Step 1: Understanding Nightblindness
- Nightblindness, also known as nyctalopia, is a condition where a person has difficulty seeing in low light or darkness. It is commonly caused by a deficiency of vitamin A, which is essential for proper vision, especially in low light.
Step 2: Analyzing the options
- (A) Vitamin A: Correct. Vitamin A is crucial for the production of rhodopsin, a protein in the retina that allows the eye to see in low-light conditions. A deficiency leads to nightblindness.
- (B) Vitamin C: Vitamin C is essential for immune function and collagen formation, but it is not linked to nightblindness.
- (C) Vitamin K: Vitamin K is involved in blood clotting and bone health, but it does not cause nightblindness.
- (D) Vitamin B\(_{12}\): Vitamin B\(_{12}\) is important for nerve function and blood cell production, but it does not cause nightblindness.
Step 3: Conclusion
Thus, the correct answer is (A) Vitamin A, as a deficiency in this vitamin causes nightblindness.
\[
\boxed{\text{Correct Answer: (A) Vitamin A}}
\]