Solving Lens Image Problem: Where is Image Formed?

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Homework Help Overview

The discussion revolves around a lens image problem involving a convex mirror. The original poster presents a scenario where an object is placed in front of the mirror, and they are attempting to determine the location of the image formed.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a formula for image distance but questions the correctness of their calculations and the relationship between object height and focal length. Other participants provide insights into calculating the focal length of the convex mirror and raise questions about the necessity of using the object's height in the calculations.

Discussion Status

The discussion includes attempts to clarify the correct focal length and its application in the problem. Some participants have provided guidance on the focal length calculation, while the original poster expresses uncertainty about the relevance of the object's height.

Contextual Notes

There is a mention of potential confusion regarding the focal length and its relationship to the radius of curvature, as well as the role of the object's height in the calculations. The original poster's initial calculation appears to be based on an incorrect assumption about the focal length.

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An object 1.95 cm high is placed 11.2 cm in front of a convex mirror with a radius of curvature of 9.8 cm. Where is the image formed??

So i know Di= (Doxf)/(Do+f)...(11.2 x 9.8)/ (11.2 + 9.8) = 5.23 cm

However, the correct answer is 3.41 cm

What am i doing wrong here? I know that the 9.8 may not be the focal length but how do i relate the height to the focal length??
 
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Focal length of the convex mirror = R/2 = 9.8/2 = 4.9 cm.
 
do i even need to use the height of the object??...if so how?
 
nevermind i got it! thanks!
 

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