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Physics Lesson 12.8.8 - What If There Are More Than Two Curved Mirrors in the Same System?
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Welcome to our Physics lesson on What If There Are More Than Two Curved Mirrors in the Same System?, this is the eighth lesson of our suite of physics lessons covering the topic of Mirrors. Equation of Curved Mirrors. Image Formation in Plane and Curved Mirrors, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.
What If There Are More Than Two Curved Mirrors in the Same System?
In this case, the calculations are performed by considering the mirrors one by one. This means the image produced by the first mirror acts like an object for the second mirror and so on. The rules are the same as for a single curved mirror.
Example 3
: An object is placed between two mirrors - one concave and the other convex - which are 1.5 m apart from each other. The object is 40 cm in front of the concave mirror. If both mirrors have the same focal length equal to 30 cm, calculate the position of the second image produced on the convex mirror (i.e. the image produced on the convex mirror when the image on the concave mirror is considered as object for the convex mirror).
Solution 3
First, let's determine the position of the image produced in the concave mirror in respect to it. We have the following clues:
F1 = 30 cm
dî = ?
We have:
1/40 + 1/dî = 1/30
1/dî = 1/30 - 1/40
= 4/120 - 3/120
= 1/120
Therefore, the image produced in the concave mirror is 120 cm away from it. This means this image - which acts as an object for the convex mirror - is 150 cm - 120 cm = 30 cm before the convex mirror.
Given that in convex mirrors the focus is negative, we have the following clues for the second reflection:
F2 = - 30 cm
dî = ?
We have:
1/30 + 1/dî= - 1/30
1/dî= - 1/30 - 1/30
= - 2/30
= - 1/15
Note: The fraction - 2/30 is simplified to - 1/15. Thus, the second image is produced 15 cm after the convex mirror. Look at the figure.
You have reached the end of Physics lesson 12.8.8 What If There Are More Than Two Curved Mirrors in the Same System?. There are 8 lessons in this physics tutorial covering Mirrors. Equation of Curved Mirrors. Image Formation in Plane and Curved Mirrors, you can access all the lessons from this tutorial below.
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