An object is located 25.0 cm from a convex mirror. The image distance is -50.0 cm. What is the magnification?
An object is located 25.0 cm from a convex mirror. The image distance is -50.0 cm. What is the magnification?
Answer: To find the magnification of an image produced by a convex mirror, you can use the magnification formula related to mirrors:
m = \frac{v}{u}
where:
- (m) is the magnification.
- (v) is the image distance (which is negative for convex mirrors).
- (u) is the object distance (which is positive when the object is placed in front of the mirror).
Given:
- (u = 25.0 , \text{cm})
- (v = -50.0 , \text{cm})
Substitute these values into the magnification formula:
m = \frac{v}{u} = \frac{-50.0 \, \text{cm}}{25.0 \, \text{cm}} = -2.0
The magnification (m) is (-2.0). This negative value indicates that the image formed by the convex mirror is inverted relative to the object, and the magnitude (absolute value) of 2.0 indicates that the image size is twice as large as the object size.
Therefore, the magnification of the image produced by the convex mirror is (\boxed{-2.0}).