Answer to Question #274548 in Optics for Chest

Question

1.    An object is 28 centimeters from the center of a silvered spherical glass Christmas tree ornament 4.0 cm in diameter. What is the focal length of the ornament? Is it a concave or convex mirror? Will the image be real or virtual? Will the image be upright or inverted? What are the position and magnification of its image? If the object is 3.0-meter-high, what is the height of the image?

 

Answer 1

$F=\frac R2=\frac d4=1.0~cm,$

convex, virtual.

$f=\frac{Fl}{l-F}=1~cm.$

$\Gamma=\frac fl=\frac 1{27}.$

$v=\frac{du}{4u+d}=3.8~cm.$