rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h ud;r rdyq, Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College Matara Rahula College - Matara
rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq,
jsoHd,h - ud;r rdyq, jsoHd,h - ud;r Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College – Matara
f;jk jdr mßËKh- 2015 T h i r d T e r m T e st - 2 0 1 5 fN!;sl úoHdj Physics 1'
meh 02 Two Hours
13 fY%aKsh Grade 13
m%Yak ish,a,gu ms
2'
n - XY
2' ny - X
3'
n -X y
4'
ny -
x y
5.
ny - XY
uhsfl%da óg¾ ial=remamq wdOdrlhk Y=kH msysgqu my; mßos fõ' fuys wka;,d,h
1 mm jk w;r 2
jD; mßudkh fldgia 50 lg fnod we;' uq,dxl fodaYh l=ulao@ 45
5
3'
1'
th 0. 02 mm jk w;r ñkqug tl;= l, hq;=h
2'
th 0. 02 mm jk w;r ñkqfuka wvq l, hq;=h
3'
th 0. 07 mm jk w;r ñkqug tl;= l, hq;=h
4'
th 0. 07 mm jk w;r ñkqfuka wvq l, hq;=h
5.
th 0. 05 mm jk w;r ñkqug tl;= l, hq;=h
my; i|yka iólrKfha v hkq m%fõ.ho g hka .=re;ajc ;ajrKho hkq mDIaál wd;;sho hkq >k;ajho fõ' v2 = 1'
4'
2'
L
g 2 A ys udk jkafka 2 3'
LT
LT-1
LT-2
4'
5.
L2
iDcq ;sria ud¾.hl .uka lrk jia;=jlg ksh; ;ajrkhla we;' fuh ;=kajk ;;amrh ;=, 30 m ÿrla .uka lrk w;r p,s;fha miajk ;;amrh ;=, 50 m ÿrla .uka lrhs' jia;=fõ ;ajrkh jkafka" 1'
5.
5 ms-2
2'
6 ms-2
ldrhla .uka lsÍfïos .ufka m
3
1'
48ms-1
3'
3
8 ms-2
4'
10 ms-2
ÿr 10ms-1 fõ.fhkao fojk 1
3
5.
12 ms-2
ÿr 20ms-1 fõ.fhkao
ÿr 60ms-1 fõ.fhkao .uka lrhs' uq¿ .uk i|yd idudkH fõ.h 2' 40ms-1
3' 30ms-1
4' 24ms-1
5. 18ms-1 1
ne¨khla 12 ms-1 fõ.fhka by,g .uka lrk úg th 65 m Wila fmd,j uÜgfï isg by,ska
6'
msysgk úg ne¨kfhka .,la uqod ysrkq ,efí' th fmdf,dj fj; ,Õd ùug .;jk ld,h jkafka" 1'
2'
13 S
3'
6.5 S
4'
5S
5.
3.5 S
2.5 S
lr;a;hla iDcq ;sria ud¾.hl 30 ms-1 ksh; fõ.fhka p,s; fõ' p,s;h jk lr;a;fha isg
7'
jia;=jla uqod yeßh hq;af;a lr;a;h 90 m .ukal, miq th lr;a;h ;=,g kej; meñfKk f,ih" jia;=j lr;a;hg idfmaCIj l=uk fõ.hlska iy ;srig wdk;j l=uk fldaKhhlskao uqod yeßh hq;= jkafka@
8'
1'
30 ms-1, 30o
2'
15 ms-1, 90o
4'
60 ms-1, 0o
5.
20 ms-1, 90o
15 ms-1, 30o
3'
fmkajd we;s mßos ;srh iu. iu fldaKhla iys;j B;,fhka fmkajd we;s osYdjg .,la ùis lrkq ,efí' jD; m%;sfrdaOh fkdi,ld yeßhfyd;a my; l=uk m%fõ.h (v), ld,h (t) iu. vx iy vy úp,H jvd;a fyd|ska ksrEmkh lrhso@
v
vy v
v
v
vx
t
0
0
(A)
9'
t
t
0
(B)
0
(C)
Vx
vy
1'
B
C
2'
B
A
3'
A
D
4'
B
D
5.
