What is the position of an image in a curved mirror if the object is 25cm from the concave mirror with a focal length of 5 cm?
Using the mirror formula:
1/f = 1/d0 + 1/di
Where:
f = focal length = -5 cm (negative because it is a concave mirror)
d0 = object distance = 25 cm
di = image distance
Plugging in the values:
1/-5 = 1/25 + 1/di
Solving for di:
1/di = 1/-5 - 1/25
1/di = (-5 - 1)/(-25)
1/di = -6/-25
di = 25/6 cm
Therefore, the position of the image in the curved mirror is approximately 4.2 cm (rounded to one decimal place) from the mirror surface along the principal axis.