Chapter 10, Problem 10.23E

Interpretation Introduction

Interpretation:

The intensity of radioactive source at the same amount of time at a distance of $2.00\text{m}$ from the source is to be calculated.

Concept introduction:

Intensity of radiation is inversely proportional to the square of the distance of the surface from the radiation source, that is, $\text{I}\propto \raisebox{1ex}{$\text{1}$}\!\left/ \!\raisebox{-1ex}{$\text{d}$}\right.$, thus, the variation of intensity at two different positions is given below.

$\frac{{\text{I}}_x}{{\text{I}}_y}=\frac{{\text{d}}_y^{\text{2}}}{{\text{d}}_x^{\text{2}}}$

Where,

• ${\text{I}}_{\text{x}}$, represents the intensity at position $x$.

• ${\text{I}}_{\text{y}}$, represents the intensity at position $\text{y}$.

• ${\text{d}}_{\text{x}}^{\text{2}}$, distance at position $x$.

• ${\text{d}}_{\text{y}}^{\text{2}}$, distance at position $\text{y}$.