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The displacements of two interfering light waves are y₁ = 4 sin ω t and y₂ = 3 cos (ω t). The amplitude of the resultant wave is (y₁ and y₂ are in CGS system)

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1 cm

5 cm

zero

7 cm

answer is A.

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Detailed Solution

${A_r} = \sqrt {{A_1}^2 + {A_2}^2 + 2{A_1}{A_2}\cos \phi } \$

$= \sqrt {{4^2} + {3^2} + 2(4)(3)\cos \frac{\pi }{2}} \$

$= \sqrt {16 + 9 + 0} = \sqrt {25} = 5cm\$

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