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g
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Vector analysis s
T Smo E Goa
E Sno It Go 5
I I 260m
I It 2605
T.mn I I G Cn o
i m Go
I it 25 F n'TS
f
f
I T 25T I a
A
Er
I Is Eg
d
I
O Mr
goncidenth
i
in
Find angle deviation
of
incident Mr
iiiIt
C
I
iii in
f 120
fr 80
fret Si 82 2000
Of incident light rag is rotated by
angle O then reflected light ray
also rotate by angle O in opposite
sense
t if Mirror is rotated
by O then reflected
light ray rotate
by 20 in same
sense
Ri
It
is
got
do I
it f at Ot i
f 20
0 370
a r Um 2n 18
y
i
y 10 Cato
to Greco
day dog
off
10 Gic 370
É
Spot 10x 2 1 36
i
off
Is't goti
o
i
IO y
I 1 1 11
f 360 20
In
0 150
Characteristic of Image formation
by plane mirror
I
C
O Z
l e
z x
B E B
7
B B
A
a
B
y É S
P e x I d p
A B B A
Field of view
403
C
401
É
s
j
c
ko
É
C 4 403
of
length
Ya
É
T
2
o lol
g go
I
B
Q
d
É
e
y
2L A
Find length of field of view
Q on Screen
AB
See 3d
Sal Eu
B o B
Y
E't
ÉÉ
5 2 0
x
A A
f
20
g
s Is
y s
x
g
h
x ry 3
A
A
y p
g
É
y EÉ oz f
in
y
L B 13
H 2 x y
h Costs
h H 2
at
SEA
B
n B
yo
is
se
4 88
160
ng
A
A
A
E x
E
16
j Fy th
o
Ea
E
v 4
B
A
r
my g
D
V C
L E E
28in E É
L B
I
8 in
I C
y
X 6
y 6
It 2 h 16
12 4 1 6
h a
1mL
I 2
MI
É
5 I I virtue
2x I
y I
4
I
Image formation by two parallel
plane minor
MA MB
I I
22
2
I 32
I 8 I a
Gala IA I C z FB Cbl
I 12
Ma MB
t o
2 s
12
22 t 10 32
421 152
MA MB
I I
38
C
18
I 28
É I
8 CBI's
Gala Ia I C z C Fb
c
8
Ma MB
th
18 c g
to
10 28
38 C
58 C 48
X Image formation by two Inclined
mirror
even
3g
3 I
3
odd
318
1,3
o O
E
O O O
Ma
tiflis
it
A
s so
s s
s
59
l
fils
Ma MB
50 40
50
136 C 140
130 140 90 360
lost two Image will coincide
O
40
1,19 pi s s MB
MA MB
40 20
I 160
80
C
160 40
160 t 140 60 360
Mit
No of dmass 9
30
710 MB
MA MB
30 10
50 C S 70
110 a 1 90
130 C 150
150 7120
Ma
No of dmass 8
20
120 MB
1 11 s s
Ma MB
20 20
Got 760
C 100
100
I 140
140
Q
Mi
is i i s i n is is 1h2
Find No of Images
Q No of Omagy 2
Velocity of Image
O z
mirror ing z plane
Velocity of object and Image in
the plane of Mirror are always same
Yom Yam
Vim y Gamla
I Jin y
I.tn y
I Tiny
Similarly To Ts
Fam Tom
Is 5m x ve tile
Tix 25 x Foix
if V5 x 0
VI x To x
5ms
M
Find Us
ST 555
Fix 21 E s
503 5
V2 SS s T t 555
C
VI sit 45 til I
at Rest
g
UG
6
z
Homeward
Homework
575,54
m 1080 M a 360
m
m 35
mm If
Y
4 aperture
I
I
I
e
C
c
i
Relation between focal length and
Radius of Curvature
up
oof
O O
I
f R
CP Cf
Shin so Sm 101
Smallangle
CP
20
Cf CI
of
E
of OC Cf
of R RIL
of RIZ
RIZ
é t
f s
p
I
A mirror formula
x o
7
se
v
Ep
8
C
u
É
d
I
o
I
2 to I
L
t
22
I I
2
t t t
t t
It
I
v fu
u f
Tranousse Magnification
m
hey
B
y
ho G
yo
É I f o go P M
c
to
IF Apj
tf
HE tu
m hang tu
me
I
k
m
Ey
Sign Convention I
É the
8C u
Real object
Real object he ve
M Ine
y
u
8 c 2
u ne
I the
i
i
i
s
virtual object U the
the
T
2 I
j
Real Image U ne
ne
E the
Co o
C J s
I
g a p
Virtual Image V the
Sign above principal axis is
positive and below is Negative
non
it
g
nai 13
ho the
ha he
if Image and object are same
side
of principal axis then
