waves

Question: Two waves ${{y}_{1}}={{A}_{1}}\sin (\omega t-{{\beta }_{1}})$, ${{y}_{2}}={{A}_{2}}\sin (\omega t-{{\beta }_{2}})$ Superimpose to form a resultant wave whose amplitude is



1) $\sqrt{A_{1}^{2}+A_{2}^{2}+2{{A}_{1}}{{A}_{2}}\cos ({{\beta }_{1}}-{{\beta }_{2}})}$
2) $\sqrt{A_{1}^{2}+A_{2}^{2}+2{{A}_{1}}{{A}_{2}}\sin ({{\beta }_{1}}-{{\beta }_{2}})}$
3) ${{A}_{1}}+{{A}_{2}}$
4) $|{{A}_{1}}+{{A}_{2}}|$
Solution: Explanation: No Explanation
Interference Superposition of Waves

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