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

NEET · Physics · Wave Optics

Consider the following statements about interference of light A....

Consider the following statements about interference of light A. The interference fringes are equally bright and equally spaced B. At the centre of a bright fringe, the intensity is four times the intensity of the incident wave C. For constructive interference of two waves, the crest of one wave coincides with trough of another wave. Which of the above statements are correct?

Options

  1. AA and B only
  2. BA and C only
  3. CAll A, B and C
  4. DB and C only

Correct answer

A. A and B only

Step-by-step solution

In interference, the fringes are equally bright and equally spaced and intensity of the bright fringe is four times the intensity of each incident wave. Resultant intensity at a point is given by I=I1+I2+2I1I2cos⁡δI=I_1+I_2+2 \sqrt{I_1} \sqrt{I_2} \cos \delta where, I1I_1 is the intensity of the wave from source 1,I21, I_2 is the intensity of the wave from source 2 . No two sources in nature can be coherent. So, sources are made from one source by either splitting the amplitude or the wave fronts, by means of double-slit or Fresnel's prism or Lloyd's mirror etc. Further, to get a high contrast I1=I2=II_1=I_2=I. So, for constructive interference and at the central maxima δ=0\delta=0, Imax⁡=2I+2Icos⁡δ=2I(1+cos⁡δ)=4Icos⁡2(δ2)=4II_{\max }=2 I+2 I \cos \delta=2 I(1+\cos \delta)=4 I \cos ^2\left(\frac{\delta}{2}\right)=4 I So at central maxima intensity is four times the incident wave.
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