OH ;% )උවව් පපෂ( විභාගය - 2011 01 S I General …General Certificate of Education (Adv.level) Examination-2011 විoHd/ගණිත වම්මන්;%ණ

fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh fudrgqj úYaj úoHd,hSh r;akmqr osia;s%la bxðfkare mSG YsIH ixioh

01. iqm¾ fidksla (Super Sonic) .=jka hdkd .uka lrk úg ta wjg jd;h r;aùu wyiahdkd

hdka;% úoHdfúoS (Aero dynamics) my; mqrsh¾ (furior equation ) u.ska ,ndfoa'

T’ = T”𝑒(𝛼+ 𝛽𝑡+𝛾𝑡2)𝑥fuys t hkq ld,h fú' fuys 𝛼, 𝛽, 𝛾 ys udk ms<sfj,ska"

(1) (2) (3) (4) (5)

α = T β = T-1

γ = T-2

x = T

α = udk ke; β = T-1

γ = T-2

x = udk ke;

α = T-1

β = T-2

γ = T

x = T-1

α = udk ke; β = udk ke;

γ = udk ke;

x = udk ke;

α = T β = T-1

γ = udk ke;

x = udk ke;

02. udOHhl isg rsla;lhla ;=,g úoHq;a pqïNl ;rx.hla .uka lrhs' túg tu ;rx.fha"

(1) m%fõ.h wvqfõ'

(2) m%fõ.h jeäfõ

(3) m%fõ.h fjkia fkdfõ

(4) ixLHd;h wvqfõ

(5) ixLHd;h jeäfõ

03. c, gexls 2l c, uÜgï folla w;r fjki fiùu i|yd hál=re lrk ,o U k, uefkdaógrhla rEmfha mrsos Ndú;d lrkq ,efí' olajd we;s ;;a;aj i,lñka .Kkh l,

úg fjki jkqfha" ^øjfha úYsIaG .=re;ajh = 0.9&

(1) 4 cm (2) 3 cm (3) 2 cm

(4) 5 cm (5) 6 cm

04. wdf,dal lsrKhla j¾;kdxlh 3 jQ iDcqfldaKdi%dldr l=Üáhla ;=,g m;k fldaKh

60o la jk mrsos we;=Æfõ' lsrKh ùÿre l=Üáh ;=, 5cm l ÿrla .uka lr bka msgfõ kï" m;k lsrKh yd bka bj;a jk lsrKh w;r ,ïnl ÿr jkqfha"

(1) 5 3 cm (2) 5/2 cm (3) 5 3/2 cm (4) 5cm (5) 5 cm

සයළම හමකම ඇවරණ All Right Reserved

අOHයන පපොද වශතක ප;% (උවව පපෂ) වභාගය - 2011

General Certificate of Education (Adv.level) Examination-2011

වoHd/ගණත වමමන;%ණ මාාල Science/ Maths seminar series

පභෞතක වoHdල - I

Physics – I

Aපකොටව කාය පැය -02ය

01 S I

m%න සයලටම පළතර වපයනන

øjh

පමොරට වල වoHdලය රතනපර දව;%sක ඉංජපනre mSG ශH වංවදය

පභෞතක වoHdල I 2

05. l=yr f.da,hl by, l=vd isÿrla we;' f.da,h ;=,g l%ufhka je,s we;=,q flf¾' moaO;sfha .=re;aj flakaøh"

(1) l%ufhka by,g meñfKa

(2) l%ufhka my,g meñfKa

(3) fjkila isÿ fkdfõ

(4) m<uqj by, ke. wjidkfha uq,a msysgqug meñfKa

(5) m<uqj my, nei wjidkfha uq,a msysgqug meñfKa

06. ihsl,alrefjla rEmfha mrsos A m¾j;fha isg ;sriaj B

m¾j;hg 5ms-1 l m%fõ.hla iys;j mekSug ;e;a lrhs' Tyq B m¾j;h u;g ,Õdjk m%fõ.h jkqfha"^jdhq m%;sfrdaOh

fkdi,ld yrskak" g=10ms-2 fõ'&

(1) 2ms-1

(2) 12ms-1

(3) 25ms-1

(4) 15ms-1

(5) 16ms-1

07. 10cm os. mkqfjla ^yrialv taldldr hehs Wml,amkh

lrkak'&10cm b;d isyska" os. oKavla u;ska .uka lrhs'

wdrïNfhaoS mKqjd 1 rEmfha mrsos bosrs fl,jr lKqfõ uqÿk u; iam¾Y lrñka isák w;r ál fõ,djlg miq mKqjdf.a os. i¾jiuj folg fnfok mrsos lKqj u; isà' m<uq wjia:dfõoS mKqjdf.a .=re;ajfha úNj Yla;sh fojk wjia:dfõoS úNj Yla;shg orK wkqmd;h jkafka"

