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The periodic waves of intensities I₁ and I₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is:

1. I₁ + I₂
2. (√I₁ + √I₂)²
3. (√I₁ − √I₂)²
4. 2(√I₁ + √I₂)

Correct answer: (√I₁ + √I₂)²

Solution

The maximum intensity occurs when the waves interfere constructively, given by (√I₁ + √I₂)², and the minimum intensity occurs during destructive interference, given by (√I₁ − √I₂)². The sum of these is (√I₁ + √I₂)² + (√I₁ − √I₂)² = I₁ + I₂.

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