Physics · Mechanical Properties of Matter

JEE Main 2024 — 4 April, Shift 2 — Question 36

The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum of the minimum intensity in the interference pattern is :

  1. Option A:

    9:19: 1

    Correct
  2. Option B:

    16:116: 1

  3. Option C:

    1:11: 1

  4. Option D:

    4:14: 1

Answer: A

Step-by-step solution

Since, Intensity ∝\propto width of slit ( ω\omega )

so, I1=I,I2=4I\mathrm{I}_{1}=\mathrm{I}, \mathrm{I}_{2}=4 \mathrm{I} Imin⁡=(I1−I2)2=I\mathrm{I}_{\min }=\left(\sqrt{\mathrm{I}_{1}}-\sqrt{\mathrm{I}_{2}}\right)^{2}=\mathrm{I}

Imax⁡=(I1+I2)2=9I\mathrm{I}_{\max }=\left(\sqrt{\mathrm{I}_{1}}+\sqrt{\mathrm{I}_{2}}\right)^{2}=9 \mathrm{I} Imax⁡Imin⁡=9II=91\frac{\mathrm{I}_{\max }}{\mathrm{I}_{\min }}=\frac{9 \mathrm{I}}{\mathrm{I}}=\frac{9}{1}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Mechanical Properties of Matter
Topic
Stress,Strain and Modulus of Elasticity
The width of one of the two slits in a Young's double slit experiment… | JEE Main 2024 PYQ with Solution · DhiX AI