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JIPMER 2010
Exam
JIPMER
Year
2010
Subject
Physics
Chapter
Wave Optics

JIPMER 2010 · Physics · Wave Optics

Two coherent light beams of intensities I and 4 I are superposed....

Two coherent light beams of intensities II and 4I4 I are superposed. The maximum and minimum possible intensities in the resulting beam are

Options

  1. A5I5 I and II
  2. B5I5 I and 3I3 I
  3. C9I9 I and II
  4. D9I9 I and 3I3 I

Correct answer

C. 9I9 I and II

Step-by-step solution

Given, I1=I,I2=4IImax⁡=(I1+I2)2=(I+4I)2=(3I)2=9IImin⁡=(I1−I2)2=(I−4I)2=(−I)2=I\begin{aligned} I_1=I, I_2 & =4 I \\ I_{\max } & =\left(\sqrt{I_1}+\sqrt{I_2}\right)^2 \\ & =(\sqrt{I}+\sqrt{4 I})^2=(3 \sqrt{I})^2=9 I \\ I_{\min } & =\left(\sqrt{I_1}-\sqrt{I_2}\right)^2=(\sqrt{I}-\sqrt{4 I})^2 \\ & =(-\sqrt{I})^2=I\end{aligned}
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