Two coherent monochromatic light beam of intensitites `I` and`4I` are superposed.The maximum and minimum possible intensities in the resulting beam, is
A. `5Iand I`
B. `5I and3I`
C. `9I and I`
D. `9I and 3I`
A. `5Iand I`
B. `5I and3I`
C. `9I and I`
D. `9I and 3I`
Correct Answer – C
`I_(r)=I_(1)+I_(2)+2sqrt(I_(1)I_(2))cosphi,`
`I_(max)=(sqrt(I_(1))+sqrt(I_(2)))^(2)rArr(sqrt(I_(1))+sqrt(4I))^(2)=9I`
`I_(min)=(sqrt(I_(1))-sqrt(I_(2)))^(2) rArr (sqrt(I_(1))+sqrt(4I))^(2) rArr I_(min)=I`