1) A certain Christmas tree ornament is a silver sphere having a diameter of 8.4

Question

1) A certain Christmas tree ornament is a silver sphere having a diameter of 8.40 cm. Determine an object location for which the size of the reflected image is one-half the size of the object. Use a principal-ray diagram to arrive at a description of the image.

p= +_____________cm

2)A convex spherical mirror with a radius of curvature of 11.5 cm produces a virtual image one fourth the size of the real object. Where is the object?
_________ cm (from the mirror)

3)The top of a swimming pool is at ground level. If the pool is 2.30 m deep, how far below ground level does the bottom of the pool appear to be located for the following conditions?

The pool is filled halfway with water.
__________m below ground level

Explanation / Answer

magnification m = size of the image/size of the object = s'/s

-s'/s = 1/2

s' = -s/2

radius of curvature = 8.4/2 = 4.2 cm

1/s + 1/s' = -2/R

1/s - 2/s = -2/4.2

object distance s = 2.1 cm <<<------answer

================

2)

magnification m = size of the image/size of the object = s'/s

-s'/s = 1/4

s' = -s/4

radius of curvature = -11.5

1/s + 1/s' = -2/R

1/s - 4/(s) = -2/11.5

object distance s = 17.25 cm <<<------answer

=============

3)

s'/s = 1/1.33

s'/1.25 = 1/1.33

s' = 0.94 m

distance = 1.25 + 0.94 = 2.19 cm <<<---answer

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