Finding image location with concave mirror

AI Thread Summary
To find the image location for a small object in front of a concave mirror, the focal length must first be calculated, which is half the radius of curvature. The correct formula to use is 1/do + 1/di = 1/f, where do is the object distance and di is the image distance. The radius of curvature is crucial for determining the focal length, and care must be taken with the equations used. Understanding these relationships is essential for solving the problem accurately. The discussion emphasizes the importance of using the correct formulas in optics.
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Homework Statement


A small object is located 32.0cm in front of a concave mirror with a radius of curvature of 40.9cm.
Where will the image be formed?


Homework Equations



tan(θ)=-h/di
f=1/2R?

The Attempt at a Solution



Haven't been able to solve for theta. I'm not sure what equation to use, but I'm guessing that the radius is important. Do I need to find the focal length?
 
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Yes, you need to find the focal length first. And, your textbook should have a formula that relates focal length to the positions of the object and image, that will be helpful here.
 
you do need to know the focal length. You have to be careful with equations. focal length =R/2 not...1/2R...do you see what I mean/
 
Ohhhh, I see. I use 1/do + 1/di = 2/R (which is the focal point, & the reason the difference is indicated). Thank you both!
 
Yes, that's the idea. You're welcome!
 
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