Problems in Mechanics

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Advance level physics hdka;% õoHdj ir, f¾Çh p,s;h 1). 4ms -1 yd 5ms -1 fõ.fhka .uka lrk ñksiqka fofofkla tlsfklg úreoaO ÈYdjkag .uka lrk úg Tjqka w;r ÿr 12m la jk úg .;jk ld,h fidhkak' 2). fudag¾ r:hla A isg B olajd we;s ÿr 40ms -1 tAldldr fõ.fhka .uka lr B isg A olajd tu ud¾.h Tiafiau 30ms -1 tAldldr fõ.fhka wdmiq ths'iïmq¾K .uk ioyd r:fha idudkH m%fõ.h yd iudkH fõ.h fidhkak' 3). fudag¾ r:hla uq,a w¾Oh v 1 fõ.fhka .uka lrk w;r fojk w¾Oh v 2 fõ.fhka .uka lrhs'uq¨ .uk ioyd idudkH fõ.h fidhkak' 4). fudag¾ r:hla ;u uq,a w¾O ld,fha§ v 1 fõ.fhka .uka lrk w;r fojk w¾O ld,fha§ v 2 fõ.fhka .uka lrhs'uq¨ .uk ioyd idudkH fõ.h fidhkak' 5). tlsfklg <.djk mßÈ ÿï¾h folla 30kmh -1 yd 10kmh -1 fõ. j,ska .uka .kS' ÿï¾h foll 40km l ÿrlska fjkajk wjia:dfõ§ l=re,af,la tla ÿï¾hl tkaðfï isg wfkla ÿï¾h lrd 50kmh -1 fõ.fhka .uka wdrïN lrhs'fojk ÿï¾h uqK .eiqKq jydu l=re,a,d ÈYdj udrelr m<uq ÿï¾h lrd m,uq fõ.fhkau mshdir lrhs'fï whqßka fkdlvjd ÈYdj fjkia lrñka ÿï¾fhka ÿï¾hg l=re,a, mshdir lrhs kï ÿï¾h fol .efgk wjia:dj jk úg l=re,a,d .uka lr we;s uq¨ ÿr fidhkak' 6). A yd B fudag¾ r: 2la tlu ia:dkhlska mgka f.k tlu ÈYdjg tlu ud¾.fha .uka lrhs' A yd B fudag¾ r: fofla m%fõ. ms,sfj,ska 50kmh -1 iy 1

description

The model question set for GCE Advanced level Physics- Mechanics

Transcript of Problems in Mechanics

Advance level physics

Advance level physics

hdka;% oHdjir, fh p,s;h1). 4ms-1 yd 5ms-1 f.fhka .uka lrk ksiqka fofofkla tlsfklg reoaO Ydjkag .uka lrk g Tjqka w;r r 12m la jk g .;jk ld,h fidhkak'

2). fudag r:hla A isg B olajd we;s r 40ms-1 tAldldr f.fhka .uka lr B isg A olajd tu ud.h Tiafiau 30ms-1 tAldldr f.fhka wdmiq ths'imqK .uk ioyd r:fha idudkH m%f.h yd iudkH f.h fidhkak'

3). fudag r:hla uq,a wOh v1 f.fhka .uka lrk w;r fojk wOh v2 f.fhka .uka lrhs'uq .uk ioyd idudkH f.h fidhkak'

4). fudag r:hla ;u uq,a wO ld,fha v1 f.fhka .uka lrk w;r fojk wO ld,fha v2 f.fhka .uka lrhs'uq .uk ioyd idudkH f.h fidhkak'

5). tlsfklg %;djhlska m;kh f' jy,h u; jefuka miq jeys f m%f.h Y=kH nj Wml,amkh lr jy,hg ,Nlj we;s jk n,h;a jy,h u; mSvkh;a fidhkak' c,fha >k;ajh 1000kgm-3 f'

83). ,S fldghla me,Su ioyd l+Cohla .ik ksfila 20kg la jk ksfila 1'8m l rla isriaj Tijd ksoyfia my,g fmd,hs' l+Coh u; jeug i,iajhs' h l+Coh u; .e mj;sk ld,h 0'1s k" h fmd,d fkdmhsk nj Wml,amkh fldg l+Coh u; we;sjk n,h fidhkak'

