√ Definition of Convex Mirror, Special Rays, Properties of Shadows, Formulas & Example Problems
Definition of Convex Mirror, Special Rays, Properties of Shadows, Formulas & Example Problems – In this discussion we will explain about convex mirrors. Which includes the meaning of convex mirrors, the special properties of convex mirrors, the nature of convex mirror images, convex mirror formulas and examples of convex mirror problems with complete and easy-to-understand discussion. For more details, please see the review below carefully.
Definition of Convex Mirror, Special Rays, Properties of Shadows, Formulas & Example Problems
Let's discuss the meaning first carefully.
Definition of Convex Mirror
A convex mirror is a mirror that has a curved shape, which on the surface of the mirror that reflects the curved light out. Convex mirrors are diverging or scattering light because the light beam that comes on and hits the surface of the convex mirror will be reflected back at one point and spread out. Examples of convex mirrors in daily activities are like rearview mirrors on motorbikes or cars, and mirrors where there are T-junctions or crossroads.
Convex Mirror Special Rays
The special rays of a convex mirror include:
Rays incident parallel to the principal axis will be reflected as if from the focus
An incident ray towards R will be reflected back from R.
Rays coming from the direction of the focal point will be reflected parallel to the principal axis.
Properties of Convex Mirror Image
There are properties of convex mirror image, among others:
1. The nature of the image when the object distance is smaller than the focal length of the convex mirror (s < f), namely:
- Maya, meaning that the beam of light does not pass through the image because the image lies behind the convex mirror and is not inverted or upright.
- The farther the object is from the convex mirror, the smaller the image size will be. The farther the object is from the convex mirror, the farther the image is from the convex mirror.
2. The nature of the image if the object distance is equal to the focal length of the convex mirror (s = f), namely:
- Maya, meaning that the beam of light does not pass through the image because the image is behind the mirror.
- upright.
- Scaled down (shadow size 1/2 of object size).
- The image distance is smaller than the object distance (image distance is 1/2 of the object distance).
3. If the object distance is greater than the focal length and smaller than the radius of curvature of the convex mirror (f
- Maya, meaning that the light beam does not pass through the image because the image is behind the convex mirror.
- Upright or not upside down.
- Minimized (shadow size is smaller than object size).
- The farther the object is from the convex mirror, the farther the image is from the convex mirror.
4. If the object distance is equal to the radius of curvature of the convex mirror (s = R), then the nature of the image is:
- Maya, meaning that the light beam does not pass through the image because the image is behind the convex mirror.
- upright.
- Scaled down (shadow size 1/3 of object size).
- The image distance is smaller than the object distance (image distance is 1/3 of the object distance).
5. If the object distance is greater than the radius of curvature of the convex mirror ( s > R), then the nature of the image is:
- Maya, meaning that the light beam does not pass through the image because the image is behind a convex mirror.
- upright.
- Minimized (shadow size is smaller than object size).
- The image distance is smaller than the object distance (image is closer to the mirror, while the object is farther from the mirror).
Convex Mirror Formula
The formula for a convex mirror or convex mirror equation is as follows:
Information:
f = mirror focus
s = object distance from the mirror
s' = image distance
The formula for the magnification of the image on a convex mirror is as follows:
Information:
s = object distance from the mirror
s' = image distance
h' = image height
h = object height
Convex mirror example problem
An object is placed 50 cm in front of a convex mirror. The center point of the mirror curvature is 50 cm. Determine the distance of the image to the mirror and the magnification of the image!
Completion:
Is known:
s=50 cm
R= -50 cm
asked:
s' = ?
M = ?
Answer:
R=2f
f=R/2
f= -50 cm/2
f= – 25 cm
1/f = 1/s + 1/s'
1/s' = 1/f – 1/s
1/s' = (1/-25) – 1/50
1/s' = -2/50 – 1/50
1/s' = -3/50
s' = – 50/3
s' = – 16.67 cm
M = s'/s
M = 16.67 cm/50 cm
M = 0.33
Thus has been explained about Definition of Convex Mirror, Special Rays, Properties of Shadows, Formulas & Example Problems, hopefully can add to your insight and knowledge. Thank you for visiting and don't forget to read other articles.
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