Could you walk me through how to go about the problem. I want to understand the

Question

Could you walk me through how to go about the problem. I want to understand the concept too. thanks

Several different combinations of mirrors and objects are given. Find the image location and the linear magnification for each mirror/object combination given. Also state whether the mirror is concave, convex, or plane for each.

Part A The object is located a distance 100 cm from the mirror and the mirror has a focal length of 25 cm. What is the image location? Part B The object is located a distance 100 cm from the mirror and the mirror has a focal length of 25 cm. What is the linear magnification? Give your answer to 2 significant figures. Part C The object is located a distance 100 cm from the mirror and the mirror has a focal length of 25 cm. Is the mirror concave, convex or plane?

2nd mirror:

Part D The object is located at the focal distance in front of a mirror which has f = -25 cm. What is the image location? Part E The object is located at the focal distance in front of a mirror which has f = -25 cm. What is the linear magnification? Give your answer to 2 significant figures. Part F. The object is located at the focal distance in front of a mirror which has f = -25 cm. Is the mirror concave, convex or plane?

3rd mirror

Part G The object is located a distance of 10 cm from the mirror which has a focal length of 25 cm. What is the image location? Part H The object is located a distance of 10 cm from the mirror which has a focal length of 25 cm. What is the linear magnification? Part I The object is located a distance of 10 cm from the mirror which has a focal length of 25 cm. Is the mirror concave, convex or plane?

Explanation / Answer

Part A)

do = object distance = 100 cm

f = focal length = 25 cm

di = image distance

using the mirror equation

1/do + 1/di = 1/f

1/100 + 1/di = 1/25

di = 33.33 cm

linear magnification is given as

m = - di/do = - 33.33 /100 = - 0.3333

since focal length is positive , the mirror is concave.

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