84). CISrmdhs if;l=f.a mdofha tla iamkaOhl wdikak jYfhka rerh 20g la 0'1s l ld,hl 0'25cms-1 isg 0'35cms-1 olajd ;ajrKh f' mdofha fmaYsh u.ska fhdokq ,nk n,fha Yd,;ajh wdikak jYfhka fidhkak'

85). ialkaO ms,sfj,ska M yd m jq A iy B k l= 2 la rEmfha we;s m ;sria iqug fihla u; tlsfklg iamY jk fia ;nd we;' F jq ;sria n,hla A u; fhd we;' B u; ls%hd lrk n,fha Yd,;ajh fidhkak'

fh .uH;d ixia;sh86). 4ms-1 m%f.fhka iqug ;sria ;,hla u; p,kh jk 200g ialkaOhla we;s A k f,day l=la 6ms-1 l m%f.fhka tu ;,h u; m%;sreoaO Ydjg p,kh jk 100g l ialkaOhla we;s B k f,day l=hla iu. .ef' .egqfuka miq f,day l= fol ;ks jia;=jla fia p,kh f k" moaO;sfha fmd m%f.h fidhkak'

87). ;sriaj .uka .kakd 25g lska hq;a WKavhla 100ms-1 l m%f.hla we;sj fih u; ksi,j ;sfnk 475g l ialkaOhla we;s ,S l=hla ;=,g ldj' bka miq WKavh iy ,S l=h .uka .kakd wdrNl fmd m%f.h fidhkak' fih ksid ,S l=h u; we;s lrk >IKh 5N la k" th ksi, ug .;jk ld,h fidhkak'

88). 20g l ialkaOla we;s WKavhla 100ms-1 l m%f.hlska ialkaOh 1kg la jk ;=jlal=jlska msg f' ;=jlal=j jdx.=jk m%f.h lrkak'

89). ,sh fnda, ls%vdjl tla lS%vlfhla A fnda,fhka ksYap,j we;s B fnda,hlg 5ms-1 tAldldr m%f.fhka j' B yd .efuka miq A fnda,h tys uq,a Ydjlg 600 lska wdk; jq Ydjla Tiafia B fnda,h A ys w;a Ydjg iDcq flda jq Ydjla Tiafiao .uka .kS' .efuka miq A yd B j, m%f. fidhkak' fnda, j, ialkaO iudk jk w;r fih iqug f'

90). 540kmh-1 ;sria m%f.fhka .uka .kakd 5000kg ialkaOhla we;s hqO wyia hdkhla tA ;=, yg.kakd msmsfuka ialkaOka 3000kg yd 2000kg ne.ska le,s 2 lg f' jvd f,dl= lene,a, wfkflg idfmaCIj 400ms-1 l m%f.hlska hdkfha uq,a Ydjg m%;sreoaO Ydjlg is fjhs k" tla tla lene,af,a wdrNl m%f. fidhkak'

91). 72kmh-1 m%f.fhka .uka .kakd 1000kg nr ldrhla uxikahl ;sx. ls%hd rys; u ksid k;r fkd thg iDcqflda Ydjlska 54kmh-1 m%f.hlska meKs 4000kg nr f,dhla yd .ef' .egqfuka miqj tlg we hk ldrh;a f,dh;a k;r ug fmr 5m rla we .sfha k tfia we hk Ydjla k;r u ioyd ukaokh we;s lrjq >IK n,h;a fidhkak'92). 20g ialkaOhla iys; WKavhla isriaj by,g f.dia isria ;ka;=jla ksoyfia t,a,d ;sfnk 4kg l ialkaOfhka hq;a ,S l=hla ;=,g ld jefuka miqj WKavh iu. ,S l=h 2m Wilg kef.a k" WKavfha uq,a m%f.h fidhkak'

93). m%f.hla iys;j wNHdjldYfha mdfjk frdl hdkhla yiaisfha msms f.dia len,s 3 lg lef' ka l=vd len,s 2 ys ialkaO tl iudk jk w;r tAjd 60ms-1 m%f. j,ska frdlgfha uq,a Ydj iu. 450 l fldaKhla idok Yd 2la Tiafia bhg .uka lrhs' l=vd lene,a,l ialkaO fuka 3 .=Khl ialkaOhla we;s f,dl= lene,a, frdlgfha uq,a Ydjg m%;sreoaO Ydjg .uka .kS k" tys m%f.h fidhkak'