B
B
t (D)
yrialv fCIa;% k,h A jq nghlska ;sriaj 3v fõ.hlska taldldr c, myrla uqod yßkq ,nk w;r th 3v fõ.fhkau isria ì;a;sh u; .efÜ v fõ.fhka ish¨u c,h ì;a;shg ,ïnlj fm,d mkS kï iy c,fha >k;ajh kï ì;a;sh u; fhfok n,h 4 v2
1' 10'
2'
2A2 v2 3'
4 Av3
2 Av3
4'
12 Av2
5.
iqug ;sria fïihla u; .uka lrk A kï wxY=jla fïih u; ksYap,j we;s B kï wxY=jla yd .efÜ' A ys wdrïNl .uH;djh po kï" wxY=j, .uH;djh (p) ld,h (t) iu. fjkiajk whqre jvd;au fyd|ska ksrEmkh jkafka my; i|yka lskï jl%fhkao@ p
p A
A
B
0
A
B
t (1)
p
p
t (2)
p
B A
B 0
0 (3)
t
B
A t (4)
0
t (5)
2
11'
ialkaOh 2M jk A kue;s jia;=jla rEmfha fmfkk mßos iqug ;sria mDIaghla u; ;nd we;s w;r ialkaOh M jk B l=vd l=Üáhla jia;=jg uqÿfka ;nd we;' ksi,;djfhka mgkaf.k B l=Üáh A ys iqug mDIagh Tiafia my,g i¾mkh fõ' B l=Üáh A f.ka bj;a jk fudfydf;a A ys m%fõ.h v fokq ,nkqfka@ M
1' V =
B
4'
h
V=
2 gh gh 2
2' V =
gh
V=
gh 5
5.
3'V =
gh 2
2M A
12'
ir, wj,ïnhla idod we;af;a tla fl,jrla wp, ,CIhlg iúlr we;s 0.8 m os. jdfka fnda,hla t,aùfuks' fnda,h iy ;ka;=j ;sriaj weos isák fia ;nd miqj uqod yßkq ,efí' tys m:fha my
1' 13'
2'
1.0 ms-1
3'
1.5ms-1
4' 2.0 ms-1
5.
2.5 ms-1
isriaj by,g mekSfïos mqoa.,hl=f.a mdo u; fmd,fjka fhfok n,h (F) ld,h (t) iu. úp,H jk wdldrh rEmfha oelafõ' n,h (F) 0.3 ;=, oS mqoa.,hdf.a idudkH nr jk 650 N isg 1.430 N olajd jeä ù 0.1S ;=, oS ksYap,j mj;S' B,.g mdo fmd,fõ iam¾Yfhka ñfok úg Y=kHh olajd my; niS' mqoa.,hd fmd,fjka bj;ajk fõ.h jkafka" N
1'
1 ms-1
3'
2 ms-1
2'
1.5 ms-1
14.30
4'
3 ms-1
5.
10 ms-1
650 0.2
14'
S
0.4
0.3
isriaj m%lafIamKh lsßug wgjd we;s ialkaOh 5000 Kg jq frdlÜgqjl oyk jdhqfõ msgdr fõ.h 800ms-1 fõ' 20ms-2 wdrïNl ;ajrKhla frdlÜgqjg ,nd oSug oyk jdhqj msgl, hq;= iS>%;djh jkafka" 1'
15'
125.5 Kgs-1
2'
127.5 Kg 3'
137.5 Kgs-1
4' 185.5 Kgs-1
5. 187.5 Kgs-1
fmkajd we;s mßos PA yd QB ,qyq ;ka;= follska t,a¨ úg AB oKav ksoyfia t,af,a' oKafâ uOH ,CIh C fõ' oKafâ .=re;aj flakaøh" Q P
C A
B
1'
A j, msysghs
2'
B j, msysghs
3'
C j, msysghs
4'
A yd C w;r msysghs
5'
C yd B w;r msysghs 3
16'
ialkaOh 60Kg jk AB taldldr nd,alhla A fl,jf¾ isg 2m yd 9m ÿßka we;s wdOdrl folla u; iu;=,s;=,s;j ;nd we;' fuu nd,alh osf.a fofl,jrg ksoyfia wejosh yels ñksidf.a Wmßu ialkaOh jkafka" 1' 60 Kg 2' 100 Kg 3' 120Kg 4' 130 Kg 5. 170 Kg ;sria mDIaghla u; we;s ialkaOh 2Kg jq jia;=jla u; rEmfha fmkajd we;s mrsos P n,hla fhfokq
17'
,efí' mDIag fol w;r .;sl >¾Ik ix.=klh 0.5 fõ' jia;=j taldldr m%fõ.fhka .uka lrhs kï jia;=j u; wNs,ïNl m%;sl%shdj R fokq ,nkafka" R
P
1'
45o
10 N
2'10
3' 20 N
2 N
4' 20
5. 40 N
2
45o
18'
S ;ka;=fjys tla fl,jrla R okavl .=re;aj flakaøhg iúlr we;s w;r wfkla fl,jr W r¿ isria ì;a;shlg iúlr we;' rEmfha fmkajd we;s wkaoug okafvys tla fl,jrla ì;a;sh iu. iam¾Y lrñka iu;=,s; ù we;' ì;a;sh iy okav w;r iaÓ;sl >¾Ik ix.=Klh
1 kï ì;a;sh 3
yd okav w;r fldaKhg ;sìh yels wju w.h' 1' 15o 2' 30o
R
3' 45o 4' 60o
5. 75o
S
W 19'
rEmfha fmkajd we;s mßos wxY=jla ksh; V fõ.hlska jD;hla Tiafia .uka lrhs' P yd Q ,CI w;r wxY=fõ m%fõ. fjkfia úYd,;ajh jkqfha V
Q
1' o
1. 0
2'Vsin 40 3' 2Vsin20
4' 2Vsin 40
5. V
V
40o
P 20.
