Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Wave Optics

NEET 2017 · Physics · Wave Optics

Young's double slit experiment is first performed in air and then...

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th{8}^{th} bright fringe in the medium lies where 5th{5}^{th} dark fringe lies in air. The refractive index of the medium is nearly

Options

  1. A1.251.25
  2. B1.591.59
  3. C1.691.69
  4. D1.781.78

Correct answer

D. 1.781.78

Step-by-step solution

In air distance of 5th{5}^{th} dark fringe is y1{y}_{1}

y1=y5thdark{y}_{1} = {y}_{{5}^{th}dark} =(2×5−1)\lambdaD2d= \left(2 \times 5 - 1\right)\dfrac{\lambdaD}{2d}=9\lambdaD2d= \dfrac{9\lambdaD}{2d}

Also, the distance of 8th{8}^{th} bright fringe in the medium is y2=y8thBright=8\lambdaD\mud{y}_{2} = {y}_{{8}^{th}Bright} = 8\dfrac{\lambdaD}{\mud}

y1=y2{y}_{1} = {y}_{2} (according to question)

92\lambdaDd=8\lambdaD\mud\dfrac{9}{2}\dfrac{\lambdaD}{d} = 8\dfrac{\lambdaD}{\mud}

μ=169=1.78\mu = \dfrac{16}{9} = 1.78
Practice Wave Optics on Quantrex Academy →

More from Wave Optics

An unpolarized light beam of intensity I_0 passes through a series of n Polaroids P_1… MHT CET Medical 2026In a single-slit Fraunhofer diffraction experiment, the first secondary minimum is… MHT CET Medical 2026In the Young's double slit experiment, the intensity of light at a point on the screen is… MHT CET Medical 2026Two images are considered "just resolved" according to Rayleigh's criterion when MHT CET Medical 2026In Young's double slit experiment, the slits are 2\ mm apart and are illuminated by… MHT CET Medical 2026In Young's double slit, 18 fringes are observed to be formed in a certain segment of the… MHT CET Medical 2026When the un-polarised light beam is incident from air to glass (n = 1.5) at the… MHT CET Medical 2026In Young's double-slit experiment, the intensity at a point is ((1)/(4)) of the maximum… MHT CET Medical 2026 Full Wave Optics list All NEET PYQs