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CUET · PHYSICS · PYQ PAPER 2023

If the two waves of intensities \( I_1 \) and \( I_2 \) pass through the region in the same direction and at the same time, the sum of the maximum and minimum intensities is :

  1. A \( (\sqrt{I_1} + \sqrt{I_2})^2 \)
  2. B \( I_1 + I_2 \)
  3. C \( 2(I_1 + I_2) \)
  4. D \( (\sqrt{I_1} - \sqrt{I_2})^2 \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( 2(I_1 + I_2) \)

Step-by-step Solution

Detailed explanation

\(I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2\) \(I_{min} = (\sqrt{I_1} - \sqrt{I_2})^2\) \(I_{max} + I_{min} = (\sqrt{I_1} + \sqrt{I_2})^2 + (\sqrt{I_1} - \sqrt{I_2})^2\) \( = (I_1 + I_2 + 2\sqrt{I_1I_2}) + (I_1 + I_2 - 2\sqrt{I_1I_2})\) \( = 2I_1 + 2I_2\) \( = 2(I_1 + I_2)\)
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