Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsWave Optics

Two point sources S₁ and S₂ separated by a distance 10 m emit light waves of wavelength 4 m in phase. A circular wire of radius 40 m is placed around the sources as shown in figure, then ( O is the centre of the circle and O S₁=O S₂ )

Options

  1. Apoints A and B are dark and points C and D are bright
  2. Bpoints A and B are bright and point C and D are dark
  3. Cpoints A and C are dark and points B and D are bright
  4. Dpoints A and C are bright and points B and D are dark

Correct answer

C. points A and C are dark and points B and D are bright

Step-by-step solution

Path difference at point B , x_B=S₁ B-S₂ B=0 and at point D , x_D=S₁ D-S₂ D=0 Phase difference, = 2 (0)=0 So, intensity at points B and D I=I_ ^2( / 2)=I_ So, points B and D are bright. Path difference at point A , x_A=35 m [40-5] But, figure shows x_A= x_C is maximum for given circle. When path difference is maximum, intensity will be minimum. So, points A and C are dark.

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 are essential to describe these optical effects are given in List-II. Choose the option whi 2026In a single slit diffraction experiment, a slit of width (0.016 0.002) mm is used to measure the wavelength of a monochromatic light source. In the diffraction pattern, the angular 2026As shown in the figure, a ray AB of unpolarized light enters from water of refractive index n_w = 4/3 into a medium of refractive index n_p = 4/ 3 after passing through a glass pla 2026Some distant star is to be observed by some telescope of diameter of objective lens a , at an angular resolution of 3.0 10⁻⁷ radian. If the wavelength of light from the star reachi 2026In a Young double slit experiment, the wavelength of incident light is 6000 Å, the separation between slits S₁ and S₂ is 5 cm and the distance between slits plane and screen is 50 2026In interference experiment the path difference between two interfering waves at a point A on the screen is /3 , where is the wavelength of these waves, and at another point B the p 2026An unpolarized light of intensity I_o passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser a 2026The maximum intensity in a Young's double slit experiment is I₀ . Distance between the slits ( d ) is 5 , where is the wavelength of light used. The intensity of the fringe, exactl 2026 Full Wave Optics list All 99 Percentile Qs Bank for JEE Main PYQs