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?

Answer 1

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.