Four harmonic waves of equal frequency and equal intensity `I_(0)` have phase angles `0,(pi)/(3),(2pi)/(3) and pi`. When they are superposed, the intensity of the resulting wave is `nI_(0)`. The value of n is

Answer

3

Explanation

Let amplitude of individual wave be `A` then amplitude of resulting wave `2Acos((pi)/(6)) = sqrt(3)A`
`I prop (sqrt(3)A)^(2)`
`I = 3I_(0)`