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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Light Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Light Waves

Determine the angular separation between consecutive bright fringes...

Determine the angular separation between consecutive bright fringes for a Young's double slit experiment using blue-green light of wavelength 500 nm500 \text{ nm}. The distance between the slits is 2.0×10−3 m2.0 \times 10^{-3} \text{ m}.

Options

  1. A0.028∘0.028^{{}^{{}^{\circ}}}
  2. B0.014∘0.014^{{}^{{}^{\circ}}}
  3. C0.057∘0.057^{{}^{{}^{\circ}}}
  4. D0.007∘0.007^{{}^{{}^{\circ}}}

Correct answer

B. 0.014∘0.014^{{}^{{}^{\circ}}}

Step-by-step solution

The angular separation between consecutive bright fringes is given by Δθ=λd\Delta \theta = \dfrac{\lambda}{d}

Given λ=500 nm=5×10−7 m\lambda = 500 \text{ nm} = 5 \times 10^{-7} \text{ m} and d=2.0×10−3 md = 2.0 \times 10^{-3} \text{ m}

Δθ=5×10−72.0×10−3=2.5×10−4 rad\Delta \theta = \dfrac{5 \times 10^{-7}}{2.0 \times 10^{-3}} = 2.5 \times 10^{-4} \text{ rad}

Converting radians to degrees:

Δθ=2.5×10−4×180∘π≈0.014∘\Delta \theta = 2.5 \times 10^{-4} \times \dfrac{180^{{}^{{}^{\circ}}}}{\pi} \approx 0.014^{{}^{{}^{\circ}}}
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