Two periodic waves of intensities `I_(1)` and `I_(2)` pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is:

Options

A. `(sqrt(I_(1))-sqrt(I_(2)))^(2)`
B. `2(I_(1)+I_(2))`
C. `I_(1)+I_(2)`
D. `(sqrt(I_(1))+sqrt(I_(2)))^(2)`

Answer

B

Explanation

`I_(max)=(sqrt(I_(1))+sqrt(I_(2)))^(2)`
`I_(min)=(sqrt(I_(1))-sqrt(I_(2)))^(2)`
Sum of maximum and minimum intensities
`=2(I_(1)+I_(2))`