The displacement-time graphs for two sound waves A and 5 are shown in the figure-6.98, then the ratio oftheir intensities `I_(A)//I_(B)` is equal to:

Options

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

Answer

D

Explanation

Intensity `inftya^(2)omega^(2)` here `(a_(A))/(a_(B)) = (2)/(1)` and `(omega_(A))/(omega_(B)) = (1)/(2)` implies `(a_(A))/(a_(B)) = ((2)/(1))^(2) xx((1)/(2))^(2) = (1)/(1)`