105 m/s. a) What is the work function of the metal (in eV)? b) What is the cutoff frequency for this metal (in Hz)?