Given an x-radiation intensity of 225 microgray at 25 cm, what will the intensity be at 75 cm?

To determine the intensity of x-radiation at a different distance from the source, the inverse square law of radiation is applied. According to this principle, the intensity of radiation is inversely proportional to the square of the distance from the source.

When you increase the distance from the source, the intensity decreases in relation to the square of that distance. In this scenario, the initial intensity of 225 microgray is measured at 25 cm, and you want to calculate the intensity at 75 cm.

First, identify the ratio of the distances:

75 cm is three times greater than 25 cm (75 cm / 25 cm = 3). According to the inverse square law, the intensity decreases by the square of this ratio, meaning the intensity will be divided by (3^2) which is 9.

So, you take the initial intensity of 225 microgray and divide it by 9:

[

\frac{225 , microgray}{9} = 25 , microgray

]

This calculation shows that at a distance of 75 cm, the intensity of x-radiation will be 25 microgray.