T - fg%da,shg >¾IKh rys; ;sria fïihla u; p,kh úh yels P yd Q hkq ialkaO iudk kuq;a T ys ialkaOhg jvd wvq ialkaO we;s jia;= foflys >¾IKh rys; lmamshlska .uka lrk ;ka;= u.ska P yd Q t,a,d we;' wdrïNfhaos T fïih uOHfhys iu;=,s;;djfhka ;nd we;' ;ka;= fofla os. ilid we;af;a P yd Q hka;ñka fmd,j iam¾Yj mj;sk mßosh' fg%d,sh fïifha fl,jrg we| w;yßkq ,efí' túg fg%d,sfha m%fõ.h (v) ld,h (t) iu. fjkiajk wdldrh l=uk m%ia;drfhka ksjerosj fmkakqï lrhso@ V
V
t
t
t
T
V
V
V
t
t
p
Q
4
21.
taldldr lïìhla rEmfha olajd we;s mßos kjd we;' ADB iy BEC w¾O jD; fõ' D hkq AD = DB jk mßos ADB w¾OjD;h u; msysá ,CIhls' moaO;sh D j,ska ksoyfia t,a¨j fyd;a AC yd isri w;r fldaKh jkafka" E
B
A
1. 0o
2. 30o
4. 60o
5. 90o
3. 45o
C
D
22.
os. L jk i¾jiu talldr .fvd,aa folla rEmfha fmfkk mßos ;sria fïihla u; tlWv tl fkdfmfr,k mßos ;nd we;' l1 yd l2 g ;sìh yels Wmßu w.hka jkafka ms
23.
1'
L L , 2 4
2'
L L , 2 6
4'
L L , 4 4
5.
L L , 4 6
3'
L L , 2 8
l1
l2
m,p yd L u.ska ms%;djfhka N%ukh ;eáhl N%uk wlaIh jgd wjiaÓ;s
1'
24.
>q¾Kh 8x10-4 kgm2 fõ' isriaj jefgk bá.=,shla ;eáh u; jefgkafka N%uk wCIfha isg 5 cm ÿßks' th weosu ksid tys N%uk iS>%;djh ñks;a;=jg jg 80 olajd wvqúh kï jegqk báj, ialkaOh jkafka" 1' 25.
2'30 g
20 g
3'
40 g
4'
50 g
5.
60 g
fudag¾ r:hla 10m wrhla we;s ;sria jD;ldr m:hl ksh; fõ.fhka Odjkh fõ' 1m os. ieye,a¨ ;ka;=jl tla fl
26.
2'
30o
3'
45o
4'
60o
5.
