Question

In: Physics

A conduction electron is confined to a metal wire of length 13.2 cm. By treating the...

A conduction electron is confined to a metal wire of length 13.2 cm. By treating the conduction electron as a particle confined to a one-dimensional box of the same length, find the energy spacing between the ground state and the first excited state. Give your answer in eV.

Expert Solution

Here, we have to consider a conduction electron as a particle confied to one-dimensional box of length to a metal wire.

So, we know mass of the electron ( m ) =

Length of the box ( L ) = 13.2 cm = 0.132 m

The Energy of the particle in a one-dimensional box is given by,

,

where h is the planck constant,

n is the energy state level

m is the mass of the particle

L is the length of the box

For the given situtation state energy can be given as,

For the ground state, n=1 and for the first excited state, n=2

So, and

Energy spacing between the ground state and the first excited state,

,

genius_generous answered 1 year ago

An electron and a proton are both confined in boxes of length a. Measurements are made...

An electron and a proton are both confined in boxes of length a. Measurements are made on the momentum and speed of both particles. Which statement is true about the precision of these measurements a)The electron’s momentum can be measured more precisely than the proton’s momentum b)The proton’s momentum can be measured more precisely than the electron’s momentum c)The electron’s speed can be measured more precisely than the proton’s speed d)The proton’s speed can be measured more precisely than the...

How does the length of the wire affect the conduction of electricity? How is this problem...

How does the length of the wire affect the conduction of electricity? How is this problem dealt with in biological systems such as long nerves (eg nerves that have to reach to your toes)?

There are three dominant metal additive manufacturing approaches: laser powder sintering, plasma metal wire, and electron...

There are three dominant metal additive manufacturing approaches: laser powder sintering, plasma metal wire, and electron beam metal wire. Construct a table that compares the three with respect to: breadth of materials that can be processed, quality of processed material, and scalability.

A piano wire with mass 2.60g and length 84.0 cm is stretched with a tension of...

A piano wire with mass 2.60g and length 84.0 cm is stretched with a tension of 25.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. Calculate the average power carried by the wave. What is the average power if the wave amplitude is halved?

A wire of length 30 cm is cut into 2 pieces which are then bent into...

A wire of length 30 cm is cut into 2 pieces which are then bent into the shape of a circle of radius r and an equilateral triangle with side length s. Find the value of r which minimizes the total area enclosed by both shapes

A wire with a radius R = .89 mm and length 45 cm is made of...

A wire with a radius R = .89 mm and length 45 cm is made of two materials, Carbon and Nichrome (resistivity not given I assume it needs to be googled). The Carbon portion is 15 cm long. The temperature of the wire is 75 oC. The wire is connected to a 12 volt battery. a) Find the total Resistance of the battery as well as the current (I) and the current density (J) and the electric field (E) in...

A square loop of wire with sides of length 34 cm is in a uniform magnetic...

A square loop of wire with sides of length 34 cm is in a uniform magnetic field perpendicular to its area. Part A If the field's strength is initially 110 mT and it decays to zero in 0.011 s , what is the magnitude of the average emf induced in the loop? Part B What would be the average emf if the sides of the loop were only 17 cm ? Express your answer using two significant figures.

A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω...

A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω is inside a 1.00m long solenoid with 1000 windings such that the plane of the loop is perpendicular to the solenoid’s magnetic field. The solenoid initially carries a current I = 6.0 A, which is turned down to zero evenly over a period of 12.0 s. If the solenoid’s initial magnetic field is out of the page in the figure, what is the magnitude...

1) An electron passes through a point 3.15 cm from a long straight wire as it...

1) An electron passes through a point 3.15 cm from a long straight wire as it moves at 33.9% of the speed of light perpendicularly toward the wire. The wire carries a current of 18.9 A. Find the magnitude of the electron's acceleration at that point. acceleration:____________ m/s2 2) A beam of protons is directed in a straight line along the positive ?‑direction through a region of space in which there are crossed electric and magnetic fields. If the electric...

An electron is confined in a 3.0 nm long one dimensional box. The electron in this...

An electron is confined in a 3.0 nm long one dimensional box. The electron in this energy state has a wavelength of 1.0 nm. a) What is the quantum number of this electron? b) What is the ground state energy of this electron in a box c) What is the photon wavelength that is emitted in a transition from the energy level in part a to the first excited state?