How Do You Calculate the Radius of Curvature for a Mirror?

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In summary, the conversation discusses the concept of radius of curvature in relation to mirrors. The participants are trying to determine the radius of curvature based on the magnification and distance from the mirror. They also mention the relationship between radius of curvature and focal length.
  • #1
Huskies213
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:confused: Can anyone explain what i am doing wrong?
I thought the radius of curvature is 2 x the distance from mirror..

A mirror produces an image magnified by 1.5 when your face is 29 cm from the mirror. What is the radius of curvature?

I thought it would be .29m x 2 = .58m... but that is wrong.. can anyone help?!?
 
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  • #2
The radius of curvature of a mirror is a statement about the shape of the mirror. Does a mirror change shape when you move to different distances from it?
 
  • #3
RE mirrors

no the mirror doesn't change shape when you move distances from it. the image does... *more hints ...im still lost...
 
  • #4
You need to work out the Radius of Curvature from the magnification.

Also, Radius of Curvature = 2 x the focal length (f) - so if you can figure out f, then you can figure out the radius of curvature quite easily.

Claude.
 

Related to How Do You Calculate the Radius of Curvature for a Mirror?

1. What is the radius of curvature of a mirror?

The radius of curvature of a mirror is the distance between the center of curvature and the surface of the mirror. It is denoted by the letter "R" and is measured in units of length, such as meters or centimeters.

2. How is the radius of curvature related to the focal length of a mirror?

The radius of curvature is directly related to the focal length of a mirror. The focal length is half the radius of curvature, so they have the same numerical value but with opposite signs. This means that a mirror with a shorter radius of curvature will have a shorter focal length, and vice versa.

3. What is the difference between a concave and convex mirror in terms of radius of curvature?

A concave mirror has a radius of curvature that is positive, meaning that the center of curvature is in front of the mirror. On the other hand, a convex mirror has a negative radius of curvature, indicating that the center of curvature is behind the mirror.

4. How does the radius of curvature affect the image formed by a mirror?

The radius of curvature of a mirror determines the size and position of the image formed. A shorter radius of curvature will result in a smaller and more magnified image, while a longer radius of curvature will produce a larger and less magnified image.

5. Can the radius of curvature of a mirror be changed?

Yes, the radius of curvature can be changed by altering the shape of the mirror. For example, a concave mirror can be made more curved by pushing on the center of its surface, which decreases the radius of curvature. Similarly, a convex mirror can be made less curved by pulling on the center of its surface, increasing the radius of curvature.

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