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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Wave Optics

NEET 2014 · Physics · Wave Optics

A beam of light of λ = 600nm from a distant source falls on a...

A beam of light of λ=600nm\lambda = 600nm from a distant source falls on a single slit 1mm1mm wide and the resulting diffraction pattern is observed on a screen 2m2m away. The distance between first dark fringes on either side of the central bright fringe is:

Options

  1. A1.2cm1.2cm
  2. B1.2mm1.2mm
  3. C2.4cm2.4cm
  4. D2.4mm2.4mm

Correct answer

D. 2.4mm2.4mm

Step-by-step solution

Angular width of 1st{1}^{st} maxima
2θ=2λa2\theta = \dfrac{2\lambda}{a}
Linear width of 1st{1}^{st} maxima =(D)(2θ)=2\lambdaDa=2×(600×10−9)(2)1×10−3=2.4mm= \left(D\right)\left(2\theta\right) = \dfrac{2\lambdaD}{a} = \dfrac{2 \times \left(600 \times {10}^{- 9}\right)\left(2\right)}{1 \times {10}^{- 3}} = 2.4mm
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