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  4. Three waves of equal frequency having amplitudes 10mm, 4mm and 7mm arrive at a given point with successive phase difference π/2 . The amplitude of the resulting wave in mm is given by

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Q. Three waves of equal frequency having amplitudes 10mm, 4mm and 7mm arrive at a given point with successive phase difference $\pi/2$ . The amplitude of the resulting wave in mm is given by

Waves

Solution:

$a_{res} = \sqrt{a^2_1 + (a_2 - a_3)^2}$