The ratio of intensities of two waves are given by `4:1`. The ratio of the amplitudes of the two waves is

Options

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

Answer

A

Explanation

We know that `I alpha A^(2)`.
`rArr (I_(1))/(I_(2)) = (A_(1)^(2))/(A_(2)^(2))`
`rArr sqrt((4)/(1)) = (A_(1))/(A_(2)) rArr A_(1) :A_(2) = 2 :1`