Which of the following is correct for the two coherent light waves to produce zero light?

Incomplete.

To determine the conditions for two coherent light waves to produce zero light, we need to consider the concept of interference. Interference occurs when two or more waves interact with each other, resulting in constructive or destructive interference.

Constructive interference occurs when the peaks of one wave align with the peaks of the other wave, or when the troughs of one wave align with the troughs of the other wave. This results in increased amplitude and brighter light.

Destructive interference occurs when the peak of one wave aligns with the trough of the other wave. In this case, the waves cancel each other out, resulting in zero light.

Therefore, for two coherent light waves to produce zero light, the following condition must be met: the peaks of one wave must align with the troughs of the other wave, or vice versa.

In mathematical terms, if we denote the amplitudes of the two waves as A and B, the condition for destructive interference is that A = -B. This means that the two waves have equal amplitudes but opposite phases.

So, the correct answer is: The peaks of one wave align with the troughs of the other wave or vice versa, resulting in destructive interference and zero light.