(1) 1 2 (2) 2 (3) 1 4 (4) 2 3 (5) 1

08. inka nqnq,l wrh r fõ' inka j, mDIaál wd;;sh T kï" WIaK;ajh ksh;j mj;sk mrsos tys wrh fo.=K lsrSug wjYH Yla;sh"

(1) 2𝜋𝑟2𝑇 (2) 4𝜋𝑟2𝑇 (3) 8𝜋𝑟2𝑇 (4) 12𝜋𝑟2𝑇 (5) 24𝜋𝑟2𝑇

09. rEm igyfka oelafjk whqre i¾jiu ,S l=Üá folla c,fha hka;ñka .s,ajd we;af;a

tajdg iïnkaO x yd y f.da, foll wdOdrfhks' f.da, idod we;s øjHfha idfmalaI

>k;ajh S fõ' x yd y f.da, fofla mrsud w;r wkqmd;h jkqfha"

(1) 1 – S (2) 𝑆−1

𝑆 (3) S + 1 (4)

1

𝑆 (5) S

(1) (2)

X

Y



10. -20Co mj;sk whsia 1kg la jdIam njg m;a lsrSug wjYHj we;' -20Co mj;sk whsia 0Co

njg m;a lsrSug wjYH ;dmh Q1 fõ' whsia osh lsrSug wjYH ;dmh Q2 fõ' 0Co we;s c,h

100Co c,h njg f.k taug wjYH ;dmh Q3 fõ' c,h jdYam lsrSug wjYH ;dmh Q4 fõ' túg"

(1) Q4 >Q3 >Q2 >Q1 (2) Q4 >Q3 >Q1>Q2 (3) Q4 >Q2>Q3 >Q1

(4) Q4 >Q2>Q1 >Q3 (5) Q4 >Q1>Q2>Q3

11. jia;=jla ir, f¾Ldjl my; m%fõ.-ld, m%ia:drfhka olajd we;s mrsos p,kh fõ'

(1) uq,a ;;a 10 we;=,; uOkH m%fõ.h

32/10 ms-1 fõ'

(2) m,uq ;;a 3 i|yd m%fõ.h taldldr jk

w;r th 4ms-1 fõ'

(3) t=3s yd t=8s ;=, jia;=jg ksh; ;ajrKhla we;'

(4) t=3s yd t=8s ;=, jia;=jg ksh; ukaokhla we;'

(5) m%ia:drfha j¾.M,fhka jia;=fõ uOkH m%fõ.h ,efí'

12. jd;fha ksh; mSvkfhaoS mrsud m%idrK;dj fiùu i|yd fl,jrla jeiqkq k,hla ;=, mj;sk riosh l|lska isrlr we;s jd; mrsudjla Ndú;d flf¾' my; i|yka lreKq i,ld n,kak'

(a) WIaK;aajh by, kxjñka iy my, niajñka tla tla WIaK;ajfhaoS jd; lf|a os. i|yd mdGdxl hq.,h jYfhka ,nd .ekSu'

(b) jd; lf|a os. i|yd ,efnk mdGdxl w;r jeä úisreula ,nd.ekSu i|yd m<,a isÿrla we;s k<hla fhdod .ekSu'

(c) jd; lf|a os. i|yd ,efnk mdGdxl w;r jeä úisreula ,nd.ekSu i|yd jeä jd; mrsudjla k<h ;=, isrlr .ekSu'

mrSlaIKfhaoS ksjeros m%;sM, ,nd.ekSu i|yd by; lreKq j,ska l=ula /l=uk tajd isÿl,

hq;=o?

(1) a muKs' (2) b muKs' (3) c muKs' (4) a yd b muKs' (5) a yd c muKs'

13. lsishï R m%;sfrdaOhla yryd mj;sk úNj wka;rh (V) fjdA,aÜógrhla uÕska uekfï§"

(a) fjdA,aÜógrfha m%;sfrdaOh 10kΩ muK jk úg (V) mdGdxlh R yryd mej;s úNj wka;rhg iudk fõ'

(b) R m%;sfrdaOhg iudka;r.;j fjdA,aÜógrh iïnkaO l, hq;=h'

(c) fjdA,aÜógrfha m%;sfrdaOh R jk úg (V) mdGdxlh th ;eîug fmr R yryd ;snQ úNj wka;rfhka wvla fõ'



ñka i;H jkafka"

(1) B muKs (2) B yd C muKs (3) A yd C muKs (4) A yd B muKs

(5) ish,a,u

14. tla fl<jrla jeiQ Tr., k,hl (Oragan pipe) iM, os. 0'68m fõ' fuys wkqkdo jk wju ixLHd;hka fol úh yelafla"

(1) 125 Hz yd 250Hz.

