Radius & Focal Length of Concave/Convex Mirrors: Formula & Answers

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In summary, the formula for calculating the radius of a concave/convex mirror is R = 2f, where R is the radius and f is the focal length. The focal length of a concave/convex mirror can be determined by measuring the distance from the center of the mirror to the focal point. A concave mirror curves inward, while a convex mirror curves outward. The radius of a concave/convex mirror affects the size and orientation of the image formed, with a shorter radius producing a larger and upright image and a longer radius producing a smaller and inverted image. Both the radius and focal length of a concave/convex mirror can be negative, indicating a concave or convex mirror with an inverted image
  • #1
rhxoehwhfh
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A concave mirror has a focal length of 26 cm. What is the radius of curvature of the mirror?

and also

The radius of curvature of a convex mirror is 60 cm. What is the focal length of the mirro?

Can anyone tell me the formula for finding each of the answer?...
 
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  • #2
R has always the absolute value of 2f.
 
  • #3
what is R and what is 2f , can you specify it for me please..
 
  • #4
R is the radius of curvature anf f is the focal length.
 
  • #5
so formula for this is R=2f?
 
  • #6
Yes.
 

Related to Radius & Focal Length of Concave/Convex Mirrors: Formula & Answers

1. What is the formula for calculating the radius of a concave/convex mirror?

The formula for calculating the radius of a concave/convex mirror is R = 2f, where R is the radius and f is the focal length.

2. How do you determine the focal length of a concave/convex mirror?

The focal length of a concave/convex mirror can be determined by measuring the distance from the center of the mirror to the focal point. This can be done by placing an object in front of the mirror and moving it until a clear, focused image is formed on the other side of the mirror. The distance between the object and the mirror is equal to the focal length.

3. What is the difference between a concave and convex mirror?

A concave mirror curves inward, meaning the reflective surface is on the inner side of the curve. This type of mirror reflects light inward, creating an enlarged and upright image. A convex mirror curves outward, meaning the reflective surface is on the outer side of the curve. This type of mirror reflects light outward, creating a smaller and upright image.

4. How does the radius of a concave/convex mirror affect the image formed?

The radius of a concave/convex mirror affects the size and orientation of the image formed. A shorter radius (smaller mirror) will produce a larger and upright image, while a longer radius (larger mirror) will produce a smaller and inverted image.

5. Can the radius and focal length of a concave/convex mirror be negative?

Yes, both the radius and focal length of a concave/convex mirror can be negative. A negative radius indicates a concave mirror, while a negative focal length indicates a convex mirror. This can occur when the mirror is curved in the opposite direction, resulting in an inverted image.

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