Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20179 AprilOnline
Exam
JEE Main
Year
2017
Date
9 April
Mode
Online
Subject
Physics
Chapter
Wave Optics

JEE Main 2017 · 9 April · Online · Physics · Wave Optics

A single slit of width 0 . 1mm is illuminated by a parallel beam of...

A single slit of width 0.1mm0 . 1mm is illuminated by a parallel beam of light of wavelength 6000Å6000Å and diffraction bands are observed on a screen 0.5m0 . 5m from the slit. The distance of the third dark band from the central bright band is:

Options

  1. A9mm9mm
  2. B3mm3mm
  3. C4.5mm4 . 5mm
  4. D1.5mm1 . 5mm

Correct answer

A. 9mm9mm

Step-by-step solution

a=0.1mm=10−4ma = 0.1mm = {10}^{- 4}m

λ=6000×10−10=6×10−7m\lambda = 6000 \times {10}^{- 10} = 6 \times {10}^{- 7}m

D=0.5mD = 0.5m

For 3rd{3}^{rd} dark

asinθ=3λasin \theta = 3\lambda

sinθ=3λa=xDsin \theta = \dfrac{3\lambda}{a} = \dfrac{x}{D}

x=3\lambdaDax = \dfrac{3\lambdaD}{a}

=3×6×10−7×0.510−4= \dfrac{3 \times 6 \times {10}^{- 7} \times 0.5}{{10}^{- 4}}

=9mm= 9mm
Practice Wave Optics on Quantrex Academy →

More from Wave Optics

In the List-I, four optical effects are mentioned. The physical phenomena of light which… JEE Advanced 2026In a single slit diffraction experiment, a slit of width (0.016 ± 0.002) mm is used to… JEE Advanced 2026As shown in the figure, a ray AB of unpolarized light enters from water of refractive… JEE Advanced 2026Some distant star is to be observed by some telescope of diameter of objective lens a… JEE Main 2026In a Young double slit experiment, the wavelength of incident light is 6000 Å, the… JEE Main 2026In interference experiment the path difference between two interfering waves at a point A… JEE Main 2026An unpolarized light of intensity I_o passes through polarizer and then through a certain… JEE Main 2026The maximum intensity in a Young's double slit experiment is I_0 . Distance between the… JEE Main 2026 Full Wave Optics list All JEE Main PYQs