1.

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 ?

Answer»

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

SOLUTION :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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