Question about concave mirrors

In summary: If you can't figure it out, post back and someone can help you.In summary, we have a concave mirror with a radius of curvature of 1.4 m that is illuminated by a candle located 3.4 m from the mirror's symmetry axis. To find the image of the candle, we can either use the di=do equation or do a ray tracing diagram. By considering various rays and their reflections, we can determine the location of the image. Using the correct equation from our notes or textbook, we can solve for the image distance and measure it off from our drawing.
  • #1
Aneadra
2
0

Homework Statement


A concave mirror with a radius of curvature
of 1.4 m is illuminated by a candle located on
the symmetry axis 3.4 m from the mirror.
Where is the image of the candle? Answer
in units of m.


Homework Equations





The Attempt at a Solution


I tried plugging in the numbers into the di=do equation but i think that's wrong out of this world.lol
 
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  • #2
Why do you feel the need to plug numbers into an equation? Why not do a ray tracing diagram and find out where the image is formed?

A ray from the bottom of the candle, situated on the axis of symmetry will be reflected back along that axis.
Then consider ray from the top of the candle parallel to the axis. Where will that ray be reflected?
Then consider a ray from the top of the candle passing through the focal point of the mirror. Where will that ray be reflected?
When you've done all that you'll know where the image is formed.Then measure off the answer from the drawing.
 
  • #3
Aneadra said:
I tried plugging in the numbers into the di=do equation but i think that's wrong out of this world.lol

Using an equation should work, and is in fact how many physics problems are solved. But you do need to use the correct equation.

do=di is wrong, since they are not necessarily equal to each other. Can you not find the correct equation in your notes or textbook? If not, look here:

https://www.physicsforums.com/library.php?do=view_item&itemid=148
A curved mirror acts like a lens, but you need to be careful about what you use for f.
 

FAQ: Question about concave mirrors

What is a concave mirror?

A concave mirror is a reflective surface that curves inward, creating a bulging shape. This type of mirror is also known as a converging mirror because it causes light rays to converge or come together at a specific point called the focal point.

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

A concave mirror curves inward, while a convex mirror curves outward. This results in different properties for the two types of mirrors. Concave mirrors can create magnified or inverted images, while convex mirrors always produce smaller, upright images.

How do concave mirrors work?

Concave mirrors work by reflecting light rays that strike the surface. The curvature of the mirror causes the light rays to converge at the focal point. The distance between the focal point and the mirror is known as the focal length, and it determines the properties of the image formed by the mirror.

What are some real-life applications of concave mirrors?

Concave mirrors are used in a variety of applications, including telescopes, headlights, and makeup mirrors. They are also used in solar energy systems to concentrate sunlight and create heat or electricity.

How can I calculate the focal length of a concave mirror?

The focal length of a concave mirror can be calculated using the formula f = R/2, where f is the focal length and R is the radius of curvature of the mirror. The radius of curvature is the distance between the center of the mirror and its curvature point. This formula assumes that the mirror has a spherical shape.

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