Final answer:
The magnification of the Newtonian telescope with a primary mirror focal length of 4 m and an eyepiece focal length of 25 mm is 160.
Step-by-step explanation:
Calculation of Telescope Magnification
The magnification of a Newtonian telescope is determined by the ratio of the focal lengths of the telescope's objective (primary mirror) and the eyepiece. Using the provided dimensions, the focal length of the primary mirror is 4 meters, and the eyepiece has a focal length of 25 mm. To find the magnification, divide the focal length of the primary mirror by the focal length of the eyepiece.
Magnification = Focal Length of Primary Mirror / Focal Length of Eyepiece = 4000 mm / 25 mm
Therefore, the magnification of the telescope is 160.
The optical diameter of the eyepiece does not affect the calculation of magnification but is relevant to the amount of light that can pass through and the field of view.