If the ratio of the intensities of two waves producing interference is 9:4, then the ratio of the resultant maximum and minimum intensities will be

Options

A. `3:2`
B. `4:9`
C. `25:1`
D. `5:1`

Answer

C

Explanation

`(I_(1))/(I_(2))=(9)/(4)=(a_(1)^(2))/(a_(2)^(2))" "therefore (a_(1))/(a_(2))=(3)/(2)" "therefore a_(1)=(3)/(2)a_(2)`
`therefore (I_("max"))/(I_("min"))=((a_(1)+a_(2))^(2))/((a_(1)+a_(2))^(2))=(25)/(1)`