CUET · PHYSICS · PYQ PAPER 2023
Two coherent monochromatic light beams of intensities 16I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are-
- A 20I and I
- B 36I and 4I
- C 20I and 12I
- D 36I and I
Answer & Solution
Correct Answer
(B) 36I and 4I
Step-by-step Solution
Detailed explanation
\(I_{max} = (\sqrt{I_1} + \sqrt{I_2})^2 = (\sqrt{16I} + \sqrt{4I})^2 = (4\sqrt{I} + 2\sqrt{I})^2 = (6\sqrt{I})^2 = 36I\) \(I_{min} = (\sqrt{I_1} - \sqrt{I_2})^2 = (\sqrt{16I} - \sqrt{4I})^2 = (4\sqrt{I} - 2\sqrt{I})^2 = (2\sqrt{I})^2 = 4I\)
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