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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

During a double slit interference experiment, light with a...

During a double slit interference experiment, light with a wavelength of 5.0×10−7 m5.0 \times 10^{-7} \text{ m} is used, and the separation between the slits is 1.0 mm1.0 \text{ mm}. The screen is positioned 1.0 m1.0 \text{ m} from the slits. Determine how many bright fringes are present in a one-centimeter width on the screen.

Options

  1. A4040
  2. B55
  3. C2020
  4. D1010

Correct answer

C. 2020

Step-by-step solution

The fringe width in a double slit experiment is given by β=λDd\beta = \dfrac{\lambda D}{d}

Substituting the given values:
λ=5.0×10−7 m\lambda = 5.0 \times 10^{-7} \text{ m}
D=1.0 mD = 1.0 \text{ m}
d=1.0 mm=1.0×10−3 md = 1.0 \text{ mm} = 1.0 \times 10^{-3} \text{ m}

β=5.0×10−7×1.01.0×10−3=5.0×10−4 m\beta = \dfrac{5.0 \times 10^{-7} \times 1.0}{1.0 \times 10^{-3}} = 5.0 \times 10^{-4} \text{ m}

The given width on the screen is W=1 cm=1.0×10−2 mW = 1 \text{ cm} = 1.0 \times 10^{-2} \text{ m}

The number of bright fringes in this width is n=Wβn = \dfrac{W}{\beta}

n=1.0×10−25.0×10−4=20n = \dfrac{1.0 \times 10^{-2}}{5.0 \times 10^{-4}} = 20
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