where B is the image size and G is the object size.
By transforming we obtain the lens formula
1. From the values of b and g measured in Problem 1 we calculate
ƒ, the average value of ƒ and its standard deviation. For
the first lens (100 mm) ƒ1 was 100.2 mm with a standard deviation
sf1
of 0.6 mm; for the second (50 mm), ƒ2 was 53.1 mm
with a standard deviation sf2
of 0.9 mm. (The focal lengths
marked on the lenses have a tolerance of ±5%.)
2. Since gI = bII (the object distance in case I = image distance
in case II) and since bI = gII ,