(2) 500Hz yd 1000Hz.

(3) 250Hz yd 500Hz.

(4) 250Hz yd 750Hz.

(5) 125Hz yd 350Hz.

15. j¾Kdj,sudkhl 0.5 fldgia j,ska l%udxlkh lr we;s jD;a;dldr m%Odk mßudKhla we;' fuu mßudKfha fldgia 14 la iudk fldgia 15 lg fn§fuka j¾ksh¾ mßudKh ;kd we;' WmlrKfha l=vdu ñkqu jkafka"

(1) 1° (3) 1/40° (5) 1/60°

(2) 1/30° (4) 1/28°

16. ixLHd;h 480 Hz jk iriq,la yd èjksudk lïìhla tljr kdo l< úg ixLHd;h 6

Hz jk iamkao weiqks' iriqf,a tla oe;a;lg ma,diaála lene,a,la kexjŒ úg iamkao

ixLHd;h 4 Hz olajd wvq úh' èjksudk lïìfha ixLHd;h jkqfha"

(1) 474 Hz (2) 476 Hz (3) 478 Hz (4) 482 Hz (5) 486Hz

17. olajd we;s wjia:d fofla§u øj Ndckfha nr W jk w;r iAlkAOh u; øjh uÕska we;s

lrk W;ama,djl;d n,h U fõ' (a) yd (b) wjiA:dj,§ ;rdos mdGdxl ms<sfj,skA,

(1) W+U , W+Mg

(2) W-U , W-Mg

(3) W + 𝑈

2 , W+Mg

(4) W+U , W+ 𝑀𝑔

2

(5) W + 𝑈

2 , W+

𝑀𝑔

2

(a) (b)



18. rEmfhA olAjd we;Af;A ùÿre l=ÜáhlA ;=, we;s jdhq l=yrhlskA iukAú; jdhq l=yrhlskA ieos ms%iAuhls'

lsishï wdf,dal lsrKhla i|yd wm.uk fldaKh d

o, m;k fldaKh yd ks¾.; fldaKh i1 yd i2 kïs

ms%iAu fldaKh A iïnkaO ksjeros m%ldYh,

(1) d= (i1+i2)-A (2) d= A-(i1-i2) (3) d= (i1-i2)+A

(4) d= A-(i1+i2) (5) d= (i1-i2)-A

19. tlu WIaK;ajfha mj;sk A yd B n÷ka follg i¾jiu øj mrsudjka oud iudk

WIaK;aj j,g r;a l, úg øjfha oDIH m%idrK ix.=Klhka ms<sfj,ska γ1 yd γ2 fõ. A

ys f¾Çh m%idrK;dj α1 kï B ys f¾Çh m%idrK;dj jkqfha"

(1) (𝛾1−𝛾2)

3− α1 (2)

(𝛾1−𝛾2)

3+ α1 (3)

(𝛾1+𝛾2)

3+ α1

(4) (𝛾2+𝛾1)

3− α1 (5)

(𝛾2−𝛾1)

3+ α1

20. kefkda wxY+kaf.a fhoSula fkdjkafka"

(1) kefkda áhqí (2) fros ms<s ksIamdokh (3) ms<sld m%;sldrl

(2) ix.Dys; mrsm: ksIamdokh (5) uDÿldx. ks¾udKh

21. rEmfhA olAjd we;Af;a ir, wj,ïnhla mD:sú mDIAGh u; yd

mDIAGfhA isg R ÿrlskA mj;sk úg fodA,kh jk wjiA:djls' A

wjiA:dfõ fodA,k ld,dj¾;h TA yd B oS ld,dj¾;h TB kï TB

TB / TA w;r wkqmd;h"

(1) 1 (2) 2 (3) 1

2 (4) 2 (5) 4

22. rEmfhA mrsos j¾;kdxlh n1 jk ùÿre l=ÜáhlA

j¾;kdxlh n2 jk c,fhA ;nd we; (n1>n2)' AB

mDIAGhg α fldAKhlA wdk;j wdf,dAl lsrKhlA

,efí' fuu lsrKh CD j,skA bj;g jk mrsos α ;sìh yels Wmrsu w.h"

(1) α = sin−1[𝑛1

𝑛2cossin−1 𝑛2

𝑛1]

(2) α = n1 cos[sin−1(1

𝑛2)]

(3) α = sin−1(𝑛1

𝑛2)

(4) α = sin−1[𝑛1

𝑛2cossin−1 𝑛1

𝑛2]

(5) α = sin−1(𝑛2

𝑛1)



