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. 4
B. 9
C. 16
D. 1

Answer

B

Explanation

In the given equations, `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)) = (225)/(25) = 9`