Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Physics
Chapter
Wave Optics

BITSAT 2016 · Physics · Wave Optics

In the Young's double-slit experiment, the intensity of light at a...

In the Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is λ\lambda is K,(λ\mathrm{K},(\lambda being the wave length of light used). The intensity at a point where the path difference is λ/4,\lambda / 4, will be :

Options

  1. AK\mathrm{K}
  2. BK/4\mathrm{K} / 4
  3. CK/2\mathrm{K} / 2
  4. DZero

Correct answer

C. K/2\mathrm{K} / 2

Step-by-step solution

For path difference λ,\lambda, phase difference =2πrad=2 \pi \mathrm{rad} For path difference λ4,\frac{\lambda}{4}, phase difference =π2rad\frac{\pi}{2} \mathrm{rad} As K=4\mathrm{K}=4\mathrm{I}0_{0} so intensity at given point where path difference is λ4K′=4\frac{\lambda}{4}\mathrm{K}^{\prime}=4\mathrm{I}0cos⁡2(π4)(cos⁡π4=cos⁡45∘)=2_{0} \cos ^{2}\left(\frac{\pi}{4}\right)\left(\cos \frac{\pi}{4}=\cos 45^{{}^{\circ}}\right)=2\mathrm{I}0=K2_{0}=\frac{\mathrm{K}}{2}
Practice Wave Optics on Quantrex Academy →

More from Wave Optics

Young's double slit experiment is performed in a medium of refractive index of 1.33. The… BITSAT 2024In YDSE, monochromatic light falls on a screen 1.80 m from two slits separated by 2.08… BITSAT 2024A microwave of wavelength 2.0 cm falls normally on a slit of width 4.0 cm. The angular… BITSAT 2024The property of light which cannot be explained by Huygen's construction of wavefront is BITSAT 2024When a light ray incidents on the surface of a medium, the reflected ray is completely… BITSAT 2024A single slit of a width a is illuminated by a monochromatic light of wavelength 600 nm .… BITSAT 2023The ratio of intensities at two points P and Q on the screen in a Young's double slit… BITSAT 2023In a Young's double slit experiment, the intensities at two points, for the path… BITSAT 2023 Full Wave Optics list All BITSAT PYQs