Mastering the Mirror Equation for Concave Mirrors in Physics 11

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To solve for the image location and height of an object at the center of curvature of a concave mirror, use the mirror equation 1/di + 1/do = 1/f. The center of curvature is twice the focal length, meaning if the object distance (do) is 2f, you can substitute this into the equation to find the image distance (di). The relationship between the focal length and object distance is crucial, as the focal length is not equal to the object distance. After solving for di, the magnification can be calculated to determine the height of the image. Understanding these relationships is key to mastering the mirror equation in physics.
leehom
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Use the mirror equation to find the image location and the height of an object placed at the centre of curvature of a concave mirror. Also find the magnification. Hint: What is the relation between the focal length and the object distance, do, for this situation?

I'm really confused about this question... Can someone please help me?
 
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What's the mirror equation? (It's the same as the thin-lens equation)

What's the relationship between the center of curvature and the focal point?
 
centre of curvature is half the focal point and the mirror equation is 1/di + 1/do = 1/f
 
but i still don't understand how that answers the question..
 
I was answering your other thread.

Center of curvature is not half the focal length, it's the other way 'round.

Center of curvature is twice the focal length. So focal length is "f" and the object distance is "2f." Do a little algebra and find the image.
 
Would the focal length be equal to the object distance?
 
leehom said:
Would the focal length be equal to the object distance?

No, try again. You're close.

But I have to go now, keep at it.
 
Okay, thnx for your help
 
All you have to do is substitute 2f = do into the equation you listed above and solve for di.
 
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