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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Wave Optics

AIIMS 2016 · Physics · Wave Optics

The intensity ratio of the maxima and minima in an interference...

The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is 9:19: 1. The intensities of the used light sources are in ratio

Options

  1. A3:13: 1
  2. B4:14: 1
  3. C9:19: 1
  4. D10:110: 1

Correct answer

B. 4:14: 1

Step-by-step solution

 Imax⁡Imin⁡=(a+b)2(a−b)291=(a+b)2(a−b)2 or 31=a+ba−b or 3a−3b=a+b or 2a=4b or a=2b∴I1I2=a2b2=41\begin{aligned} & \text{ } \frac{I_{\max }}{I_{\min }}=\frac{(a+b)^2}{(a-b)^2} \\ & \frac{9}{1}=\frac{(a+b)^2}{(a-b)^2} \\ & \text{ or } \frac{3}{1}=\frac{a+b}{a-b} \text{ or } 3 a-3 b=a+b \\ & \text{ or } 2 a=4 b \text{ or } a=2 b \\ & \therefore \quad \frac{I_1}{I_2}=\frac{a^2}{b^2}=\frac{4}{1}\end{aligned}
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