Q121 / 199 · NEET 2008 (Mains) · Physics

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

Correct answer
A
$2\left(\mathrm{I}_1+\mathrm{I}_2\right)$
B
$\mathrm{I}_1+\mathrm{I}_2$
C
$\left(\sqrt{I_1}+\sqrt{I_2}\right)^2$
D
$\left(\sqrt{I_1}-\sqrt{I_2}\right)^2$

Solution

$$ \begin{aligned} & I_{\text {max }}=\left(\sqrt{l_1}+\sqrt{l_2}\right)^2 \\ & I_{\text {min }}=\left(\sqrt{l_1}-\sqrt{I_2}\right)^2 \\ \therefore \quad & I_{\text {max }}+I_{\text {min }}=2\left(I_1+I_2\right) \end{aligned} $$

Hence, the correct answer is option: 'A'.

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