Question

The radius of curvature of a convex mirror is 60cm. If the image formed by the mirror is a quarter of the size of the object, what is the distance of the object from the mirror?

A) 15 cm
B) 30 cm
C) 45 cm
D) 60 cm

Answer 1

The distance of the object from the mirror is 4 cm.

Step-by-step explanation:

To find the distance of the object from the convex mirror, we can use the magnification formula:

Magnification (m) = -image height (hi) / object height ()

Given that the image is a quarter of the size of the object, the magnification is -1/4 (-0.25).

Using the formula, we can rearrange it to solve for the object distance: = -0.25 = 1 / -0.25 = -4 cm

Since distance cannot be negative, the absolute value is taken:

Object distance = |-4 cm| = 4 cm

The correct answer is D) 60 cm