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Chapter 5: Q96P (page 1157)

A camera with a 90-mm-focal-length lens is focused on an object 1.30 m from the lens. To refocus on an object 6.50 m from the lens, by how much must the distance between the lens and the sensor be changed? To refocus on the more distant object, is the lens moved toward or away from the sensor?

Short Answer

Expert verified

The distance is changed by 5.4mm towards the film to refocus an object 6.5m from the lens.

Step by step solution

01

Step 1:Relationship between object and image distance and height.

Object鈥檚 distance is s and image distance is s鈥�.

The relationship is 1s+1s'=1f

Object鈥檚 height is y and image height is y鈥�,

Therefore y'=-s'sy

02

Step 2:Calculation of the required change in the distance of the lens.

Using the relationship of distance between object and the image.

The first object

s'1=sfs-f=1300*901300-90)=96.7cm

The second object

s'2=sfs-f=6500*906500-90=91.3cm

Therefore the distance that is to be changed will be,

s'1-s'2=96.7-91.3=5.4mm

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