90o
yrialv fCIa;%M,h 0.008m2 (80cm2) jq îlrhl 0.1m (10cm) Wig c,h mqrjd we;' rEmigyfka oelafjk wdldrhg îlrh ;=, ;eáh u; ;enqúg olajk mdGdxlh 0.820kg fõ' îlrfha c, uÜgu 0.001m (0.1cm) m%udKhlska by, hk f;la th ;=,g we.s,a,la oeuqúg ;=,dfõ olajk mdGdxlh jkafka"
1' 0.812kg 2' 0.820kg 3' 0.824kg 4' 0.828kg
5.0.836kg
5
27.
rEmfha olajd we;s mßos ,S lene,a,la iy .,a lene,a,la wvx.= l= vd îlrhla úYd, c, îlrhla ;=, mdfõ' .f,ys >k;ajh c,fha >k;ajhg jvd jeä w;r ,S lene,af,a >k;ajh c,fha >k;ajhg jvd wvqh' úYd, îlrh ;=, c, uÜgfuys Wi h ms
C. ., yd ,S lene,a, msg;g f.k tlg .eg .id c,hg oeuqúg tajd îlrfha m;=,g .uka lrhs kï h jeä fõ by; m%ldY j,ska i;H jkafka" 1'A muks 28.
2' A yd B muks
3' A yd Cmuks
4'
B yd C muks
5. A,B yd C
rEmfha fmkajd we;s mßos gexlshla ;=, we;s c,h tl tflys mßudj vo jq i¾jiu l=vd jdhq nqnq¨ u.ska taldldrj nqnq,kh lrkq ,efí' ialkaOh M iy mßudj V jq f.da,hla tys mDIaGh u; jdhq nqnq¨ tla;rd ixLHdjla /os mej;su fya;= fldg f.k fmkajd we;s mßos c,h ;=, mdfjñka mj;s' c,fha >k;ajh dw iy tu f.da,fha c,h ;=, mdfjñka mj;su ;nd .eksu i|yd /os mej;sh hq;= wju jdhq nqnq,a ixLHdj n kï 1'n =
4. 29.
M Vd w vo d w
n>
2'n >
M Vd w vo d w
vo d w
5.
M Vd w
3. n <
n<
M Vd w vo d w vo d w
M Vd w
>k;ajh d1 yd d2 jk (d1>d2) ñY% fkdjk øj folla b;d úYd, úYalïNhlska hq;a is,skavdldr gexlshl wvx.= fõ' gexlsfha m;=,g wdikakfha l=vd isÿrla we;' lsishï fudfyd;loS øjhkaf.a Wij,a h1 yd h2 kï tu fudfydf;aos gexlsfhka øjh bj;g .uka .kakd fõ.h V l=ulao@ ^mDIaál wd;;sh iy ÿiai%dú;d n, fkdi,ld yßkak& 1'V =
2gh1 2' V =
5.V= 2 g (h1 30.
2 gh1d1 d 3'V= 2 g ( 1 h1 h 2 ) 4'V= d2 d2
2 g ( h1 h 2 )
h1
1
d2 h2 ) d1
h2
1
V
1
fjk fjku t,a,d we;s os. 0.5m iy 2.0m jk ir, wj,ïN folla tlu fudfyd;l tlu wdldrhg l=vd f¾Åh úia:dmk follg ,la lrk ,os' wj,ïn fol kej; jrla iu l,ia: jkqfha flá wj,ïnfha foda,k lShlg miqjo@ 1' 1
31.
2' 2
3. 3
4. 4
5.5
weos èjksudk lïìhl os. 143cm yd 145cm jq úg iriq,hla iu. ;;amrhg iamkao folla ,efí' iriqf,a ixLHd;h fldmuKo@ 1' 144 Hg
2' 284 Hg
3. 286 Hg
4. 288 Hg
5. 290 Hg
6
32.
weos ;ka;=jl uq,sl ixLHdkh yd tys ;=kajk m%ixjdoh w;r fjki 400 Hg fõ' ;kak;=fõ yd 0.5m o th 400N wd;;shlg Ndckh ù we;akï o ;ka;=fõ tall os.lg ialkaOh 1' 0.01kgm-1
33.
2' 0.02kgm-1
3. 0.09kgm-1
4.0.10kgm-1
5.0.20kgm-1
tlu wd;;shlg hg;aj we;s lïmkh jk lïì follska kq.eiqï iEosug kï A. tajdfha msgjk èjksfha ;rx. wdhduh iq¨ jYfhka fjkia úh hq;=h B. tajdfha os. iq¨ jYfhka fjkia úh hq;= w;r f¾Çh >k;ajh;a tlu úh hq;=h C. tajdfha f¾Åh >k;ajhka iq¨ jYfhka fjkiaúh hq;= w;r os. tlu úh hq;=h by; m%ldY j,ska i;H jkafka 1'A yd B muks
34.
