Solving Lens Makers Formula: Image Location @ 500cm o, f=50cm

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The discussion centers on calculating the image location for a concave mirror with a focal length of 50 cm and an object distance of 500 cm. Using the lens maker's formula, the calculation yields an image distance of approximately 55.56 cm from the mirror. This indicates that the image is formed on the same side as the object but much closer to the mirror. The interpretation of the solution clarifies that the image is real and inverted, positioned at 55.56 cm from the mirror's surface. Understanding this calculation is essential for solving similar optics problems.
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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?
 
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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?

You have found the value of 1/i =1/55.56 therefore i=55.56 in other words the image is 55.56 cm from the mirror.
 

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