Two waves having amplitudes in the ratio `5:1` produce interference. The ratio of the maximum to minimum intesnity is

Options

A. `25:1`
B. `6:4`
C. `9:4`
D. `3:2`

Answer

C

Explanation

`(a_(1))/(a_(2))=(5)/(1) :. a_(1)=5 a_(1)`
`(I_("max"))/(I_("min"))=((a_(1)+a_(2))^(2))/((a_(1)-a_(2))^(2))=((5a_(2)+a_(2))^(2))/((5a_(2)-a_(2)))=(9)/(4)`