MCQ
The displacement of the interfering light waves are ${y_1} = 4\sin \omega \,t$ and ${y_2} = 3\sin \left( {\omega \,t + \frac{\pi }{2}} \right)$. What is the amplitude of the resultant wave
  • $5$
  • B
    $7$
  • C
    $1$
  • D
    $0$

Answer

Correct option: A.
$5$
a
(a) Since $\phi = \frac{\pi }{2}$ ==> $A = \sqrt {a_1^2 + a_2^2} = \sqrt {{{(4)}^2} + {{(3)}^2}} = 5$

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