Question

An object measures 2 cm high above the axis of an optical system consisting of a 2 cm aperture stop and a thin convex lens of 5-cm focal length. The object is 10 cm in front of the lens and the stop is 2 cm in front of the lens. Determine the position and size of the entrance and exit pupils.

Answer 1

To determine the position and size of the entrance and exit pupils, you can use the lens formula and the magnification formula. Plug in the given values to find the position and size of the pupils.

Step-by-step explanation:

The position and size of the entrance and exit pupils can be determined using the formula:

(1/f) + (1/v) = (1/u)

Where:

• f is the focal length of the lens
• u is the object distance
• v is the image distance

In this case, the focal length of the lens is 5 cm, the object distance is 10 cm, and the image distance can be found using the lens formula. Plugging these values into the formula will give you the position of the entrance and exit pupils.

To find the size of the pupils, you can use the formula:

M = (h'/h) = (v/u)

Where:

• M is the magnification
• h' is the height of the image
• h is the height of the object

Again, plugging in the values will give you the size of the entrance and exit pupils.