Q. 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
Explanation

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

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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