In young double slit experiment the ratio of intentsities of bright and dark bands is 16 which means

Options

A. the ratio of their amplitudes is 5
B. intensities of individual sources are 25 and 9 units respiectively
C. the ratio of their amplitudes is 4
D. intensities of individual sources are 4 and 3 units respectively

Answer

B

Explanation

`(I_(max))/(I_(min))=16/1=sqrt(I_(1)+sqrt(I_(2))/sqrt(I_(1)-sqrt(i_(2))^(2)=(a_(1)+a_(2))/(a_(1)-a_(2))^(2)`
where `a_(1)` and `a_(2)` are the amplitudes of the waves take part in the superposition
`(a_(1)+a_(2))/(a_(1)-a_(2))^(2)=16/1 rarr (a_(1)+a_(2))/(a_(1)-a_(2))=4/1`
`a_(1)+a_(2)=4a_(1)-4a_(2) rarr 5a_(2)=3a_(1)`
`sqrt(I_(1))/sqrt(I_(2))=5/3 rarr (I_(1))/(I_(2))=25/9`