Question

The superposing waves are represented by the following equations : $y_{1} = 5\sin 2\pi(10t - 0.1x)$,

$y_{2} = 10\sin 2\pi(20t - 0.2x)$ Ratio of intensities $\frac{I_{\max}}{I_{\min}}$ will be

• A. 1
• B. 9
• C. 4
• D. 16

Answer 1

Answer: (B)

9

Answer 2

$a_{1} = 5,a_{2} = 10$ $\Rightarrow$ $\frac{I_{\max}}{I_{\min} = \frac{(a_{1} + a_{2})^{2}}{(a_{1} - a_{2})^{2}} = \left( \frac{5 + 10}{5 - 10} \right)^{2} = \frac{9}{1}}$