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If the ratio of amplitude of wave is2 : ...

If the ratio of amplitude of wave is`2 : 1`, then the ratio of maximum and minimum intensity is

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We can write ratio of maximum to minimum amplitude and intensity as follows :
`(A_("max"))/(A_("min")) = (A_1 + A_2)/(A_1 - A_2)`
`(I_("max"))/(I_("min")) = ((A_1 + A_2)^2)/((A_1 - A_2)^2)`
Given, `(A_1)/(A_2) = 2 implies (A_1 + A_2)/(A_1 - A_2) = (2 + 1)/(2 - 1) = 3`
Hence, `(I_("max"))/(I_("min")) = (3)^(2) = 9`.
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