Question

g A particle is trapped in a 20 nm wide infinite potential well. What is the wavelength of the particle corresponding to n

Answer 1

Question:

A particle is trapped in a 20 nm wide infinite potential well. What is the wavelength of the particle corresponding to n = 7 in nm?

Answer:

`\lambda_n = 5.71\ nm`

Step-by-step explanation:

Given

`L = 20nm` --- the width

`n = 7`

Required

Determine the wavelength (
`\lambda`)

This is calculated as:

`\lambda_n = (2L)/(n)`

Substitute values for L and n

`\lambda_n = (2*20nm)/(7)`

`\lambda_n = (40nm)/(7)`

`\lambda_n = (40)/(7)nm`

`\lambda_n = 5.71428571\ nm`

`\lambda_n = 5.71\ nm` --- approximated to 3 significant figures