Spherical Mirrors an ray diagram

In summary, the conversation discusses using a ray diagram to determine the location of an image created by a convex mirror when the object is placed at a certain distance. The relevant equations are also mentioned and the final solution is found to be -6.00 cm, which is confirmed to be correct through a calculation.
  • #1
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Homework Statement


When an object is located very far away from a convex mirror, the image of the object is 18 cm behind the mirror. Using a ray diagram drawn to scale determine where the image is located when the object is placed 9.0 cm in front of this mirror. Note that the mirror must be drawn to scale also. In your drawing, assume that the height of the object is 3.0 cm.

Homework Equations


hi/h0=[-di/d0=di-f/f] 1/di=1/f-1/di
di/d0=di/f-1 1/di+1/di=f

The Attempt at a Solution


d0=infinite
1/infinite+1/di=1/f
f=-18.0 cm

d0=9.00cm
1/9.00+1/di=1/-18
di=-18

-18/9=hi/3
hi= -6.00cm

?!but when I draw this it doesn't equal to -6cm
 
Last edited:
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  • #2
d0=9.00cm
1/9.00+1/di=1/-18
di=-18

Check this calculation.
 
  • #3
Yush! It worked! Thanks a bunch!
 

1. What is a spherical mirror?

A spherical mirror is a curved mirror with a spherical shape, meaning that it has the shape of a section of a sphere. This type of mirror is commonly used in telescopes, microscopes, and other optical devices.

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

A concave spherical mirror curves inward, meaning that it has a reflective surface on the inside of the curve. A convex spherical mirror curves outward, meaning that it has a reflective surface on the outside of the curve. The focal length and image produced by each type of mirror are different.

3. What is a ray diagram?

A ray diagram is a graphical representation of the path of light rays as they interact with a spherical mirror. It helps to visualize how light is reflected or refracted by the mirror and where the image appears.

4. How is the focal length of a spherical mirror determined?

The focal length of a spherical mirror is determined by the distance between the center of the mirror and its focal point. For a concave mirror, the focal length is half the radius of the mirror. For a convex mirror, the focal length is the same as the radius of the mirror.

5. What are the three types of images produced by a spherical mirror?

The three types of images produced by a spherical mirror are real, virtual, and inverted. A real image is formed when light rays converge and can be projected onto a screen. A virtual image is formed when light rays appear to converge, but do not actually intersect and cannot be projected. An inverted image is formed when the top and bottom of the object are switched in the image.

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