Q. 32

Expert-verified
Found in: Page 1176

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A particle confined in a rigid one-dimensional box of length has an energy level and an adjacent energy level . 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 transition? Compare this to a typical visible-light wavelength. e. What is the mass of the particle? Can you identify it?

here, and the energy diagram is given below.

Wavelength is not in visible range and the particle is seem to be proton.

See the step by step solution

## Part (a) step 1: Given information

We have given,

we have to find the value of n and n+1.

## Step 2: Simplify

Since the energy is one dimensional potential box is given by,

Divided the both equation

## Part (b) step 1: Given information

We have to draw the energy level diagram.

## Part (c) Step 1: Given information

We have to sketch the wave functions.

## Part (d) Step 1: Given information

We have to find the wavelength of the wave.

## Step 2: Simplify

We know that we can write,

Its is not a visible wavelength.

## Part (e) Step 1: Given information

We have to find the mass of the particle.

## Step 2: Simplify

Since,

This particle can be proton.