The intensity ratio of two waves is `1 : 16`. The ratio of their amplitudes is

Options

A. `(1)/(4)`
B. `(1)/(2)`
C. `(1)/(10)`
D. `(16)/(17)`

Answer

A

Explanation

`I_(1) prop A_(1)^(2) and I_(2) prop A_(2)^(2)`
`(I_(1))/(I_(2)) = (A_(1)^(2))/(A_(2)^(2)) :. (A_(1))/(A_(2)) = sqrt((I_(1))/(I_(2))) = sqrt((1)/(16)) = (1)/(4)`