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Home / Doubts and Solutions/NEET/Physics

In YDSE the ratio of intensities of bright and dark bands is 16.Then,

a)Ratio of their amplitudes is 5

b)Intensities of the individual sources is 25 and 9 units

c)Ratio of their amplitudes is 4.

d)Intensities of the individual sources is 4 and 3 units

Explain the answer

Asked by aayush 23rd March 2018, 8:48 PM
Answered by Expert
Answer:
Ratio of intensities of bright and dark band is 16.
 
Hence Imin/Imax = 1/16.
If a1 and a2 are amplitude of the waves, then Imax and Imin are proportional to (a1+a2)2 and (a1-a2)2 respectively
begin mathsize 12px style I subscript m i n end subscript over I subscript m a x end subscript space equals space fraction numerator begin display style open parentheses a subscript 1 minus a subscript 2 close parentheses squared end style over denominator open parentheses a subscript 1 plus a subscript 2 close parentheses squared end fraction space equals space 1 over 16 fraction numerator begin display style open parentheses a subscript 1 minus a subscript 2 close parentheses end style over denominator open parentheses a subscript 1 plus a subscript 2 close parentheses end fraction space equals space 1 fourth space semicolon space space i. e. comma space a subscript 1 over a subscript 2 space equals space 5 over 3 end style
Let source intensities are S1 and S2 and they are proportional to square of the amplitudes a1 and a2  
Hence source intensities S1 and S2  are 25 and 9 units
Answered by Expert 28th March 2018, 7:02 AM
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