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) " " :. (a_(1))/(a_(2))=(3)/(1)`
`(I_("max"))/(I_("min"))=((a_(1)+a_(2))^(2))/((a_(1)-a_(2))^(2))=((a_(1)+3a_(1))^(2))/((a_(1)-3a_(1))^(2))=(4)/(1)`