Question

Two sound waves, each of amplitude A and frequency $\omega$, superpose at a point with phase difference of $\frac{\pi }{2}$. The amplitude and frequency of the resultant wave are respectively

• A. $\frac{A}{\sqrt{2}},\frac{\omega }{2}$
• B. $\frac{A}{\sqrt{2}},\omega$
• C. $\sqrt{2A},\frac{\omega }{2}$
• D. $\sqrt{2}A,\omega$

Answer 1

Answer: (D)

$\sqrt{2}A,\omega$

$A_R=\sqrt{A^2+A^2+2A^{2}cos90}$

$A_R=\sqrt{2}A$

Frequency will remain as of the resultant wave.