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10. Wave optics — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics10. Wave optics1 Mark
MCQ
A screen is placed at a distance $50\,cm$ from a single slit, which is illuminated with light of wavelength $690\,nm$. If the distance between first and Third minima is $3.00\,mm,$ then what is the width of the slit
  • A
    $0.460\,mm$
  • ✓
    $0.230\,mm$
  • C
    $0.920\,mm$
  • D
    $0.500\,mm$
✓

Answer

Correct option: B.
$0.230\,mm$
b
The position of $n^{t h}$ minima in the diffraction pattern is $x_{n}=\frac{n D \lambda}{d}$

$\therefore x_{3}-x_{1}=(3-1) \frac{D \lambda}{d}=\frac{2 D \lambda}{d}$

$d=\frac{2 D \lambda}{x_{3}-x_{1}}=\frac{2 \times 0.50 \times 6000 \times 10^{-10}}{3 \times 10^{-3}}=2 \times 10^{-4} \mathrm{m}$

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