Refraction of Light: Lenses
Problem 1
Light in vacuum is incident on the surface ofa glass slab. In the vacuum the beam makes
an angle 32.0owith the normal to the surface, while in the glass it makes an angle of
21.0' with the normal. What is the speedof light in the glass?
[), = l'o
I ' = 22.o'
Ft^ = ?
A
\./
fua{/ll
w
t,
rrrl
2\
-,t,t)e /cr.n )"LAr_-/Yrtt0")
-t .'r-D- (
F*-lzc,;laX r*.
nt,
bt,orl
A+)tJq-A,4/,ja,,.,iff,
fi , -z).lv'oO,
rru
= fi,
.rr
cr. r.v
n o
n,z.*le,--
*
ftAtl Fanuuh
db'/v (t=
"/u).
-a,'"', $"
- r) r -Ai- O,
--,t^..',g *
fia=
--
( t"") -A -r ?a-D'
-,Ar\ ). 1,O"
l"'1s
4==-"-
------ v= c/n = 3.ox lO"./r
q?
D = ./u
l"
V=
)"o3*f
De'n1s
o
"At
Fw
D")
Problem2
Two converginglenses({ : 9.00cm andl = 6.00cm) areseparated
by 18.0cm. The
lenson the left hasthe longerfocal length. In object stands12.0cm to the left ofthe lefthandlensin the combination. (a) Locatethe hnal imagerelativeto the lenson the right.
(b) Obtainthe overall magnification. (c) Is the final imagereal or virtual? With respect
to the original object,is the final image(b) updght or invertedand is it (e) largeror
smalfer?
. ^
f1 = 6-oo.-
f ,=1'oo'"
AA
riv\/ ll
t)
frv lrr',aA 1f*^,W
-A-2v\)4o aa Fp
4=---++
\X.oc-
I)..Dc'r
d" = t],oc"",
t,= 1.ooo,
.^rq4 JUlo--Qp",.a
o^@,
ry-:
-A.9<-^A
'/ * '/a,= t/g ---)
d.
'/a,' -
-t
$^i*.b"la
*rA
-btl
I9\,
)t^tA
_D_r
l/
<lL
t.OOco
le.Ocr.)
tt
It=2,
|,o do = - l$,ocr.r
d"=-l7.Dcn
fa = 6,o4"-
Jt=?
O "oA?7cni'
( /i
,t" q ru^^!r"
A)'P-f)
'/^,= '/t-- tA.=_L-r
6"oo"-
-18,ocro
d; = 4,5.,
4 "5rq }ailv n,aq* A-;9p J\ru'A !y^a
(b)
ff) =
ff)=
rf,ffie--
(-*)(*)
W,
,F"d0 ^'-.ff,-$,';'-btzfr
lvl = rl, roa
( **)(-i#.) =F;-,!
(c) -S.,w.,
/r'-'qr *W
(a,;..- d;* > o)
(r)
("**
M.o)
(-d"" lMI { t)