How does de Broglie wavelength compare to particle size?

[neelakash]

Homework Statement

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

Homework Equations

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

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

 

[Meir Achuz]

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?

 

[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...