94). .x bjqrla wi, 5m .lska yd 40kg l fndagqjla kj;d we;af;a fndagqf bjqr foig we;s b mi A fl,jr bjqf isg g lsysmhla ka ;sfnk fiah' fndagqj ;=, isk 80kg ialkaOhla we;s ksfil= tAldldr m%f.hlska fndagqf A fl,jf isg miq mi B fl,jr olajd weof.k hdfuka fndagqf A fl,jr bjqr olajd f.k hd yels k" wdrNfha fl,jr ;snqfKa bjqf isg fldmuK ka o'@ AB fLdj bjqrg ,Nl nj i,lkak'

95). ksi, c,fha kj;d we;s 225kg ialkaOhlska yd 4m l .ska hq;a fndagqjl tla fl,jrl isk l=vd ,ufhla ,siaidf.dia c,hg jef' tA iu.u fndagqf wfkla fl,jf isk mshd ,uhd jegqK A fl,jr olajd tAldldr m%f.fhka j ths' mshdf.a ialkaOh 75kg k" Tyq A fj; ,.d jk g ,uhd jegqK ia:dkhg A fl,jf isg we;s r fldmuKo@ldhh Yla;sh yd CIu;dj96). 1kg ialkaOhla 5ms-2 ;ajrKfhka 3m rla p,kh lsu ioyd l, hq;= ldHh fidhkak'

97). 75kg l ialkaOhla we;s ksfila 100m l Wila we;s lkaola ke.Sf .=re;ajdlIK n,hg tfrysj l, hq;= ldHh m%udKh fidhkak'

98). m1 yd m2 ialkaO 2 la ms,sfj,ska f1 yd f2 n, foll ls%hdld;ajh hgf;a ksIap,;djfha isg .uka wrUd iudk rl iudk .uH;d ,nd .kS' hk wkqmd;h fidhkak'

99). ialkaOh m yd 2m hk jia;= 2 la ms,sfj,ska v yd 2v m%f. j,ska .uka lrhs' jia;= 2 lgu tl iudk ukaok n, fhj fyd;a (Yd, ialkaOfha kej;= r$l=vd ialkaOfha kej;= r) hk wkqmd;h fidhkak'

100). ialkaOh 30kg la jk ,ufhla .il w;a;lska t,af,k ,Kqjla f.a 6ms-2 ;ajrKhlska my,g ,siaid ths' tu my, nisoa wka; u; fhfok n,h fidhkak'

101). tla h ia:dkhlska ksYap,;djfhka mgka f.k iDcq ;sria ud.hl .uka .kakd hla ;=, u.sfhla h uefha t,a,d we;s ,U kq,la isri iu. idok fldaKh kslaIh lrhs' uq,a 10s ;=, ,U kq, isriska 300 miq mig wdk;jo" B,. kd 5 ;=, isriajo" wjidk 5s ;=, bhg wdk;jo msysghs' fuu ld,h wjidkfha h k;r ks k" fhys uq p,s;h ioyd m%f. ld, m%ia:drh weo tu.ska h .uka .;a uq r fidhkak'

102). ialkaOh 1kg la jk ;=jlal=jlska ialkaOh 50g la jk WKavhla kq ,ef' WKavh msgjk fudfydf;a moaO;sfha uq pd,l Yla;sh 1050J la k" WKavh msg jq m%f.hla ;=jlal=j wdmiq jdx.=jk m%f.hla fidhkak'

103). 500m by,ska mshdir lrk wyia hdkhl pd,l Yla;sh iy Nj Yla;sh iudk f' fuu hdkfha f.h fidhkak'

104). r ;sria fihla u; ;sfnk 1kg ialkaOhla we;s ,S l=hla 5ms-1 m%f.hlska fih f.a ;,a lr yk ,' fih we;s lrk >IK n,h 10N la k" ,S l=h k;r ug fmr .uka .;a r fidhkak'

105). ,S fldghla me,Su ioyd l+CoaCohla .ik ksfila tA ioyd 5kg l ialkaOhla we;s hla 1'4m l Wila by,g Tijd l+CoaCoh u; ksoyfia jeug i,iajhs' l+CoaCofha ialkaOh 2kg o" myr ksid l+CoaCoh ,S fldgfha my,g .sh r 5cm o k" ,S fldgh u.ska l+CoaCoh flfrys oelajq m%;sfrda n,h fidhkak'

