Get a little help here, please?



I am reading a book called "Optics" by M.H. Freeman (10th ed) and am
stumped by two of the problems in ch. 4 "Thin Lenses":

24. A thin converging lens of focal length f is used to form an image
of a luminous object on a screen. Determine the least possible
distance between object and screen.
Answer (from answer key): 67.08 cm

On this one, I just don't see how you can get to the answer without
knowing the value of f. And if the question means for any value of f,
then I would think the answer would be 0?


26. A thin biconvex lens having curvatures of 3 and 5 D and n = 1.62
is immersed in a large tank of water. An object is placed in the
water 1 m from the lens; what will be the position of the image if
that is also formed in the water?
Answer: 138.6 cm from lens

On this one, the solution seems straightforward, but the answer I get
doesn't match the book's answer.
Taking the refractive index of water = 1.334, I calculate the power at
the two surfaces to be .858 and 1.43, using the formula (n' - n) * R.
Then the power of the lens is 2.288, that is, F = F1 + F2.
Then applying the formula 1/l' = 1/l + 1/f', as follows:

1/l' = 1/-1 + 2.288
-----> 1/l' = 1.288
-----> l' = .776 m, or 77.6 cm.

Any help would be appreciated. I am doing this on my own time and not
for a class.

.



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