Figure (a) shows the basic structure of a camera. A lens can be moved forward or

Question

Figure (a) shows the basic structure of a camera. A lens can be moved forward or back to produce an image on film at the back of the camera. For a certain camera, with the distance i between the lens and the film set at f = 5.30 cm, parallel light rays from a very distant object O converge to a point image on the film, as shown. The object is now brought closer, to a distance of p = 171 cm, and the lens-film distance is adjusted so that an inverted real image forms on the film (Figure (b)). (a) What is the lens-film distance i now (in cm)? (b) By how much (in cm) was distance i changed? a) Number Units b) Number Units

Explanation / Answer

a)

from thin lens formula

1/f =1/i +1/p

i=(1/f - 1/p)-1=(1/5.3 - 1/171)

i=5.47 cm

b)

the change in the lens-film distance is 5.47-5.3=0.17 cm

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