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Wave Optics — Physics STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 SciencePhysicsWave Optics1 Mark
MCQ
Two light waves of intensities ' $I_1$ ' and ' $I_2$ ' having same frequency pass through same medium at a time in same direction and interfere. The sum of the minimum and maximum intensities is
  • A
    $\left(I_1+I_2\right)$
  • ✓
    $2\left(I_1+I_2\right)$
  • C
    $\left(\sqrt{I_1}+\sqrt{I_2}\right)$
  • D
    $\left(\sqrt{I_1}-\sqrt{I_2}\right)$
✓

Answer

Correct option: B.
$2\left(I_1+I_2\right)$
(b) : Let $a_1$ and $a_2$ be the amplitudes of light waves. Therefore, after interference
Maximum Intensity $I_{\max }=\left(a_1+a_2\right)^2$
Minimum Intensity $I_{\min }=\left(a_1-a_2\right)^2$
$
I_{\text {mix }}+I_{\text {min }}=a_1^2+a_2^2+a_1^2+a_2^2=2\left(a_1^2+a_2^2\right)=2\left(I_1+I_2\right)
$

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