The object is located 0.1791 cm from the mirror.
Step-by-step explanation:
To find the location of the object, we can use the mirror equation:
f = R/2
Where f is the focal length of the mirror, and R is the radius of curvature. Since the mirror is convex, the focal length is positive and the image is virtual. We can use the magnification equation:
m = -di/do
Where di is the image distance and do is the object distance. Rearranging the equation, we have:
do = -di/m
Substituting the given values:
do = (-0.60 cm)/(2.01 cm/0.60 cm) = -0.60 cm/(3.35) = -0.1791 cm
Since the object distance cannot be negative, we take the absolute value:
do = 0.1791 cm
Therefore, the object is located 0.1791 cm from the mirror. Option C (18.3 cm) is the closest answer choice.
The probable question can be: In front of a spherical convex mirror of radius 22.2 cm, you position an object of height 2.01 cm somewhere along the principal axis. The resultant image has a height of 0.60 cm. How far from the mirror is the object located? (answers in cm)
a. 44.4
b. 33.9
c. 18.3
d. 26.1