Two waves $Y_1=A_1 \sin \,(\omega t -\beta_1)$ and $Y_2 = A_2 \sin \,(\omega t -\beta_2)$ superimpose to form a resultant wave whose amplitude is

  • A

    $\sqrt {A_1^2 + A_2^2 + 2{A_1}{A_2}\,\cos \,({\beta _1} - {\beta _2})} $

  • B

    $\sqrt {A_1^2 + A_2^2 + 2{A_1}{A_2}\,\sin \,({\beta _1} - {\beta _2})} $

  • C

    $A_1 + A_2$

  • D

    $(A_1 + A_2)$

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