jpartdq said:Homework Statement
A concave mirror has a focal length of f=50 cm. If an object is at o=500cm, where is the image?
Homework Equations
1/f = 1/o + 1/i
The Attempt at a Solution
1/50 = 1/500 + 1/55.56
What I don't understand is "where is the image"? How do I interpret it from my solution?
The lens maker's formula is a mathematical equation used to calculate the image location of an object placed at a certain distance from a lens with a known focal length. It is expressed as 1/o + 1/i = 1/f, where o is the object distance, i is the image distance, and f is the focal length of the lens.
The image location is the distance between the lens and the image formed by the lens. It is an important factor in determining the quality and characteristics of the image, such as its size, orientation, and magnification.
The lens maker's formula is used in various fields such as optics, photography, and astronomy to calculate the image location and size of an object. It is also used in designing and manufacturing lenses for different purposes.
The lens maker's formula assumes that the lens is thin and has a symmetrical shape. It also assumes that the object distance is much larger than the focal length of the lens. These assumptions may not hold true in all situations, leading to errors in the calculated image location.
The lens maker's formula can be improved by taking into account the thickness and shape of the lens, as well as the effects of refraction and aberrations. More advanced formulas, such as the Abbe sine condition, have been developed to provide more accurate results in complex situations.