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Chapter 40: Q. 4 (page 1174)

What is the quantum number of the particle in FIGURE Q40.4? How can you tell?

Short Answer

Expert verified

The quantum number of the particle is6.

Step by step solution

01

Given Information

We need to find the quantum number of the particle.

02

Simplify

Now, find the quantum number of the particle on the picture.

therefore, n=6because there are six peaks.

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Most popular questions from this chapter

| FIGURE EX 40.3shows the wave function of an electron in a rigid box. The electron energy is25eV. How long is the box?

Showed that a typical nuclear radius is 4fm As you’ll learn in Chapter 42, a typical energy of a neutron bound inside the nuclear potential well isEn=-20MeV. To find out how “fuzzy” the edge of the nucleus is, what is the neutron’s penetration distance into the classically forbidden region as a fraction of the nuclear radius?

a. Determine the normalization constant A1for the n=1ground-state wave function of the quantum harmonic oscillator. Your answer will be in terms of b.

b. Write an expression for the probability that a quantum harmonic oscillator in its n=1ground state will be found in the classically forbidden region.

c. (Optional) Use a numerical integration program to evaluate your probability expression of part b.

A particle confined in a rigid one-dimensional box of length 10fmhas an energy level En=32.9MeVand an adjacent energy level En+1=51.4MeV.

a. Determine the values of n and n + 1.

b. Draw an energy-level diagram showing all energy levels from 1 through n + 1. Label each level and write the energy beside it.

c. Sketch the n + 1 wave function on the n + 1 energy level.

d. What is the wavelength of a photon emitted in the n+1→ntransition? Compare this to a typical visible-light wavelength.

e. What is the mass of the particle? Can you identify it?

The energy of an electron in a 2.00eVdeep potential well is 1.50eV. At what distance into the classically forbidden region has the amplitude of the wave function decreased to 25% of its value at the edge of the potential well?
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