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sir please solve this question The ratio of maximum to minimum intensity due to superposition of two wave is 49/9. then the ratio of the intensity of component waves is  
Asked by ppavani198 | 29 Dec, 2018, 18:39: PM
answered-by-expert Expert Answer
Let a1 be the amplitude of wave-1 and a2 be the amplitude of wave-2.
If Imax and Imin are maximum and minimum intensities due to superposition,  begin mathsize 12px style I subscript m a x end subscript over I subscript m i n end subscript space equals space fraction numerator begin display style open parentheses a subscript 1 plus a subscript 2 close parentheses squared end style over denominator begin display style open parentheses a subscript 1 minus a subscript 2 close parentheses squared end style end fraction space equals space 49 over 9 end style
hence
begin mathsize 12px style fraction numerator a subscript 1 space plus space a subscript 2 over denominator a subscript 1 space minus space a subscript 2 end fraction space equals space 7 over 3 space space o r space a subscript 1 over a subscript 2 space equals space 5 over 2
I n t e n s i t y space r a t i o space equals space I subscript 1 over I subscript 2 space equals space fraction numerator a subscript 1 superscript 2 over denominator a subscript 2 superscript 2 end fraction space equals space 25 over 4 end style
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