Four harmonic waves of equal freuencied 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

C

Explanation

(3) `y = sqrt(I_(0))[sinO + sin((pi)/(3)) + sin((2pi)/(3)) + sinpi)]`
`y = sqrt(I_(0))[sqrt(3)/(2) + sqrt(3)/(2)] = sqrt(3)sqrt(I_(0))`
:. `I_(r) =y^(2) = 3I_(0)` rArr `n = 3`