Object distance, image distance, and radius of curvature are ____ for curved mirrors.
interdependent
independent
directly related
unrelated
A
_________(__________
A B ( F
In the diagram shown above, the image of object A would be
(The diagram may be a bit confusing, so sorry. A and B should have an arrow above them pointing up.The two parentheses are supposed to be an uninterrupted curve, which would be a convex mirror. F is a point on the other side of the curved mirror.)
real, reduced, and upright.
virtual, enlarged, and upright
virtual, reduced, and inverted.
virtual, reduced, and upright.
D
Object distance, image distance, and radius of curvature are interdependent for curved mirrors.
To understand this, we can use the mirror equation, which relates these quantities:
1/f = 1/do + 1/di
Where:
- f is the focal length of the curved mirror
- do is the object distance (distance from the object to the mirror)
- di is the image distance (distance from the image to the mirror)
The radius of curvature (R) is related to the focal length by the equation:
R = 2f
Therefore, if we know the object distance and the radius of curvature, we can calculate the focal length using the equation:
f = R/2
Once we have the focal length, we can use the mirror equation to calculate the image distance:
1/f = 1/do + 1/di
So, as you can see, the object distance, image distance, and radius of curvature are all interdependent in curved mirrors. Changing one of these values will affect the others.