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If waves of light having intensity `I_(1) and I_(2)` passes through any region in the same time in the same direction, what will be sum of maximum and minimum intensity ?

A

`I_(1)+I_(2)`

B

`(sqrt(I_(1))+sqrt(I_(2)))^(2)`

C

`(sqrt(I_(1))-sqrt(I_(2)))^(2)`

D

`2(I_(1)+I_(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Resultant intensity `I=I_(1)+I_(2)+2sqrt(I_(1)I_(2)). cos phi` For maximum intensity `cos phi=`
`I_("max")=I_(1)+I_(2)+2 sqrt(I_(1)I_(2))`
For maximum intensity `cos phi=-1`
`I_(min)=I_(1)+I_(2)-2 sqrt(I_(1)I_(2))`
Now `I_("max")+I_("min")`
`=I_(1)+I_(2)+2 sqrt(I_(1)I_(2))+I_(1)+I_(2)-2 sqrt(I_(1)I_(2))`
`=2(I_(1)+I_(2))`
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