23. l os. fofl<jr ixjD; nghlA ;=< jd l|la isr lr we;' ksh; WIaK;ajfha oS uQ,sl

;dkfhA ixLHd;h n, l iuÕ úp,kh jk whqre ksjerosj olAjkAfkA l=ulskAo@

24. iudk m%;sfrdAO ;=klA my; oelafjk mrsos l%u y;rlg iliA lr tlu Odrdjla hejQ úg

thska ;dm Yla;sh ksmojk iS>%;d I1, I2, I3, I4 fõ kï tajd w;r ksjeros iïnkaOh l=ulao@

(1) I1 > I2 > I3 > I4 (2) I1 > I2 > I4 > I3 (3) I1 < I2 < I3 < I4 (4) I1 < I2 < I4 < I3

(5) I1 > I2 = I3 > I4

25. rEmfha mrsos wxY=jla taldldr 𝑣 fõ.fhka jD;a;dldr

ud¾.hl .uka lrhs. A ,laIHfha isg hï ÿrla .uka

l, úg B ,laIHh ,enqkq w;r A yd B j,oS m%fõ.

w;r fjki 3𝑣 fõ. A isg B olajd hk úg wxY=j flakaøfha wdmd;kh lrk fldaKh jkqfha"

(1) 400 (2) 20

0 (3) 60

0 (4) 120

0

(5) 1500

26. my; olajd we;s ish¿u fldaI j, wNHka;r m%;sfrdaOh

Y=kH fõ' B mrsm:fha laIu;d ydksh A mrsm:fha laIu;d

ydkshg iudk lsÍug B mrsm:fha m%;sfrdaO j, w.h R

isg

(1) 4R olajd fjkia l, hq;=h s'


(3) 𝑅 2 olajd fjkia l, hq;=h s'


(5) 𝑅 8 olajd fjkia l, hq;=h s'

n

l

(3)

n

l (2)

n

l (1)

n

l

(4)

n

l (5)



27. my; l=uk m%ldYh$ m%ldY wi;H fõo@

(a) ;ka;=jl .uka .kakd ;rx. iaMkao ;S¾hla ;rx. fõ'

(b) jd;h ;=, Yío ;rx.h iïmSvk yd úr,k iys; ;S¾hla ;rx. fõ'

(c) 800C oS Yío ;rx.fha fõ.h 20

0C oS fuka fo.=Khl s'

(d) Yíofh a 60dB oS ;Sj%;dj 30dB oS ;Sj%;dj fuka fo.=Khls'

(1) a muKs (2) d muKs (3) c yd d muKs (4) b yd c muKs

(5) b, c yd d muKs

28. rEmfha oelafjkafka os. ms<sfj,ska 40cm yd 24cm

jQ tlu øjHfhka ;ekQ P yd Q iudlaI taldldr

is,skavr folls' fïjdfha úYalïNhka 5cm yd 3cm

ne.ska fõ' P k,fha ksoyia fl,jf¾ isg moaO;sfha .=re;aj flakaøhg we;s ÿr"

(1) 25.7cm (2) 32.4cm (3) 28.1cm (4) 27.5cm (5) 30.8cm

29. rEmfha oelafjk S iaúph ixjD; l, úg úfudaplfha .uka lrk Odrdj jkqfha" ^ir, Odrd

,dNh 99la o g%dkaisiagrh Si o fõ&

(1) 10-4

A (2) 10-2

A (3) 10-1

A

(4) 1 A (5) 0.99 A

30. iudk yrialv iys; fjkia A yd B ;yvq folla w;r wkjr; wjia:dfõoS WIaK;ajh my; m%ia:drfhka ksrEmkh fõ' ;yvq j, ;dm ikakdhl;d w;r wkqmd;h

(1) 2: 3 (2) 5: 2 (3) 1: 1 (4) 3: 5

(5) 5: 3

31. ialkaOh m jQ wxY=jl a –q1 l wdfrdamKhla iys;j ksh; +q2 l wdfrdamKhla flakaø lr

.ksñka wrh r jq jD;a;dldr m:hl .uka wrUhs kï –q1 wdfrdamKfha mrsN%uK wdj¾; ld,h jkqfha"

(1) 𝑇 = 15𝜋3𝜀0𝑚𝑟

𝑞1𝑞2 (2) 𝑇 =

16𝜋3𝜀0𝑚𝑟2

𝑞1𝑞2 (3) 𝑇 =


𝑞1𝑞2

(4) 𝑇 = 16𝜋3𝜀𝑚𝑟2

𝑞1𝑞2 (5) 𝑇 =


𝑞1𝑞2



32. wp, jdhq ialkaOhla rEmfha fmkajd we;s

l%shdj,shlg Ndckh l, úg jdhqfõ mrsudj V

bosrsfha P ys m%ia:drh rEmfha oelafõ' jdhqfõ mrsudj

V bosrsfha tys ksrfmalaI WIaK;ajh (T) úp,kh jk whqre jvd;a fyd¢ka oelafjk m%ia:drh l=ulao@

