Jill puts her face in front of a convex mirror, 18 cm from the focal point of the mirror. If the focal point is located 12 cm from the mirror, where will her image appear?
A. 4 cm behind the mirror
B. 8 cm behind the mirror
C. 4 cm in front of the mirror
D. 8 cm in front of the mirror

Respuesta :

A. 4 cm behind the mirror
  For any mirror, sosi=f^2. Therefore, by plugging in the values, you get 18si=144. 144/18 = 8, so si=8
  The focal point is located 12 cm from the mirror, and si is the distance of the image from the focal point, so the image is 4 cm from the mirror. The mirror is convex, so then the focal point and the image are both behind the mirror.

Her image appear 4 cm behind the mirror. Option A is correct.

What is mirror equation?

A mirror equation is an equation that relates object distance and image distance to focal length.

The given data in the problem is;

Image distance (u) = ? cm

Object distance (v) =18  cm

f is the mirror's focal length =12

The equation is found as;

uv=f²

18 v=12²  

18 v=144

v= 8

The image is 4 cm from the mirror because the focus point is 12 cm away from the mirror. Because the mirror is convex, the focus point and image are both behind it.

Hence, option A is correct.

To learn more about the mirror equation refer to the link;

https://brainly.com/question/3229491

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