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AIIMS 2017
Exam
AIIMS
Year
2017
Subject
Physics
Chapter
Wave Optics

AIIMS 2017 · Physics · Wave Optics

Two slits are separated by a distance of 0.5 mmand illuminated...

Two slits are separated by a distance of 0.5 mmand illuminated withlight of wavelength λ=6000A˚\lambda=6000 Å. If the screen is placed at 2.5 m2.5 \mathrm{~m} from the slits. The distance of the third bright fringe from the centre will be

Options

  1. A1.5 mm1.5 \mathrm{~mm}
  2. B3 mm3 \mathrm{~mm}
  3. C6 mm6 \mathrm{~mm}
  4. D9 mm9 \mathrm{~mm}

Correct answer

D. 9 mm9 \mathrm{~mm}

Step-by-step solution

Distance of nth n^{\text{th }} bright fringe from the centre, xn=nDλdx_n=\frac{n D \lambda}{d} So, \quadx3=3×2.5×6000×10−100.5×10−3=9×10−3m=9mm\begin{aligned} x_3 & =\frac{3 \times 2.5 \times 6000 \times 10^{-10}}{0.5 \times 10^{-3}} \\ & =9 \times 10^{-3} \mathrm{ m}=9 \mathrm{ mm}\end{aligned}$$
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