Chapter 15, Problem 15A.9E

Interpretation Introduction

Interpretation:

The potential difference which is required for a proton accelerated to have a wave length of $\text{800}\text{pm}$ has to be determined.

Concept Introduction:

De Broglie’s equation:

  $\text{λ}\text{=}\frac{\text{h}}{\text{m}\text{×}\text{v}}\boxed{\begin{array}{l}\text{λ}\text{=}\text{wavelength}\\ \text{h}\text{=}\text{Plancks}\text{constant}\\ \text{m}\text{=}\text{mass}\text{of}\text{electron}\text{in}\text{kg}\\ \text{v}\text{=}\text{velocity}\end{array}}$

Momentum calculation:

  $\begin{array}{l}\text{p}\text{=}\sqrt{\text{2mqV}}\\ \\ \text{m}\text{-}\text{mass}\text{of}\text{the}\text{particle}\\ \text{q}\text{-}\text{Charge}\\ \text{V}\text{-}\text{Potential}\text{difference}\end{array}$