2'B yd C muks 3. A yd C muks
4.A,B yd C muks
5.A,B yd C wi;H fõ
èjksudk lïìhl tla;rd os.la fjk;a èjksudk lïìhl 122cm yd 120cm os.la iu. fjk fjku lïmkh l, úg wjia:d foflaoSu kq.iqï folla idohs' wjia:d foflosu fojk èjks udk lïìfha wd;;s iudk jq w;r tajd lïmkh jqfhao tlu Wmß;dkfhks' m
35.
2'240 Hg
3.242 Hg
4. 244 Hg
5.246 Hg
10m os. we|s ;ka;=jla m%Njhla iu. wkqkdo jkafka mqvq 5la we;sjk mßosh" ;ka;=j ;=, ;rx. m%fõ.h 25ms-1 fõ' ;ka;=jg fhdod we;s wd;;sh m
1 lr kej; tu m%Njh iu. 4
wkqkdo ùug ie,ei fõ kï tys we;sjk mqvq .Kk@ 1'1 36.
2' 2
3. 2.5
4.3
5.10
jd;fha .uka lrk èjks ;rx. foll ;rx. wdhdu
80 80 m iy m fõ' fuu tla tla ;rx. 195 193
;=kajk ;rx.hla iu. 5Hz ixLHd;hlska kq.eiqï we;s lrhs kï jd;h ;=, èjks m%fõ.h jkafka" 1'300 ms-1 37.
2'320 ms-1
3'340 ms-1
4'375 ms-1
5. 400 ms-1
we¨ñkshï iy ßos lïì foflys os. 60cm iy 75cm fõ' tu lïì foflys tall os.l ialkaOh ms
fofla we;sjk mqvq ixLHd w;r wkqmd;h jkafka 1' 3' 5. tall
38.
Ag
1:1 2' 5:2 75cm 4:3 4' 3:4 2:5 os.l ialkaOh m jq ;ka;=jl tla fl¾IKh
rys; lmamshla yryd hjd M ialkaOfhkao rEmfha fmkajd we;s mßos iïnkaO lr we;' iriq, lïmkh l, úg rEmfha fmfkk wdldrhg ia:djr ;rx.hla idohs kï iriqf,a ixLHd;h jkafka" 1'
2 L
Mg m
2'
1 2L
Mg m
3'
4 L
Mg m
4'
1 L
Mg m
5.
2 m L Mg
L
7
39.
.sgdrhl lïìhla 191Hz ixLHd;hla iys;j iriq,la iu. ldur WIaK;ajhloS lïmkh l, úg ;;amrhlh kq.eiqï 5la wefia' tla;rd WIaK;ajhlg r;al, úg wefik kq.eiqï m%udKh ;;amrhg wgla olajd jeä fõ' ldur WIaK;ajfhaos .sgdrh lïmkh jkafka ljr ixLHd;fhayso@ 1' 181Hz
40.
2' 186Hz
3' 191Hz
4' 196Hz
5. 201Hz
A iqug ì;a;shl isg iuÿrlska B ys iúlrk ,o ;ks ixLHd;hlska hq;a iamSlrhls' A isg B olajd mSvk fjkiaúu i|yd ixfõos wkdjrlhla f.k hk úg ì;a;sfha isg 2m ÿrl os Yío uÜgfï wjuhla we;' Yíofha fõ.h 320ms-1 kï iamSl¾fhka ksl=;ajk Yíofha ixLHd;h jkafka" 1'
40Hz
2' 60Hz
3' 80Hz
4' 100Hz
5.160Hz
A
B
8
rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h ud;r rdyq, Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College Matara Rahula College - Matara
rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq, jsoHd,h - ud;r rdyq,
jsoHd,h - ud;r rdyq, jsoHd,h - ud;r Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College - Matara Rahula College – Matara
f;jk jdr mßËKh- 2015 T h i r d T e r m T e st - 2 0 1 5 fN!;sl úoHdj II Physics II
12 fY%aKsh Grade 12
meh 03 Three Hours
A fldgfiys m%Yak ish,a,g;a B fldgfiys m%Yak y;rlg;a ms
= 10ms-2
c,fha >k;ajh
= 1000kgm-3 A fldgi - jHqy.; rpkd
01'
mÍCIKd.drfhaos f.da,hl úIalïNh i|yd ,nd.kakd ,o ñkqï lsysmhla my; oelafõ' 10.01 mm, 9.98 mm, 9.99 mm, 10.2 mm I.
by; lshùï tlsfklg fjkia úug fya;=j l=ulao@ …………………………………………………………………………………………………
II.
by; ñkqï .eksu i|yd fhdod .kakd ,o ñkqï WmlrKh l=ulao@ …………………………………………………………………………………………………
III.
by; ñkqï weiqfrka f.da,fha úIalïNh .Kkh lrkak' ………………………………………………………………………………………………… …………………………………………………………………………………………………
IV.
