An object is located at a distance of 101 cm from a concave mirror of focal leng

Question

An object is located at a distance of 101 cm from a concave mirror of focal length 21.1 cm. Another concave mirror of focal length 6.61 cm is located 21.1 cm in front of the first concave mirror. The reflecting sides of the two mirrors face each other. Assume the second mirror is partially silvered so that the light rays from the object go through it, reflect from the first mirror, and then reflect from the second mirror.


a) What is the location of the final image formed by the two mirrors? Give your answer in terms of the distance from the second mirror.


b) What is the total magnification by the combination?

Explanation / Answer

first find di of M1. di=(101*21.1)/(101-21.1)=26.672 Using image of 1st M1 as object for second, 1/do=1/f-(-1/di) di=26.672-21.1 di=5.572 so do=3.023cm (ans) part B: Mtotal=M1*M2 M1=26.672/101=.264 M2=3.023/5.572=.0543 Mt=-.0143

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