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10. Wave optics — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics10. Wave optics1 Mark
MCQ
In the Young's double slit experiment using a monochromatic light of wavelength $\lambda$ , the path difference (in terms of an integer $n$) corresponding to any point having half the peak intensity is :-
  • A
    $(2n + 1)\frac{\lambda}{2}$
  • ✓
    $(2n + 1)\frac{\lambda}{4}$
  • C
    $(2n + 1)\frac{\lambda}{8}$
  • D
    $(2n + 1)\frac{\lambda}{16}$
✓

Answer

Correct option: B.
$(2n + 1)\frac{\lambda}{4}$
b
${{\rm{I}}_{\pi {\rm{et}}}} = {{\rm{I}}_0} + {{\rm{I}}_0} + 2{{\rm{I}}_0}\cos \phi  = \frac{{{{\rm{I}}_{\pi ax}}}}{2} = 2{{\rm{I}}_0}$

$\Rightarrow \cos \phi=0 \Rightarrow \phi=n \pi+\frac{\pi}{2}=\frac{2 \pi}{\lambda} \Delta x$

$\Rightarrow \Delta x=(2 n+1) \frac{\lambda}{4}$

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