CUET · PHYSICS · PYQ PAPER 2023
The ratio of intensities of two waves is 16:1. If these two are superimposed, What is the ratio of maximum and minimum intensities?
- A 4:1
- B 25:9
- C 16:1
- D 1:4
Answer & Solution
Correct Answer
(B) 25:9
Step-by-step Solution
Detailed explanation
\( \frac{I_1}{I_2} = 16 \) \( \frac{I_{max}}{I_{min}} = \left(\frac{\sqrt{I_1/I_2} + 1}{\sqrt{I_1/I_2} - 1}\right)^2 \) \( = \left(\frac{\sqrt{16} + 1}{\sqrt{16} - 1}\right)^2 \) \( = \left(\frac{4 + 1}{4 - 1}\right)^2 \) \( = \left(\frac{5}{3}\right)^2 \) \( = \frac{25}{9} \)
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