1.

Intensity at A due to source is I. Without concave mirror, then find out the intensity of A after placing concave mirror.

Answer»

Solution :
`P=IxxP`
`=Ixx4pi (60)^(2)`
Intensity at `P=P/("AREA")`
`=(4pi (60)^(2) I)/(4pi (30)^(2))`
`=4I`
Now `Delta PAB ~ Delta ACD`
`rArr (AP)/(PB)=(AC)/(CD)`
`rArr CD=30/60xxR=R/2`
Energy at area of R radius `=4 I=pi R^(2)`
Now energy will fall on the screen but at an Area of radius `R/2`.
So intensity from mirror `=(4IxxpiR^(2))/(pi(R//2)^(2))=16 I`
Total Intensity `=16 I+I=17 I`


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