Find the distance between and object and its image

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To find the distance between an object and its image formed by a converging lens with a focal length of 72.4 cm, the magnification (m) is 2.54, indicating the image is real and larger than the object. The relevant equations include m = -(di/do) and (1/di) + (1/do) = (1/f). Users are encouraged to show their work for better assistance, as manipulating these equations can lead to confusion with too many variables. A ray trace is suggested as a helpful method to visualize the problem. Understanding these principles is crucial for solving the distance accurately.
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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.
 
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Hi caitg, welcome to PF.
Would you please show your work in detail?

ehild
 
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.

A simple ray trace will give you some guidance.
 
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