Our eyes respond to wavelength ranging from (A) \(400 \mathrm{~nm}\) to \(700 \mathrm{~nm}\) (B) \(-\infty\) to \(+\infty\) (C) \(1 \mathrm{~mm}\) to \(700 \mathrm{~nm}\) (D) \(700 \mathrm{~nm}\) to \(800 \mathrm{~nm}\)

Visible light is a part of the electromagnetic spectrum and corresponds to a certain range of wavelengths. The visible light spectrum ranges from \(400 \mathrm{~nm}\) (violet) to \(700 \mathrm{~nm}\) (red).

Now, let's go through each option and decide if it matches the correct range of wavelengths to which our eyes respond: (A) \(400 \mathrm{~nm}\) to \(700 \mathrm{~nm}\): This option corresponds to the visible light spectrum, which is the range of wavelengths to which our eyes respond. (B) \(-\infty\) to \(+\infty\): This option represents an infinite range of wavelengths, which is not specific to visible light. Our eyes cannot respond to an infinite range of wavelengths. (C) \(1 \mathrm{~mm}\) to \(700 \mathrm{~nm}\): This option includes wavelengths beyond the visible light spectrum, which are not detected by the human eye. (D) \(700 \mathrm{~nm}\) to \(800 \mathrm{~nm}\): This option represents a range of wavelengths within the infrared region, which is not part of the visible light spectrum and cannot be detected by the human eye.

Option (A) represents the visible light spectrum, which is the range of wavelengths to which our eyes respond. Therefore, the correct answer is (A) \(400 \mathrm{~nm}\) to \(700 \mathrm{~nm}\).