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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Waves and Sound

NEET 2008 · Physics · Waves and Sound

Two periodic waves of intensities I_1 and I_2 pass through a region...

Two periodic waves of intensities I1I_1 and I2I_2 pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

Options

  1. A2\left(\mathrm{I}1+_1+\mathrm{I}_2\right)
  2. BI1+\mathrm{I}_1+\mathrm{I}2_2
  3. C(I1+I2)2\left(\sqrt{I_1}+\sqrt{I_2}\right)^2
  4. D(I1−I2)2\left(\sqrt{I_1}-\sqrt{I_2}\right)^2

Correct answer

A. 2\left(\mathrm{I}1+_1+\mathrm{I}_2\right)

Step-by-step solution

Imax =(l1+l2)2Imin =(l1−I2)2∴Imax +Imin =2(I1+I2)\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} $
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