Let us analyze the two statements:
Statement (A): In VIBGYOR, wavelength increases from violet to red. This statement is correct. In the visible spectrum (VIBGYOR: Violet, Indigo, Blue, Green, Yellow, Orange, Red), the wavelength of light increases as we move from violet (shortest wavelength) to red (longest wavelength).
Statement (B): In VIBGYOR, refractive index increases from violet to red. This statement is incorrect. The refractive index of a medium depends on the wavelength of light, and it decreases as the wavelength increases. Since violet light has a shorter wavelength than red light, the refractive index is higher for violet light and lower for red light.
Final Answer: The correct answer is \( \mathbf{\text{(A) only}} \).