Summary Class 12 ray optics importantDerivations

① Relation blu f & R :




-
A
M




is
&
.
& I
-
-
I I
-
R
I I
-
v
I &
-
u


In A APB In
& DA'D'P A AB C & AABC


= =
= -
=
=
=
-

vu + vR = -

Ru + Vu
a +
+ =
VR + Ru = vu + v


V2f + RAu =
RNU

multiplying ofus in LHS & RHS




· =D
> tanc



L
Ja
!
in tanzo
=
i

= 5 =


5 R = 27 7 =
R/z

, -
-




rare to denser for conver surface :




...
n
,




(
g N

L B, +R
>
-


U
L +v
>




i =
x + y V = r + B

i r = u B
AB +
-




=


=
AB -
AB
BN BI
=

B +
R
=


A - A
v


Shell's law :
using
Since
, Sini
n =
My

n ,
i =
n2r

n ( +) =
(
+
A + =
-