106). iqug fihla u; 10ms-1 m%f.fhka ir, fLdjla f.a .uka .kakd 4kg ialkaOhla we;s A k fg%d,shla fih u; tu fLdj f.au 5ms-1 m%f.hlska A g bfhka .uka .kakd 6kg ialkaOhla we;s B k fjk;a fg%d,shla iu. .ef' .efuka miqj A yd B tlg wekS ixhq; jia;=jla f,i .uka lrhs k" tys m%f.h fidhkak' .egqf ydks jq Yla;sh fidhkak'

107). wNHjldYfha ksh; m%f.hlska .uka .kakd frdlghl pd,l Yla;sh f' hdkh ;=, yg.kakd msmsulska th iduk ialkaO we;s len,s 3 lg lef' bka tla lene,a,la hdkfha uq,a p,s; Ydj Tiafia pd,l Yla;shla iys;j .uka lrhs' b;s len,s tlsfklla hdkfha uq,a p,s; Ydj iu. 600 fldaK idok Yd Tiafia iudk m%f. j,ska hq;=j .uka lrhs' msmsu ksid hkfha len,s j,g ,enqKq uq pd,l Yla;sh fidhkak'108). ir, wj,Nhl ngdf.a ialkaOh 0'5kg la o kqf,a . 2m la o f' wj,Nfha kq, isri iu. 300 l fldaKhla idok msysul ;nd ngd uq yeh fyd;a th my,u ,laIHh miq lr hkafka ljr m%f.hlskao@

109). wdk; ;,hl . L o Wi h o f' ialkaOh m jk l=vd ,S l=hla wdk; ;,h uqfka isg ksYap,;djfhka uq ykq ,ef' ,S l=h yd ;,h w;r uOkH >IK n,h F k" ,S l=h wdk; ;,fha my, fl,jrg ,.d jk g tys m%f.h nj fmkajkak'

110). R wrhla iys; jD;a;hlska 1$4 la jk fia ;kd we;s iqug m:hla AB j,ska oelaf' ialkaOh m jk l=vd f,day f.da,hla A ,laIHfha isg uq ykq ,enqj fyd;a th B ,laIhg mefKk g tys m%f.h fidhkak'fnda,h B j,ska ksoyia fuka miqj B j, isg h isria rlska my,ska jq ;sria ul msys D ,laIHfhys m;s; f k" CD r fidhkak'

111). isria kakl 1'2kg ialkaOhla t,a g tys 8cm l ;a;shla we;sf' kq ksh;h fidhkak' kafka uq ;;sh 24cm la ug t,a,sh hq;= wu;r Ndrho fidhkak'

112). kq ;=jlal=jl kq ksh;h 5000Nm-1 f' 20g l ialkaOhla we;s fnda,hlska kak 10cm l ixfldapkhla we;sjk m ;o lr miqj fnda,h uq ykq ,ef' fnda,fha wdrNl m%f.h fidhkak'

113). 2'5kg ialkaOhla V tAldldr ;sria m%f.fhka f.dia tla fl,jrla wp,j ;sfnk fia ilr we;s ;sria kakl wefkla fl,jf .e tys wefka' kafka kq ksh;h 5000Nm-1 f' ialkaOh ksid kak ixfldapkh jq m%udKh 10cm la f' ialkaOfha uq,a pd,l Yla;sfhka wvla YOh yd ;dmh f,i ydks f k" ialkaOfha uq,a m%f.h fidhkak'

114). iajxlS%h ;=jlal= j, WKav tlska tl bhg f.k tAu is lrkqfha WKav uq yk nka je f,day l=hl jdx.= u yd tu.ska ;sria kakl we;sjk ixfldapkh u.sks' f,day l=fha ialkaOh 10kg o kafka kq ksh;h 4000Nm-1 o f' WKavfha ialkaOh 0'2kg o WKav msg f f,day l=h jdx.= u ksid kak ixfldapkh jq m%udKh 10cm lao k WKavh msgjq m%f.h fidhkak'

