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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Wave Optics

JIPMER 2018 · Physics · Wave Optics

Two slits are separated by a distance of 0.5 mm and illuminated...

Two slits are separated by a distance of 0.5 mm and illuminated with light of λ=6000A˚\lambda=6000 Å. If the screen is placed 2.5 m , from the slits. The distance of the third bright image from the centre will be

Options

  1. A1.5mm1.5 mm
  2. B3mm3 mm
  3. C6mm6 mm
  4. D9mm9 mm

Correct answer

D. 9mm9 mm

Step-by-step solution

Distance of nth bright fringe from the centre, yn=nDλd\mathrm{y}_{\mathrm{n}}=\frac{\mathrm{nD} \lambda}{\mathrm{d}}∴y3=3×6000×10−10×2.50.5×10−3=9×10−3 m=9 mm\begin{aligned} \therefore \quad \mathrm{y}_3 & =\frac{3 \times 6000 \times 10^{-10} \times 2.5}{0.5 \times 10^{-3}} \\ & =9 \times 10^{-3} \mathrm{~m} \\ & =9 \mathrm{~mm}\end{aligned}$$
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