33. .e,ajfkdaógrhl wNHka;r m%;sfrdaOh 1Ω jk w;r tys mQ¾K mrsudK W;al%uKh 5mA

fõ' th 1A iys; weógrhla njg m;a lsrSug .e,ajfkdaógrh iïnkaO l, hq;= m%;sfrdaOfha w.h jkqfha"

(1) 1

1000Ω (2)

10

995Ω (3)

1

199Ω (4)

2

1995Ω (5) 1Ω

34. ialkaOh 150kg la nrska hq;= ;sria oKavla hx udmdxlhka Y1, Y2 yd Y3 jQ iudk

yrialv iys; isria lïì ;=klska t,a,d ;sria uÜgfï we;' fuys Y2 lïìh jia;=fõ

uOH ,laIHfhka t,a,d we;' Y2 = 2y1 f,i f.k my; m%ldYk i,ld n,kak'

(a) I yd III lïì j, hx udmdxl iudk fõ'

(b) I yd III lïì j, wd;;ska iEu úgu iudk fõ'

(c) I yd III lïì j, wd;;ska fjkia fõ'

(d) II ys wd;;sh 75g fõ'

ñka i;H jkafka"

(1) a muKs (2) a yd b muKs (3) a,b yd c muKs (4) a,b yd d muKs

(5) ish,a,u

35. ú,dhl lïìhla ;=,ska heúh yels Wmrsu Odrdj I fõ' wfkl=;a ish¿ idOl i¾jiu jQo m<uq lïìh fuka fo.=Khl úYalïNhla we;s jQ o ú,dhl lïìhla ;=,ska heúh yels Wmrsu Odrdj"

(1) 2I (2) 2I (3) 2 2I (4) 4I (5) I2



36. rEmfha olajd we;af;a whsia j, ú,hkfha úYsIaG .=ma; ;dmh fiùug ilia l, úoHq;a mrsm:hla iys; mrSlaIKhls' fuysoS ,nd .; hq;= mdGdxlh jkqfh a"

(1) whsia oshjk úg ,efnk c, ialkaOh

(2) whsia ys WIaK;aj fjkia ùu

(3) whsi a osh ùug .; jk ld,h

(4) úoaHq;a iemhqfï fjda,aàh;dj

(5) whsia wvx.= Ndckfha ialkaOh

37. ldphla u.ska P ,laIHh foig rEmfha mrsos

wdf,dal loïNhla wNsidrS fõ' fuu ;srh P/ ys

wNsidrS lsrSu i|yd 0.1cm >klu ùÿre ;eá

lShla tlg ;eìh hq;=o@ P yd P/ w;r ÿr 0.3cm

jk w;r ùÿre j¾;kdxlh 1.6 fõ'

(1) 3 (2) 8 (3) 4 (4) 2 (5) 12

38. AB yd BC hkq B ysoS iïnkaO l, flaIsl k, folls' tajd os.ska iudk jk w;r AB ys

úYalïNh BC ys úYalïNh fuka fo.=Khl s' ixhqla; k,h ;sria fõ' A ;=,ska we;=¿ jk

øjh C j,ska msgùug i,iajd we;' wkjr; wjia:dfõ oS l=vd k,h yryd mSvk wka;rh uq¿ mSvk wka;rfhka ljr Nd.hla o@

(1) 1 16 (2) 1 17 (3) 1516 (4) 1 4 (5) 16

17

39. udOHhl ia:djr ;rx.hla we;s jk úg yg.kakd úia:dmk m%iamkao ms<sn|j my; lreKq i,lkak'

(a) wkqhd; úia:dmk m%iamkao folla w;r mr;rh ;rx. wdhduhg iudk fõ'

(b) úia:dmk m%iamkaohla mj;sk ia:dkhl jQ ,laIHh Wmrsu úia;drhlska lïmkh fõ'

(c) úia:dmk m%iamkaohla mj;sk ia:dkhl jQ ,laIHh wju fõ.hlskaa lïmkh fõ'

ñka i;H jkafka"

(1) a muKs (2) b muKs (3) c muKs (4) a yd b muKs (5) b yd c muKs

40. lD;Su pkaøsldjla rEmfha oelafjk mrsos mD:súh jgd jQ b,smaiSh llaIhl .uka lrhs' tys

mD:súhg wdikaku ,laIHh A jk w;r ÿru ,laIHh B fõ' mD:súfha isg A yd B g

ÿrj,a ms<sfj,ska rA yd rB o tu ia:dk A yd B ysoS pkaøsldfõ iam¾YSh m%fõ.hka VA yd

