Find Focal Length of Mirror with 9.5 Magnification, 14mm from Object

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Homework Help Overview

The discussion revolves around determining the focal length of a mirror given a specific magnification of 9.5 and an object distance of 14mm. The subject area pertains to optics, specifically the behavior of mirrors and magnification relationships.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the magnification formula and the mirror equation to find the focal length, but questions the validity of their result based on the properties of image formation. Other participants suggest alternative equations and provide different focal length calculations, prompting further examination of the assumptions involved.

Discussion Status

The discussion is ongoing, with participants exploring different equations and interpretations of the problem. Some guidance has been offered through alternative formulas, but there is no explicit consensus on the correct focal length or the implications of the results obtained.

Contextual Notes

Participants are considering the implications of magnification and the relationship between object distance and image distance, particularly in relation to the characteristics of the mirror. There is an acknowledgment of the constraints posed by the properties of mirrors regarding magnification and image formation.

Ry122
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A mirror is required with magnification 9.5 when an object is 14mm from the mirror
What is the focal length

My attempt:
M=v/u
9.5=v/14
v=133

1/f = (1/v)+(1/u)
1/f=(1/133)+(1/14)
f=12.67

Since no object is magnified when the created image is outside of 2f
this answer can't be correct.
 
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The answer I get is 15.65.
 
2x15.65 is still less than 133
 

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