Answer:
Step-by-step explanation:
Step 1: Calculate the magnification of the telescope. The magnification of a telescope is given by the ratio of the focal length of the objective lens to the focal length of the eyepiece lens. In this case, the focal length of the objective lens is 100 cm, and the focal length of the eyepiece lens is 2.50 cm. Magnification = (Focal length of objective) / (Focal length of eyepiece) Magnification = 100 cm / 2.50 cm Magnification = 40 Step 2: Determine the average angular diameter of the Moon. The Moon's angular diameter varies between 29' 21" and 33' 30". To simplify the problem, let's take the average of these two values. Average angular diameter = (29' 21" + 33' 30") / 2 Average angular diameter = (29.35' + 33.5') / 2 Average angular diameter = 31.425' Step 3: Convert the average angular diameter to degrees. 1 degree = 60 arcminutes, so we need to convert the average angular diameter from arcminutes to degrees. Average angular diameter (in degrees) = 31.425' / 60 Average angular diameter (in degrees) = 0.52375° Step 4: Calculate the angular diameter of the Moon as seen through the telescope. To find the angular diameter of the Moon when viewed through the telescope, we need to multiply the average angular diameter by the magnification of the telescope. Angular diameter through telescope = (Average angular diameter) × (Magnification) Angular diameter through telescope = 0.52375° × 40 Angular diameter through telescope = 20.95°