VB o kï VA yd VB w;r wkqmd; jkafka"

^p,s;h mqrdjgu pkaøsldj u; flakaøh foig fhfok n,h ksh; hehs i,lkak&

l=vq lrk ,o whsia

.s,a,qï ;dmlh

cQ,a ógrh

úoHq;a iemhqu



(1) 𝑉𝐴

𝑉𝐵=

𝑟𝐴

𝑟𝐵 (2)

𝑉𝐴

𝑉𝐵=

𝑟𝐵

𝑟𝐴 (3)

𝑉𝐴

𝑉𝐵=

𝑟𝐴

𝑟𝐵 (4)

𝑉𝐴

𝑉𝐵=

𝑟𝐵

𝑟𝐴 (5)

𝑉𝐴

𝑉𝐵=

𝑟𝐴2

𝑟𝐵2

41. my; olajd we;s mrsm:fha wvx.= fldaIfha

wNHka;r m%;sfrdaOh 4Ω fõ' mrsm:fh Wmrsu

laIu;djhla mej;Sug R w.h úh hq;af;a"

(1) 2Ω (2) 4Ω (3) 1Ω (4) 8Ω

(5) 10Ω

42. rEmfha oelafjkqfha .e,ajfkdaógr W;al%uKh Y=kH jk

óg¾ fia;= ieleiauls' óg¾ fia;= lïìfha os. 1m ls' R m%;sfrdaOfha w.h jkqfha"

(1) 110 Ω (2) 55 Ω (3) 13.75 Ω (4) 220 Ω

(5) lsisjla fkdfõ

43. oKav pqïNlhla oÕrh ;=,g yd bka bj;g fkdlvjd .uka lrhs' A, B yd C .ek my; m%ldY j,ska i;H jkafk a"

A B C

(1) ksfjñka oe,afõ os.gu oe,afõ os.gu oe,afõ

(2) ksfjñka oe,afõ os.gu oe,afõ fkdoe,afõ

(3) os.gu oe,afõ fkdoe,afõ fkdoe,afõ

(4) fkdoe,afõ os.gu oe,afõ oe,afõ

(5) os.gu oe,afõ os.gu oe,afõ os.gu oe,afõ

E, r=4Ω



44. f.da,h iu;=,s;;djfha mj;ajd .ekSug ndOlfha ;sìh hq;= wju Wi jkqfha"

(1) 𝑅

1+ cos 𝜃 (2)

𝑅

1+ sin 𝜃 (3)

𝑅

1− sin 𝜃

(4) 𝑅 1 − sin 𝜃 (5) 𝑅 1 − cos 𝜃

45. Q wdfrdamKhla iys; >k ikakdhl f.da,hla wkdfrdams; l=yr f.da,hla ;=, tal flakaøShj we;' >k f.da,fha mDIaGh yd l=yr f.da,fha msg; mDIaGh w;r úNj fjki

V fõ' Q wdfrdamKh tf,iu ;nd l=yr f.da,hg -3Q wdfrdamKhla ,nd ÿka úg tu m,uq mDIaG fol w;r úNj fjki jkqfha"

(1) V (2) 2V (3) 4V (4) -2V (5) -V

46. m%ldY úoHq;a wdprKh úh yels f,dayhla u;g jefgk wdf,dalfha ixLHd;h yd ;%Sj%;djh hk folu fo.=K l, úg"

(a) m%ldY Odrdj fo.=Khla jk w;r kej;=ï úNjfha úYd,;ajh wvq fõ'

(b) Wmrsu pd,l Yla;sh jeä jk w;r m%ldY Odrdj fo.=K fõ'

(c) m%ldY Odrdj wvq ù pd,l Yla;sh jeä fõ'

ñka i;H jkafka"

(1) a muKs (2) b muKs (3) a yd b muKs (4) d muKs (5) d yd b muKs

47. fl,jrla muKla újD; k,hl jQ jd l|la iriq,la iuÕ wkqkdo jk wkqhd; os.

m%udK y;rlska uq,a iy wjidk os. m%udK fol 45cm yd 99cm fõ' k,h ;=, wvx.= jd;fha èjks ;rx. j, wdhduh

(1) 36cm (2) 54cm (3) 108cm (4) 144cm (5) 180cm

48. ;eáfha ;,hg ,ïNlj we;s taldldr B pqïNl lafIa;%hla ;=, 𝜔 fldaKsl m%fõ.fhka o

flakaøfha fõ.h V jk mrsos wrh r jQ ;eáhla ;sria mDIaGhla u; ,siaiSulska f;drj

fmrf,a' O hkq ;eáfha flakaøh jk w;r P, Q, R yd S hkq ;eáfha ,laIH y;rl s'

