Question

A convex lens has a focal length of 8.00 cm. The image of a candle appears at a distance of 16.0 cm from the lens. Calculate the object distance.

Answer 1

Using the lens formula:

1/f = 1/di + 1/do

where:

f = focal length of the lens

di = image distance

do = object distance

We know that:

f = 8.00 cm

di = 16.0 cm

Substituting these values and solving for do, we get:

1/8.00 = 1/16.0 + 1/do

1/do = 1/8.00 - 1/16.0

1/do = 0.125 - 0.0625

1/do = 0.0625

do = 1/0.0625

do = 16.0 cm

Therefore, the object distance is 16.0 cm.