A dime is placed in front of a concave mirror that has aradius of curvature R =

Question

A dime is placed in front of a concave mirror that has aradius of curvature R = 0.15 m. The image of the dime isinverted and three times the size of the dime. Determine thedistance between the dime and the mirror.

a. 0.10 m
b. 0.038 m
c. 0.075 m
d. 0.15 m
e. 0.23 m A dime is placed in front of a concave mirror that has aradius of curvature R = 0.15 m. The image of the dime isinverted and three times the size of the dime. Determine thedistance between the dime and the mirror. 0.10 m 0.038 m 0.075 m 0.15 m 0.23 m

Explanation / Answer

Answer : a The focal length of the concave mirroris (f) =R/2                                                                 = 0.15/2                                                                  =0.075 The image distance is given by (v) = 3u The object distance is (v) =? Then the object distance is given by                         1/0.075 = 1/u +1/3u                          1/0.075 = 1/u (4/3)                                 u = 4*0.075/3                                     =0.3/3                                    = 0.10m

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