(a) W;a;drKh ksid PS yryd fm%ars; ú'.d'

n,h BVr fõ'

(b) N%uKh ksid QS yryd fm%ars; ú'.d' n,h Y=kH fõ'

(c) W;a;drKh ksid RO yryd fm%ars; ú'.d'

n,h Y=kH fõ'

(d) N%uKh ksid OQ yryd fm%ars; ú'.d' n,h

BVr fõ'



by; m%ldY j,ska i;H jkafka"

(1) a yd d muKs (2) a yd c muKs (3) b,c yd d muKs

(4) a,c yd d muKs (5) ish,a,u

49. isyska k,hla øjhlska mqrjd rEmfha mrsos is,skavrhla u; ;nd we;' mDIaG w;r ,siaiSula isÿ fkdjk nj Wml,amkh lrñka øjh msg;g fkdmeñKSu i|yd is,skavr j, ;ajrK jkqfha"

(1) 𝑔𝐻

2𝐿 (2)

𝑔𝐻

𝐿 (3)

2𝑔𝐻

𝐿

(4) 8𝐻

2𝐿 (5)

𝑔𝐻

2𝐿

50. lssishï lDIaK jia;=jla i|yd T1 yd T2

ksrfmalaI WIaK;aj j,oS ,nd .;a ;Sj%;d jHdma;Skag wod, jl% my; m%ia:drfhkaa oelafõ'

fuys 𝑎 = 8 × 10−2𝑚 o 𝑏 = 2 × 10−2𝑚 o

fõ' fuúg tu T1

T2 wkqmd;h jkafka"

(1) 1 2 (2) 1 8 (3) 2 (4) 1 4

(5) 1

51. my; oelafjk l=ula wi;H fõo@

(1) mrsirfha we;s c, jdIam j,ska mrsirh hka;ï ix;Dma; jk WIaK;ajh" ;=Idr wxlhh s'

(2) ;=Idrdxlh ieu úgu mrsir WIaK;ajhg jvd wvq úh hq;=h'

(3) ;=IdrdxlfhaoS mrsirfha idfmalaI wd¾ø;djh 100% ls'

(4) ;=IdrdxlfhaoS ix'jd'mS' = ldur WIaK;ajfha ix'jd'mS' × idfmalaI wd¾ø;djh

(5) jdIamSlrK YS>%%;dj mrsirfha wd¾ø;djh u; rod mj;S

52. mqoa.,fhla 40 V n,anhla o,ajd .ekSug úoHq;a Yla;sh imhd .ekSug Tyqf.a kdk nd,aosh

Ndú;d lsrSug ;SrKh lf,ah' th fmdf,dj uÜgug 10 m by,ska msysgd we;s w;r 0.2

m3 c, m%udKhla wvx.= fõ' Tyq fmdf,dfõ c,fhka lrlefjk frdaohla iú l, w;r

n,anh oe,aùu i|yd c,h m kg s-1

m%udKhl fõ.fhka c,h bj;a úh hq;= nj;a

wdrïNfhaoS kdk nd,aosh msrS ;snqKq úg fuu fõ.h hgf;a n,anh t ld,hla oe,afjk

nj;a Tyq ksrSlaIKh lrk ,oS' g = 10 ms-2

o c,fha >k;ajh 1000 kg m-3

o úoHq;a

cklfha laIu;djh 80% o kï m yd t jkqfha"



(1) m = 1 kg s-1

, t = 200 S (2) m = 1.2 kg s-1

, t = 300 S

(3) m = 0.6 kg s-1

, t = 400 S (4) m = 2 kg s-1

, t = 300 S

(5) m = 0.5 kg s-1

, t = 400 S

53. wdfrdamKh Q ne.ska jQ ksh; ,laISh wdfrdamK foll a 2𝑙 ÿrlska ;nd we;' ;j;a

ialkaOh m j Q –q wdfrdamKhla m<uq wdfrdamKh hd lrk f¾Ldfõ uOH ,laIHfha isg

tu f¾Ldjg ,ïNl jQ osYdj Tiafia m%lafIamkh lrkq ,efí' tu ,ïNl f¾Ldj u; x

ÿrloS úoHq;a lafIa;%h

(1) 1

4𝜋𝜀0

𝑄𝑋

(𝑋2+ 𝑙2)3

2 (2)

1

2𝜋𝜀0

𝑄𝑋

(𝑋2+ 𝑙2)3

2 (3)

