What is the focal length of a makeup mirror that produces a magnification of 1.50 when a person’s face is 12.0 cm away? Explicitly show how you follow the following steps. Step 1. First make sure that image formation by a spherical mirror is involved. Step 2. Determine whether ray tracing, the mirror equation, or both are required. A sketch is very useful even if ray tracing is not specifically required by the problem. Write symbols and known values on the sketch. Step 3. Identify exactly what needs to be determined in the problem (identify the unknowns). Step 4. Make a list of what is given or can be inferred from the problem as stated (identify the knowns). Step 5. If ray tracing is required, use the ray-tracing rules listed near the beginning of this section. Step 6. Most quantitative problems require using the mirror equation. Use the examples as guides for using the mirror equation. Step 7. Check to see whether the answer makes sense. Do the signs of object distance, image distance, and focal length correspond with what is expected from ray tracing? Is the sign of the magnification correct? Are the object and image distances reasonable?
Applications Of Reflection Of Light
When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.
Sign Convention for Mirrors
A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.
What is the focal length of a makeup mirror that
produces a magnification of 1.50 when a person’s face is
12.0 cm away? Explicitly show how you follow the following steps.
Step 1. First make sure that image formation by a spherical mirror is involved.
Step 2. Determine whether ray tracing, the mirror equation, or both are required. A sketch is very useful even if ray
tracing is not specifically required by the problem. Write symbols and known values on the sketch.
Step 3. Identify exactly what needs to be determined in the problem (identify the unknowns).
Step 4. Make a list of what is given or can be inferred from the problem as stated (identify the knowns).
Step 5. If ray tracing is required, use the ray-tracing rules listed near the beginning of this section.
Step 6. Most quantitative problems require using the mirror equation. Use the examples as guides for using the mirror
equation.
Step 7. Check to see whether the answer makes sense. Do the signs of object distance, image distance, and focal length
correspond with what is expected from ray tracing? Is the sign of the magnification correct? Are the object and image
distances reasonable?
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