Answer:
The object distance is 71.09 mm.
Explanation:
A camera lens used for taking close-up photographs has a focal length of 23.0 mm, f = 23 mm
The farthest it can be placed from the film is 34.0 mm, v = -34 cm
Using lens formula as follow :
[tex]\dfrac{1}{u}-\dfrac{1}{v}=\dfrac{1}{f}[/tex]
[tex]\dfrac{1}{u}=\dfrac{1}{f}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{23}+\dfrac{1}{(-34)}\\\\u=71.09\ mm[/tex]
So, object distance is 71.09 mm.