A concave mirror has a focal length of 13 cm. The mirror forms an image located 40 cm in front of the mirror. What is the magnification of the mirror?
To find the magnification of a mirror, you can use the formula:
Magnification (m) = - (Image Distance / Object Distance)
In this case:
Object Distance (u) = -40 cm
Image Distance (v) = -40 cm - (-13 cm) = -40 cm + 13 cm = -27 cm
Substituting these values into the formula:
m = - (-27 cm) / (-40 cm)
m = 27 cm / 40 cm
m ≈ 0.675
Therefore, the magnification of the concave mirror is approximately 0.675.