In Young's experiment, the interference pattern is found to have an intensity ratio between the bright and dark fringes as 9. What is the ratio of intensities and amplitudes of the two interfering waves, respectively? (A) 4,2 (B) 9,3 (C) 2.25,1.5 (D) None of thes
Question
In Young's experiment, the interference pattern is found to have an intensity ratio between the bright and dark fringes as 9. What is the ratio of intensities and amplitudes of the two interfering waves, respectively? (A) 4,2 (B) 9,3 (C) 2.25,1.5 (D) None of thes
Solution
In Young's experiment, the intensity of light is proportional to the square of the amplitude of the wave. The intensity ratio of 9:1 implies that the amplitude ratio is the square root of 9:1, which is 3:1. Therefore, the ratio of intensities of the two interfering waves is 9 and the ratio of amplitudes is 3. So, the correct answer is (B) 9,3.
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