úIalïNfhys m%;sY; fodaIh fidhkak' ………………………………………………………………………………………………… …………………………………………………………………………………………………
V.
f.da,fhys ialkaOh i|yd ,nd .kakd ,o ñkqu 4.8 g fõ' f.da,h iEos øjHfha >k;ajh fidhkak' ^ =3 f,i i,lkak & ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
VI.
Tng ñkqï irdjla iy c,h imhd we;akï f.da,fha mßudj ,nd.; yels fjk;a l%uhla i|yka lrkak' ………………………………………………………………………………………………… …………………………………………………………………………………………………
1
VII.
uq,ska wkq.ukh l, l%uhg jvd (VI) ys i|yka l%ufhys we;s jdishla i|yka lrkak' …………………………………………………………………………………………………
VIII.
f.da,h c, îlrh ;=
IX.
f.da,h c, îlrh ;=, ;sìhoS >k;ajh 1400kgm-3 jk øjhlska c,fhkys mßudjg iudk mßudjla îlrhg tl;= lr c,h iu. ñY% lrk ,os' oeka f.da,h c,h ;=, .s,ajd w;yeßh úg th u; iïm%hqla; n,h .Kkh lrkak' ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
02'
h1 d1 d1 d1
h2 d1 d1 d1
N+ñf;,a ^>k;ajh d1& iy CuSO4 ødjkhl ^ >k;ajh d2& >k;aj ixikaokh lsßu i|yd fhdod .kq ,nk WmlrK wegjqula by; rEmfha oelafõ' U k,fha tla fl,jrlg rn¾ k,hla yryd iïnkaO lr we;s rn¾ jeiaula iys; ;si,a mQks,h ol=Kq mi úYd, îlrhla ;=, we;s CuSO4 ødjkfha .s,ajd we;' I.
mÍCIKh i|yd w;HjYH fuys i|yka fkdjk WmlrKh l=ulao@ …………………………………………………………………………………………………
2
II.
mQks,h .s,ajk .eUqr h2 jeä lrk úg h1 ys w.hg l=ula isÿfõo@ ………………………………………………………………………………………………… …………………………………………………………………………………………………
III.
h1 iy h2 w;r iïnkaO;dj oelafjk m%ldYkhla f.dv k.kak' ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
IV.
m%ia;dßl l%uhlska
d2
d1
wkqmd;h fiúu i|yd iólrKh kej; ilia lr ,shkak'
………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… V.
iajdhla; iy mrdhla; úp,H olajkak' …………………………………………………………………………………………………
VI.
h2 g bosß h1 m%ia;drh my; oelafõ' tys wkql%ukh fidhkak'
VII.
N+ñf;,a ys >k;ajh 800 kgm-3 kï CuSO4 ys >k;ajh fidhkak' ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… 3
VIII.
CuSO4 ys idfmaCI >k;ajh fiúu i|yd by; mÍCIKhg isÿl, hq;= úlrKh l=ulao@ ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
03'
mÍCIKd.drfhaos jd;fha èjks m%fõ.h fiúu i|yd YsIHfhla fhdod .kakd ,o WmlrK wegjqula my; oelafõ' fï i|yd Tyq fjkia ixLHd; iys; iriq,a moaO;shla iy ógr rE,lao fhdod .kakd ,os'
I.
YsIHhd mÍCIKh wdrïN l, hq;af;a ljr iriqf,kao hkak fya;= iys;j olajkak'
II.
………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… fï i|yd Tyq iriq, ;nk wdldrh by; rEmfha weo olajkak'
III.
by; i|yka lrk ,o iriq, Ndú;d lr uq,sl wkqkdo wjia:d ,nd .kakd wdldrh fláfhka i|yka lrkak'
IV.
………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… uq,sl wkqkdo wjia:dfõ k,h ;=, ;rx. rgdj by; rEmfha we| olajkak' k,fha wdka; fYdaOkh e f,i i,l=Kq lrkak'
V.
k,fha wkqkdo os. l iy e weiqfrka ;rx.fha ;rx. wdhduh m%ldY lrkak'
VI.