1

2 2𝜋𝜀0

𝑄𝑋

(𝑋2+ 𝑙2)3

2

(4) 2 2

𝜋𝜀0

𝑄𝑋

(𝑋2+ 𝑙2)3

2 (5)

1

8𝜋𝜀0

𝑄𝑋

(𝑋2+ 𝑙2)3

2

54. rEmfha mrsos m%;sfrdaO lsysmhla tlsfkl yd iïnkaO lr we;' A yd B w;r iul

m%;sfrdaOh jkqfha"

(1) 6 Ω (2) 12 Ω (3) 9 Ω

(4) 15 Ω (5) lsisjla fkdfõ'

55. olAjd we;s rEmfhA P1Q1 yd P2Q2 lïì 5cms-1 l iudk fõ.j,skA mS,s u; ,siAid hh s'

fuu m%foAYfhA 1T pqïNl lAfIA;%hlA mj; S' 9Ω m%;sfrdAOfhA úoHq;A Odrdj jkqfhA,

(a) lïì folu jï mig p,kh fõ kï Y=kH fõ'

(b) lïì fol m%;súreoaO osYd j,g .ukA lrhs kï Y=kH fõ'

(c) lïì folu jï mig p,kh fõ kï 0.2mA fõ'

(d) lïì fol m%;súreoaO osYd j,g p,kh fõ kï 0.2mA fõ'

ñka i;H jkafka"

(1) c muKs.

(2) b yd c muKs.

(3) b yd d muKs.

(4) c yd d muKs.

(5) a,c muKs.



56. A yd B ,laIH w;r o B yd C ,laIH w;r o úNj fjki ms<sfj,ska"

(1) 25 V yd 75 V

(2) 50 V yd 50 V

(3) 45 V yd 75 V

(4) 30 V yd 80 V

(5) 50 V yd 75 V

57. iqud;%d ¥m;a j, we;s jk N+lïmk ;rx.hla ksid Y%S ,xldjg ydks we;sùug tys wju

w.h rsÉg¾ udml 7 la jk w;r úia;drh 24km fõ' 2004 foieïn¾ ui 26 jk osk Y%S

,xldjg n, mE N+ ;rx.fha rsÉg¾ udml w.h 9 l s' tfia kï tu ;rx.fha úia;drh jkqfh a"

(1) 24 km (2) 2400 km (3) 2400 mm (4) 24 m (5) 12 km

58. tla;rd msysàul isÿ jQ N+ñ lïmdjla u.ska ;S¾hla ;rx.hla" ^S ;rx.hla& iy

wkajdhdu ;rx.hla ^P ;rx.hla& cks; lrh s' ;rx. folu mD:súh yryd .uka lrk

w;r mD:súfha tu ,laIHfha isg 1440 km ÿrska N+ñlïmdj isÿ jQ nj fidhd .kakd ,oS'

S ;rx.hla ,Õd ùug ñks;a;= 3lg fmr P ;rx.hla mD:súhg ,Õd jQfha kï iy S

;rx.fha fõ.h 4 km s-1

kï P ;rx.fha fõ.h jkqfha"

(1) 12 km s-1

(2) 4 km s-1

(3) 8 km s-1

(4) 2 km s-1

(5) 8 m s-1

59. m%ia:dr fofla oelafjk X yd Y rEmfha oelafjk ;d¾lsl oajdr moaO;shg m%odkh l, úg tys m%;sodkh my; l=uk m%ia:drfha oelafõo@

C



60. iudka;r AB yd CD f,day m;=re folla u; m%;sfrdaOhla we;s XY lïìh rEmfha mrsos

;nd we;s w;r XY fomi tu úYd,;ajhu we;s tfy;a osYdj muKla fjkia taldldr

pqïNl lafIa;% folla ;,hg ,ïNlj l%shd lrh s' RS yd PQ hk m%;sfrdaOh we;s lïì fol" f,day m;=re iuÕ iam¾Y fjñka tl iudk úia;dr iys; ir, wkqj¾;S p,s; j,

fhfokafk a RS mgka f.k ;;amrhlg miq PQ p,kh wdrïN lrk mrsosh' lïì folu

wdrïNfhaoS tajdfha p,s; j, uOHl msysàfï ;sî XY foig .uka wdrïN lrkq ,nhs

kï o" p,s; j, wdj¾; ld,hka ;;amr 2 ne.ska o kï lïì folu ;;amr 4 ne.ska

p,kh jk úg tu ;;amr 5 ;=, XY f.a Odrdj fjkia jk m%ia:drfha yevh fidhkak'

p,kh jk m%foaYh p,kh jk m%foaYh

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OH ;% )උවව් පපෂ( විභාගය - 2011 01 S I General …General Certificate of Education (Adv.level) Examination-2011 විoHd/ගණිත වම්මන්;%ණ