The superposing waves are represented by the following equations :
`y_(1) 5 sin 2 pi (10 t-0.1 x ), y_(2)=10 sin 2 pi (20t -0.2 x)` Ratio of intensities `(I_("max"))/(I_("min")) ` will be

Options

A. 1
B. 9
C. 4
D. 16

Answer

B

Explanation

`A_(1)=5,A_(2)=10`
`(I_(max))/(I_(min))=((A_(1)+A_(2))^(2))/((A_(1)-A_(2))^(2))=((5+10)^(2))/((5-10)^(2))=(9)/(1)`.