Two waves represented by the following equations are travelling in the same medium `y_(1)= 5sin 2 pi (75 t-0.25x),y_(2)=10 sin2 pi (150 t-0.50x)`
The intensity ratio `I_(1)//I_(2)` of the two waves is

Options

A. `1:2`
B. `1:4`
C. `1:8`
D. `1:16`

Answer

D

Explanation

`I=1/2rho omega^(2)A^(2)v`
`(I_(1))/(I_(2))=(omega_(1)^(2)A_(1)^(2))/(omega_(2)^(2)(A_(2)^(2))`
`(I_(1))/(I_(2))=(75/150)^(2)(5/10)^(2)`
`(I_(1))/(I_(2))=1/16`