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Each of four pairs of light waves arrive...

Each of four pairs of light waves arrives at a certain point on a screen. The waves have the same wavelength. At the arrival point, their amplitudes and phase differences are (a) `2E_(0),6E_(0)`, and `pi` rad, (b) `3E_(0), 5E_(0)`, and `pi` rad, (c) `9E_(0), 7E_(0)` and `3pi` rad, (d) `2E_(0), 2E_(0)` and 0 rad. Rank the four pairs according to the intensity of the light at the arrival point, greatest first. (Hint: Draw phasors.)

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AI Generated Solution

To solve the problem of ranking the intensity of light at a certain point on the screen for the four pairs of light waves, we will use the principle of superposition and the formula for the resultant amplitude when two waves interfere. The intensity of light is proportional to the square of the resultant amplitude. ### Step-by-Step Solution: 1. **Understanding the Problem**: We have four pairs of light waves characterized by their amplitudes and phase differences. We need to find the resultant amplitude for each pair and then rank them according to their intensity. 2. **Formula for Resultant Amplitude**: ...
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