Two coherent monochromatic light beams of intensities I and 4I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is xI. The value of x i s______.
Physics · Wave Optics · interferece of light and huygen principle
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Question

Two coherent monochromatic light beams of intensities I and 4I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is xI. The value of x i s______.

G1 Physics · Accepted Answer

Maximum intensity: I(max) = (√I + √(4I))² = (√I + 2√I)² = 9I Minimum intensity: I(min) = (2√I - √I)² = I Therefore: I(max) - I(min) = 8I Hence: x = 8