# Homework Help: MCQ problem

1. Oct 30, 2007

### neelakash

1. The problem statement, all variables and given/known data

It is an MCQ problem:
How does the de Broglie wavelength λ associated with a particle compare to the size of the particle?
(A) λ must be greater than the particle
(B) λ must be less than he particle
(C) λ could be larger and smaller than the particle

2. Relevant equations

I have used de Broglie's relation and Uncertainty principle.

3. The attempt at a solution

∆x ∆p> h

or, ∆x>(h/∆p)~λ as ∆p~p and ∆x is the particle's size in crude terms...

Please check and tell me if I am correct

2. Oct 30, 2007

### clem

Use thet equation for the de Broglie wavelength, or just just use logic.
How could the de Broglie wavelength depend on the size of the particle?

3. Oct 30, 2007

### neelakash

It could depend possibly in the way I showed...
Think of high energy proton beam probing very fine structure...say of the order of picometer or fm

fm is the order of classical proton picture~ nuclear dimension...

It is a problem from Resnick Halliday and I do not find any reason to suspect this problem...