Final answer:
The inverse square law for radiation states that the intensity of a radiation source decreases as the distance from the source increases. To find the exposure at 180 cm, we can use the inverse square law formula.
Step-by-step explanation:
The inverse square law states that the intensity of a radiation source decreases as the distance from the source increases. This can be expressed mathematically as:
I1 / I2 = (D2 / D1)²
In this case, the exposure at 90 cm is 400 mR, and we want to find the exposure at 180 cm.
Using the inverse square law formula, we have:
400 mR / X = (180 cm / 90 cm) ²
X = 400 mR * (90 cm / 180 cm)².