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Unformatted text preview: Concave Mirror 1 A concave spherical mirror is in air as shown in the attached ﬁgure. The radius of
curvature of the mirror is ~100 mm. The negative sign indicates that the light incident from the left encounters a concave surface. A vertical planar object exists to the left of the mirror. The object is moved such
that it is sequentially located at ﬁve different positions in this lefthand region. The dis-
tances from the vertex of the mirror to the object are given below. A point on the ob-
ject is located 50 mm above the axis of the optical system. Calculate, showing all work,
the location of the image along the optical axis to the left or to the right of the mirror
for each of the ﬁve cases. Calculate, showing all work, the location of the image point
above or below the optical axis for each of the ﬁve cases. Express your answers in mm.
For the image distance, indicate whether it is left or right of the mirror. For the image point, indicate whether it is above or below the optical axis. On the attached sheet, for each of the ﬁve cases, prepare a ray trace diagram that
incorporates l) the parallel ray (propagates from object parallel to the optical axis), 2)
the chief ray (propagates from object toward the center of curvature), and 3) the focal ray (propagates from object toward the focal point). Let the spacing between tick marks be 50 mm.
Distance Distance Distance
along axis left or right along axis left or right from axis above or below
(mm) (mm) (mm)
25 left 10 left ...
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- Spring '08