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(II) Use two techniques, (a) a ray diagram, and (b) the
Chapter 32, Problem 17P(choose chapter or problem)
Problem 17P
(II) Use two techniques, (a) a ray diagram, and (b) the mirror equation, to show that the magnitude of the magnification of a concave mirror is less than 1 if the object is beyond the center of curvature C (do > r), and is greater than 1 if the object is within C (do < r).
Questions & Answers
QUESTION:
Problem 17P
(II) Use two techniques, (a) a ray diagram, and (b) the mirror equation, to show that the magnitude of the magnification of a concave mirror is less than 1 if the object is beyond the center of curvature C (do > r), and is greater than 1 if the object is within C (do < r).
ANSWER:
Solution 17P:
We have to cross verify the value of magnification using ray diagram and mirror equation for two different location of the object.
Step 1 of 6
Concept:
Law of Reflection:Ray of lights always travels in a straight line and when it is incident on a mirror, then the angle of incidence is always equal to angle of reflection.Incident ray and reflected ray lie on the opposite side of the normal.
The point where the incident parallel rays come to a focus after reflection is called the focal point of the mirror. The distance from the center of the mirror to the focal point is called focal length, denoted by .
Distance of the object is measured by using the mirror equation, which is given as below:
…(1)
Here, Distance of the object from the pole
Distance of the image from the pole
Magnification is defined as the ratio of height image to the height of the object.
…(2)