Screen \( S \) is illuminated by two point sources \( A \) and \( B \). Another source \( C \) s...

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Screen \( S \) is illuminated by two point sources \( A \) and \( B \). Another source \( C \) sends a parallel beam of light towards point \( P \) on the screen (see figure). Line \( A P \) is normal to the screen and the
\( \mathrm{P} \) lines \( A P, B P \) and \( C P \) are in one plane. The distances \( A P, B P \)

W and \( C P \) are in one plane. The radiant powers of sources \( A \) and \( B \) are \( 90 \mathrm{~W} \) and \( 180 \mathrm{~W} \) respectively. The beam from \( C \) is of intensity \( 20 \mathrm{~W} / \mathrm{m}^{2} \). Calculate intensity at \( P \) on the screen.
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