Final answer:
Under the influence of Diazepam, a person will usually have dilated pupils. Diazepam is a central nervous system depressant that can cause pupil dilation similarly to how pupils naturally dilate in dark conditions to allow more light in.
Step-by-step explanation:
Someone under the influence of Diazepam will typically have dilated pupils. Diazepam is a medication that belongs to a class of drugs known as benzodiazepines, which are central nervous system depressants. These medications can cause the pupils to dilate as they reduce the responsiveness of the nervous system. Normal pupil diameter in broad daylight is about 3 mm, and in darkness, it expands to approximately 7 mm to allow more light in. This pupil dilation in the dark is a natural response to help us see better, but drug influence can cause similar effects regardless of lighting conditions.
The amount of light the pupil can gather when it is dilated as compared to when it is constricted is significant. If we consider the area of the pupil, which is a circle, the area can be calculated using the formula A=πr², where 'r' is the radius of the pupil. Therefore, when the pupil dilates from 3 mm to 7 mm in diameter, the radius changes from 1.5 mm to 3.5 mm. The increase in area, and therefore the increase in light that can be gathered, is proportional to the square of the change in radius.