Two beams of light of intensity `I_(1)andI_(2)` interfere to give an interference pattern. If the ratio of maximum intensity to that of minimum intensity is `(25)/(9)`, then `(I_(1))/(I_(2))` is

Options

A. `(5)/(3)`
B. 4
C. `(81)/(625)`
D. 16

Answer

D

Explanation

`(I_(max))/(I_(min))=(25)/(9)`
or `((a_(1)+a_(2))/(a_(1)-a_(2)))^(2)=(25)/(9)`
where a denotes amplitude.
or `(a_(1)+a_(2))/(a_(1)-a_(2))=(5)/(3)`
or `(a_(1))/(a_(2))=4`
As, `("amplitude")^(2)prop` intensity
Hence, `(I_(1))/(I_(2))=((a_(1))/(a_(2)))^(2)=16`