………………………………………………………………………………………………… ………………………………………………………………………………………………… uq,sl lïmk ixLHd;h f i|yd m%ldYkhlaa jd;fha èjks m%fõ.h V iy by; rdYs weiqfrka ,shkak' ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… 4
VII.
m%ia;drhla we|su i|yd iqÿiq whqßka by; iólrKh ilikak' ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
VIII.
m%ia;drfha o< igykla w|skak'
IX.
m%ia;drh weiqfrka ,nd .; yels ;j;a m%;sM,hla olajkak' ………………………………………………………………………………………………… …………………………………………………………………………………………………
04'
fmd
I.
wj,ïnfha foda,k ld,dj¾;h T i|yd m%ldYkhla H iy h weiqfrka ,shkak' ………………………………………………………………………………………………… …………………………………………………………………………………………………
II.
h iu. T ys úp,kh mÍCId lsßu i|yd iqÿiq f,i by; iñlrKh ilikak' ………………………………………………………………………………………………… ………………………………………………………………………………………………
5
III.
YsIHhl= h ys w.h my; oelafjk wdldrhg úp,kh lrñka tla tla wjia:djg wkqrEmj foda,k 20 la i|yd .;jk ld,h ñkqï lrk ,os' 5.0 cm, 8.0 cm, 11.0 cm, 32.0 cm, 35.0 cm , 38.0 cm Tyq m%ia;dßl l%uhla Ndú;fhka .=re;ajc ;ajrKfhys w.h ks¾Kh lsßug n,dfmfrd;a;= fõ kï by; w.hhka fY%aKsfhys mj;sk fodaI 2 la i|yka lrkak ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
IV.
by; (II) iólrKh i|yd ,efnk m%ia;drfha o, igykla woskak'
V.
m%ia;drfhys wkql%ukh fiúu i|yd YsIHhd f;dard .kakd ,o ,CI foflys LKavdxl (20.0,3.62) iy (80.0, 1.22) fõ' m%ia;drfha wkql%uk fidhkak ^ X wCIh cm j,ska o Y wCIh S j,ska o f.k we; & ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
VI.
g ys w.h ks¾Kh lrkak' ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
VII.
H ys w.h m%ia;drh weiqfrka ks¾Kh l, yelafla flfiao@ ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………
6
B fldgi - rpkd 01'
I.
—mDIaG folla w;r iSudldÍ wjia:dfõoS iaÓ;sl >¾IK ix.=Klh" .;sl >¾IK ix.=Klhg jvd úYd,;ajfhka jeäh ˜ jia;=j u; fhdokq ,nk ndysr n,fha úYd,;ajh iu. >¾IK n,fha úYd,;ajh fjkiajk m%ia;drh Ndú;fhka meyeos,s lrkak'
II.
;srig 34o l wdk; ,E,a,la u; ialkaOh 60kg la jk fmÜáhla ;nd we;' fmÜáh yd ,E,a, w;r >¾IK ix.=Klh 0.25 ls'
a)
ñksfila fuu fmÜáh hka;ñka fyda my
b)
,E,a, u; ;nk ,o fmÜáh iqug ieye,a¨ ;ka;=jlska .eg.id iqug lmamshla u;ska hjd my; rEmfha mßos ,E,a, osf.a by
34o
02' a) fudag¾ r:hla tys frdao yd ud¾.h w;r >¾IK ix.=Klh jqo" ;srig wdk;shlska hq;a wrh R jq jx.= ud¾.hl .uka lrhs'
R
I.
jx.= ud¾.h ;sria ud¾.hla ù kï ( =0)" tu ud¾.fha jx.=j .ekSfïos fudag¾ r:h ,nd.; hq;= wdrCIs; m%fõ.h l=ula fõo@ = 0.4 o
II.
R= 100m o kï fudag¾ r:h ,nd.; hq;= wdrCIs; m%fõ.h fidhkak'
fudag¾ r:h yd ud¾.h w;r >¾IK ix.=Klh Y=kH ù kï ( =0) fudag¾ r:h ,nd .kakd m%fõ.h
g R tan nj fmkajkak' tu.ska R=100m o =10o o kï fudag¾ r:h
,nd .kakd tu m%fõ.h fidhkak' 1
(b) fudag¾ r:h ;sria iDcq ud¾.hl .uka lrk w;r;=r tu ud¾.fha wrh r (=20m) jq jD;a;dldr ud¾. ndOlhla yuqfõ' rEmfha mßos ndOlfha by
r
03'
wdlsñäiaf.a kshuh i|yka lrkak' a) uOHidr >K;ajh fiúug Ndú;d l, øjudkh 0.4 cm2 l taldldr yrialvla we;s n|lska yd f.da,dldr n,anhlska iukaú;h' øjudkh c,h ;=, mdfjkafka nf|ka 8cm la by,ska mj;sk mßosh' øjudkfha iïmq¾K mßudj 13.2cm3 ls' fuu øjudkh uOHidr ødjKfha .s,ajq úg nf|ka 1cm la by,ska mj;sk mßos mdfõ' 1 cm
8 cm
uOHidr
c,h
I II.
