When interference of light waves takes place           

When interference of light waves takes place, the conservation of energy still holds true, but the energy distribution can vary due to constructive and destructive interference.

Interference occurs when two or more light waves overlap in space and combine to form a new resultant wave pattern. This can lead to regions of constructive interference, where the waves reinforce each other and create brighter or more intense regions, and regions of destructive interference, where the waves cancel each other out and create darker or less intense regions.

Conservation of energy dictates that the total energy before and after interference remains constant. However, how the energy is distributed in space can change due to interference. When waves interfere constructively, their amplitudes add up, resulting in regions of higher intensity and energy compared to the individual waves. Conversely, when waves interfere destructively, their amplitudes can cancel out, leading to regions of lower intensity and energy.