Analysis of each statement:
i. False. Ciliary muscles adjust lens shape for focusing (accommodation). Light intensity regulation is by the iris and pupil.
ii. False. Myopia (nearsightedness) is corrected with diverging lenses. Converging lenses correct hyperopia (farsightedness).
iii. True. The pupil, an opening in the iris, controls light entry. It constricts in bright light and dilates in dim light.
iv. True. Relaxed ciliary muscles lead to a less curved lens, increasing focal length for distant object focus.
Conclusion: Statements iii and iv are correct.