Image is erect m the
B
B
it A
if Image and object are
opposite
side
of principal axis then
Image is Invart m ne
B
A
it
B
if Size of Image is
greater than
Size object then Image b
of
called magnified
I m 7 I
if size of Image is ten than
size of object is called
diminished
I mi c I
F virtual V the
Real re re
Crect m the
Invert m he
Magnified Iml I
Diminished I ml t I
n
I
ne the me I th
E I
f ne
focal length of concave mirror is the
É
me the
8
f
s
the
we
focal length of Connex mirror's
positive
if magnification due to first reflection
is mi due to Second reflection is
me and so on then total
magnification Is given by
MTotal MIL MZ x m3
A longitudinal Magnification
U2
B B A
I
3 4
u fu
lust IV l
Lj
m
I 411 1421
if size of object is small
Compared to focal length of
mirror
edu cdY V
C u
7
I I E
Iz Iz
o
Lz
To E
g s
A Relation between velocity of Image
and object
1 along principal axis
It E
0
E g of
I Vim Evin
I
Fin Evins
Es
F In ECE vis
JI Jin m VI VI
if Vin o
VI motto
if mirror is not moving then
object and Image always move
in opposite direction along the
principal axis
ii
perpendicular to principal axis
g To
Tim day y Vii
U
v5 5m Y nil
velocity of dmegew.it lens
along principal axis
die we f lens
dt
velocity
of object
along principal axis
V0 Vm Velocity of object wort lens
Kukendicular to principal axis
u
Y
yo
J
c A
B
f
Homework
1 f 15 512
Real Inuit Diminished
i
c s
80
5
Hii Total Magnification after three
reflection
28
ft
3
45 C
fee for I Reflection
V1 70
Vi 5
for 2nd Reflection
42 60
V2 30
for 310 Reflection
43 25
V3
55
far 1st Reflection
4 15
V 30
42 t 10
V2 5
5 ee
42 312
R O C 20am
I
a 3cm
c
am
a Find No of Images and position
of Images from Convex mirror
R O C 20am
If
3cm
Is no
t.mn
1143
U 15
30
m 4
D c
A B
I
s
2 I 0
Us t 20
for me
ha 2 m
u x
he
te
Ot 04
02
o
03
Ep
c
flay Is
72
I
Image formation by Convex minor
É
Sal person can see his Image so
Image is virtual
and Image of
Virtual magnified
real object can only be formed by
Concave mirror
U 20
V t 40
E I
f 40
R 80 An
I
Um
É
o
Vam m t VI VI
s C VI Vi
Too
I VI VI
VI VI I
V51 21 mis
Eu
m
Exo
lo t Do 100
Do 90
Igo To
g
m
I
dig fu
v
If
U2
did
C go o.o g I
9012
8 I
dye 8100
3
dig to
Image of Speed of A and B are
four bins of their speedy Magnificats
of A and B is twice This is
possible only when A is left side
of
focus and B is right side of focus
d
Xo
Ua LTE
UB L fol
VA 2 Lt
VB 2 L
E
Exo fatty If
I
I
rt
s É
3
21
it
I t
i L
I
E
É
II
Ets IE
3 L
E LIE
32 L t
32
2L 200
Do L
Homework
o
f 15
u
30
v
v2
I I E
re to 20
60
B 17 f
Image of A
I I
v fu
f u
I V1
Ff
Image of B
V f
f
length of image
fI f
If
Homework
20
C
É
R
8
ii p
i p
go Find
E IT a
OC I
25m I G q GE
a
OC RO
OC 2 fo
I 2 fo
Distance 4 to
I Éfg cuss is
2
L gey
2 Kx
If
two 2nd
ten 20 X
f y
o Ey
2h 2nd
4h32
f raz
I
4ft 4h42 I 4642
f
In
I 7
I
12
f E R C
710 sit o
20 30 180
0 75
6 450
SI SEI
Er III on
072
EI
R Zf
012 03 1 f
final co ordinate 3 f 012,660 012960
3f E t LEE f
I
a a
O
75
No
I
A
0 300
Fsc
45 go É
0 175 Oc
it s
no
adabat
F
i
P
P V Pak
Ivi Vz
P Vir Pak't Tz 72
po M 717
matzoh E
amalfi
mmzh
meal