Two waves having the intensities in the ratio of `9 : 1` produce interference. The ratio of maximum to minimum intensity is equal to

Options

A. `10 : 8`
B. `9 : 1`
C. `4 : 1`
D. `2 :1`

Answer

C

Explanation

`(I_(1))/(I_(2))=(a_(1)^(2))/(a_(2)^(2))=(9)/(1)implies(a_(1))/(a_(2))=sqrt((9)/(1))`
`implies(I_("max"))/(I_("min"))=((a_(11)+a_(2))^(2))/((a_(1)-a_(2))^(2))`
`=((3+1)^(2))/((3-1)^(2))=((4)^(2))/((2)^(2))=(16)/(4)=(4)/(1)`