Question: Which has the lowest (ground-state) energy, an electron trapped in a one dimensional box of length 10-6 m or one with length 10-10 m?

Which has the lowest (ground-state) energy, an electron trapped in a one dimensional box of length 10-6 m or one with length 10-10 m?

Step by Step Solution

★★★★★

3.53 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

E n n 1 for ground state from equation as L incre... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

442-E-C-E-A-C (37).docx

120 KBs Word File

Students Have Also Explored These Related Chemical Engineering Questions!

Q:

Suppose that an electron trapped in a one-dimensional infinite well of width 250 pm is excited from its first excited state to its third excited state. (a) What energy must be transferred to the...

Q:

An experimental transistor uses a single electron trapped in a channel 6.6 nm wide. Whats the minimum kinetic energy this electron could have, consistent with the uncertainty principle? Give your...

Q:

Figure gives the energy levels for an electron trapped in a finite potential energy well 450eV deep. If the electron is in the n = 3 state, what is its kineticenergy? -Nonquantized - Top of well 450...

Q:

Which has the lowest ( ground - state ) energy, an electron trapped in a one - dimensional box of length 1 0 $ 6 m or one with length 1 0 $ 1 0 m ?

Q:

The wave nature of particles results in the quantum mechanical situation that a particle confined in a box can assume only wavelengths that result in standing waves in the box, with nodes at the box...

Q:

1. In the quantum particle-in-box model, the electrons are confined to a one dimensional box of length, L. The energy levels are given by the formula, En=8mL2n2h2 where n=1,2,3,. Below is a picture...

Q:

please help me solve these questions, the teacher included the final answer in the screenshots but I want the steps for it so I can understand how they got the final answer ( that's all screenshot so...

Q:

EXERCISE 2.10: We have now plotted energy level dia- grams for several systems (hydrogen atom, vibrating dia- tomic molecules, and rotating diatomic molecules) in this chapter. Make such an energy...

Q:

can i get help with the answer with the values Experiment 2.1 Absorption Spectrum of a Conjugated Dye Introduction is well known that comedy have ahsario hands at logger and longer wavelengths is the...

Q:

According to one simple model, the lowest energy electrons of the nanotube are deseribed by the wavefunction sinx/L, where L is the length of the nanotube Find the normalized wavefunction for a...

Q:

Show that the image of the right half plane Re (z) = x > 1 under the linear transformation w = (-1 + i) z 2+3 i is the half plane v > u + 7.

Q:

When potential workers apply for a job that requires extensive manual assembly of small intricate parts, they are initially given three different tests to measure their manual dexterity. The ones who...

Q:

9.82 In addition to the sample size n, what population value(s) must be known to find a standardized score for a sample proportion p^ ?

Q:

How important do you think each of these elements of the commercial is to the campaigns success: music, actors, dialog, setting, tone?

Q:

Without doing a calculation, order the following gases according to increasing mass density: NO, NO 2 , N 2 O. The temperature and pressure are the same for all three samples.

Q:

Metals with bcc structures, such as tungsten, are not close packed. Therefore, their densities would be greater if they were to change to a ccp structure (under pressure, for instance). What would...

Q:

Estimate the density of each of the following solids from the ionic radii given in Fig. 1F.6: (a) Calcium oxide (rock-salt structure, Fig. 3H.28); (b) Cesium bromide (cesium- chloride structure, Fig....

Q:

A contribution income statement for the Nantucket Inn is shown below. (Ignore income taxes.) Revenue $ 2,150,000 Less: Variable expenses 1,160,000 Contribution margin $ 990,000 Less: Fixed expenses...

Q:

Tweety has a portfolio worth a total of $76,000 with $13,800 in stock A;$48,600 in stock B; $8,400 in stock C ; and remaining amount in a risk-free treasury bills. The beta of stock A is 1.21 and...

Q:

A market research company is comparing two populations. The two independent samples drawn from the different populations. The first has a sample size of 69, a sample mean of 20.1 and a sample...