Two periodic waves of intensities $I_{1}$ and $I_{2}$ pass through a region at the same time in the

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Two periodic waves of intensities $I_{1}$ and $I_{2}$ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is\

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(b) : Other factors such as $\omega$ and $v$ remaining the same, $I=A^{2} 	imes$ constant $(K)$ or $A=\sqrt{\frac{I}{K}}$\ $m t \in$ NEET-AIPMT Chapterwise Topicwise Solutions Physics\ On superposition $$ A_{\max }=A_{1}+A_{2} 	ext { and } A_{\min }=A_{1}-A_{2} $$ $	herefore \quad A^{2}{ }_{	ext {max }}=A_{1}{ }^{2}+A_{2}{ }^{2}+2 A_{1} A_{2}$\ $\Rightarrow \frac{I_{\max }}{K}=\frac{I_{1}}{K}+\frac{I_{2}}{K}+\frac{2 \sqrt{I_{1} I_{2}}}{K}$\ $A_{	ext {min }}^{2}=A_{1}^{2}+A_{2}^{2}-2 A_{1} A_{2}$\ $\Rightarrow \frac{I_{\min }}{K}=\frac{I_{1}}{K}+\frac{I_{2}}{K}-\frac{2 \sqrt{I_{1} I_{2}}}{K}$\ $	herefore \quad I_{	ext {max }}+I_{	ext {min }}=2 I_{1}+2 I_{2}=2\left(I_{1}+I_{2}ight)$\