A candle 3.0cm tall is placed 24cm in front of a concave spherical mirror used in a tabletop makeup station. The manufacturer specifies the mirror’s focal length as 8.0cm. Assume the principal axis passes through the center of the candle’s flame.
(1) Calculate the distance between the mirror and the image of the candle. Express your answer with the proper algebraic sign and correct units.
(2) Determine the numerical value of the magnification and state its sign.
(3) Based on your results, describe whether the image is real or virtual, upright or inverted, and whether it is enlarged, reduced, or the same size as the object.