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  • The displacement equations of two interfering waves are given by <img alt="y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}" src="https://entrancecorner.oncodecogs.com/gif.latex?y_%7B1

The displacement equations of two interfering waves are given by y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}, y_{2}=5[\sin \omega t+\sqrt{3} \cos \omega t] \mathrm{cm} respectively. The amplitude of the resultant wave is ____\mathrm{cm}.

Option: 1

20


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{y}_{1}=10 \sin \left(\omega \mathrm{t}+\frac{\pi}{3}\right)
\mathrm{y}_{2}=10\left[\sin \omega \mathrm{t} \times \frac{1}{2}+\frac{\sqrt{3}}{2} \cos \omega \mathrm{t}\right]
\mathrm{y}_{2}=10 \sin \left(\omega \mathrm{t}+\frac{\pi}{3}\right)

\mathrm{y}_{1}$ and $\mathrm{y}_{2} are in same phase 

\mathrm{A}_{\mathrm{r}}=\mathrm{A}_{1}+\mathrm{A}_{2}=20 \mathrm{~cm}

Posted by

manish

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