uOHidr >K;ajh fidhkak' øjudkfha ialkaOho oek .ekSug wjYH jqfha kï tu w.h o fidhkak' >K;ajh 1.028x103 kgm-3 jk id.r c,h u; >K;ajh 0.917x103 kgm-3 jk úYd, whsia
(b)
l=Üáhla rEmfha mßos mdfjñka mj;s' whsia l=Üáh
id.r c,h
I.
whsiaj, id' >k;ajh fidhkak'
II.
c,fhka by, we;s whsia fldgfia mßudj uq¿ mßudfjka lskï m%;sY;hlao hkak fidhkak'
III.
whsia l=Üáh iïmq¾Kfhkau id.r c,fha .s,ajd ;nd .ekSu i|yd l=Üáh u; 1.5x105N n,hla isriaj fhdohs' whsia l=Üáfha uq¿ mßudj .Kkh lrkak' 2
04' a) nZkq,s uq,O¾uhg wkqj ilik ,o fjkapqÍógrh øjh .,dhdfï iS>%;djh uekSu i|yd Ndú;d lrk WmlrKhls'
h
B
A
I.
k,h ;=,ska >k;ajh jk øjhla .,dhhs kï A yd B ys mSvk fjki fidhkak'
II.
A yd B g wod, yrialv fCIa;%M,hka A1 yd A2 o" m%fõ. V1 yd V2 o kï V1 i|yd m%ldYkhla ,nd .kak'
III.
V1 weiqßka øjh .,dhdfï iS>%;djh (Q) ,nd .kak' A yd B g wod, k,fha wrhka ms%;djh fidhkak' úYd, Ndckfha yrialv fCIa;% k,h 0.5m2 ls' Ndckh m;=f,a isg 0.45m by,ska we;s isÿf¾
b)
yrialv fCIa;%M,h 0.9x10-4m2 ls' rEmfha mßos c, u;=msg wdjrKh jk mßos 25kg l ialkaOhlska hq;a Ndrhla fhdod we;' Ndckfha c, lf|a Wi 1m ls'
1m
0.45m
05'
I.
isÿfrka msgjk c, m%fõ.h"
II.
c,h ìu m;s; úug .;jk ld,h"
III.
c,h fmd,jg m;s; jk ia:dkhg Ndckfha ì;a;sfha isg we;s ;sria ÿr, fidhkak'
ialkaOh fkdi,ld yeßh yels ÿkq ksh; k jq fy,slaiSh ÿkakla tys tla flKdldr jia;=jla ;nd ÿkak x ÿrla iïmSvkh lrhs' A msysgqùfïos jia;=j uqod yßhs' jia;=j B ysos wrh r jk isria jD;a;dldr m:hl my
,Õd fjhs' jD;a;dldr m:fhaos jia;=fõ p,s;hg úreoaOj l%shd;aul jk uOHhl >¾IK n,h F fõ' C
r
m
A
x
B
I.
x ÿrla iïmSvkh ksid ÿkak u; .nvd jq úNj Yla;sh"
II.
B ysos jia;=fõ m%fõ.h 12ms-1 o ÿkafka ÿkq ksh;h 500Nm-1 o jia;=fõ ialkaOh 1kg o uOHhl >¾IKn,h 6N o wrh 1.5m o kï x ys úYd,;ajh yd C ysos jia;=fõ m%fõ.h" fidhkak'
b)
rEmfha mßos 10kg l ;eáhla i¾jiu ÿkq follg iïnkaO lr we;' ;eáh isriaj foda,kh l, úg wdj¾; ld,h 1.5 S ls' ialkaOh M jk ;j;a ;eáhla tu ;eáh u; ;nd kej; foda,kh l<úg wdj¾; ld,h 3 S ls' M ialkaOh fidhkak'
4