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Two periodic waves of intensities `I_(1)` and `I_(2)` pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is:A. `I_(1) + I_(2)`B. `(sqrt(I_(1)) + sqrt(I_(2)))^(2)`C. (c ) `(sqrt(I_(1)) - sqrt(I_(2)))^(2)`D. `2(I_(1) + I_(2))` |
Answer» Correct Answer - D In interference, resultant intensity is `I = I_(1) + I_(2) + 2sqrt(I_(1)I_(2)) cos phi` `I_(max) = I_(1) + I_(2) + 2sqrt(I_(1)I_(2)) cos 0^(@)` `= I_(1) + I_(2) + 2sqrt(I_(1)I_(2))` `I_(min) = I_(1) + I_(2) + 2sqrt(I_(1)I_(2)) cos 180^(@)` `= I_(1) + I_(2) - 2sqrt(I_(1)I_(2))` `I_(max) + I_(min) = 2 (I_(1) + I_(2))` |
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