The distance between an object and its image formed by a converging lens with a focal length of 72.4 cm, where the image is 2.54 times larger than the object, can be calculated using the lens formula and magnification equations. The relevant equations include magnification (m = -di/do) and the lens formula (1/di + 1/do = 1/f). By manipulating these equations, one can derive the distances needed to find the separation between the object and the image.
PREREQUISITESStudents studying optics, physics educators, and anyone interested in understanding the principles of lens mechanics and image formation.
caitg said:Homework Statement
How far apart are an object and an image formed by a 72.4 cm focal length converging lens if the image is 2.54x larger than the object and is real?
(in cm)
Homework Equations
m=-(di/do)
m=f/(f-do)
(1/di)+(1/do)=(1/f)
The Attempt at a Solution
I've tried manipulating these equations to find the distance, but either I don't come up with a reasonable value or I end up with too many variables.