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10. Wave optics — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics10. Wave optics1 Mark
MCQ
In an experiment of single slit diffraction pattern, first minimum for red light coincides with first maximum of some other wavelength . If wavelength of red light is $6600\,\mathop A\limits^o$ , then wavelength of first maximum will be.....$\mathop A\limits^o $
  • A
    $3300$
  • ✓
    $4400$
  • C
    $5500$
  • D
    $6600$
✓

Answer

Correct option: B.
$4400$
b
In a single slit experiment, For diffraction maxima,

$a\sin \theta  = \left( {2n + 1\frac{\lambda }{2}} \right)$

and for diffraction minima,

$a \sin \theta=n \lambda$

According to question,

$\left(2 \times 1+1 \frac{\lambda}{2}\right)=1 \times 6600$

$\left( {\because {\lambda _{\text{R}}} = 6600\,\,\mathop {\text{A}}\limits^o } \right)$

${\lambda  = \frac{{6600 \times 2}}{3}}$

$\,\lambda  = 4400\,\mathop {\text{A}}\limits^o $

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