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10. Wave optics — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics10. Wave optics1 Mark
MCQ
In a double slit experiment, at a certain point on the screen the path difference between the two interfering waves is $\frac{1}{8} ^{th}$ of a wavelength. The ratio of the intensity of light at that point to that at the centre of a bright fringe is
  • A
    $0.568$
  • B
    $0.672$
  • C
    $0.760$
  • ✓
    $0.583$
✓

Answer

Correct option: D.
$0.583$
d
$I=I_{0} \cos ^{2}\left(\frac{\Delta \phi}{2}\right)$

$\frac{I}{I_{0}}=\cos ^{2}\left(\frac{\Delta \phi}{2}\right)$

$\frac{I}{I_{0}}=\cos ^{2}\left(\frac{\frac{2 \pi}{\lambda} \times \frac{\lambda}{8}}{2}\right)$

$\frac{\mathrm{I}}{\mathrm{I}_{0}}=\cos ^{2}\left(\frac{\pi}{8}\right)$

$\frac{\mathrm{I}}{\mathrm{I}_{0}}=0.853$

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