115). by, fl,jr wp, f,i l,m fldg we;s 1m . lhl my, fl,jka 20kg l wju Ndrhla t,a g th 1cm l ;;shla ,nd le hhs' lfha my, fl,jka 1$2kg l Ndrhla t,a,d h Wilg Tijd w; yeh g lh le hdug k" h g ;sh yels wju w.h fidhkak'

116). iqug ;sria fihla u; ;sfnk ialkaOh 0'4kg yd 0'2kg ne.ska jk A iy B fg%d,s 2la w;r ieye,a kakla ;sria w;g ;nd we;' kak ;ojk fia fg%d,s 2l tlsfklg ,x lr miqj uq ykq ,enq g A fg%d,sh 8ms-1 l wdrNl m%f.hlska p,kh f' B fg%d,sfha wdrNl m%f.h;a moaO;sfha wdrNl pd,l Yla;sh;a fidhkak' fg%d,s 2l fmrfiau u ;nd A fg%d,sh ksi,j ;sfnk fia ;o fldg B fg%d,sh muKala uq yefha k B fg%d,sfha wdrNl m%f.h fidhkak'

117). iDcq iu;,d ud.hl 20ms-1 l m%f.fhka .uka lrk 1000kg lska hq;a fudag r:hla fmg%,a .eulska 80km l rla hd yel' .shrh WiSk l, g tys m%f.h 10s l ld,hla ;=, 20ms-1 isg 15ms-1 olajd tAldldrj wvq f k r:fha CIu;djh fidhkak' fmg%,a .eulska uq yk Yla;sh f' r:fha ldHhlaIu;dj fidhkak'

118). 1200kg l ialkaOhla we;s fudag r:hla 15ms-1 l ksh; m%f.fhka 1$20 l wdk;shla we;s mdrla f.a by,g .uka lrhs' r:fha >IK n,h 200N la k" tkafuka iemhsh hq;= CIu;dj fidhkak'

119). ialkaOh jk hl CIu;dj 300kw ls' iu;,d mdrl fha .ukg fhfok m%;sfrda n,h 0'1Nkg-1 ls' fha m%f.h 15ms-1 jk g fha ;ajrKh fidhkak'

120). ;sria iDcq mdrl tAldldr m%f.fhka .uka lrk fudag r:hl tkau 10kw l CIu;djfhka ls%hd lrk w;r mdf p,s;hg reoaOj we;s >IK n,h 500N la f' mdf lkafoa mduq, tkau k;r l, miq r:h k;r jkafka fldmuK Wila ke.Sfuka miqo'@ ke.afuys r:fha wdrNl pd,l Yla;sfhka 1$3 la >IKh uev,Su ioyd fhfohs'

121). ialkaOhla we;s hla iu;,d mdrl .uka l, yels Wmu m%f.h 30ms-1 la f' >IK m%;sfrdaOh 0'1Nkg-1 k" tkaf CIu;dj fidhkak' fuu >IK n,h we;s tfy;a 1$200 ke.aula we;s iDcq ud.hl .uka lsf hg ,nd .; yels Wmu m%f.h fidhkak'122). 30m la .eUqre ,solska ysia lrk fudagrhla kdhlg 6m3 iS>%;djhlska c,h msg;g .,hs' c,h wk k,fha wNHka;r yrialv j'M' 10-2m2 f' >IK n,h fkdi,ld yka fudagrh ls%hdlrk CIu;dj fidhkak' c,fha >K;ajh 1000kgm-3 la f'

123). 20m la .eUqre ,solska kdhlg 112l hq;=j c,h by,g fmdm lsu ioyd fudagrhla fhd we;' fudagrfha ldHlaIu;dj 50] la k" CIu;dj fidhkak'

124). ialkaOh jk hla 90kmh-1 l m%f.fhka 1$100 wdk;shla we;s h ud.hl by,g .uka lrhs' fha p,s;hg reoaOj fhdok >IKh k"i. Nj Yla;sh jejk iS>%;dj ii. tkaf ldHCIu;dj fidhkak'

125). bf,lafg%daKhl ksYap,;d ialkaOh f' bf,lafg%daKh 0'85C f.fhka .uka .kakd g tys ialkaOh f' bf,lafg%daKfha ksYap,;d Yla;sh" tys uq Yla;sh yd pd,l Yla;sh fidhkak'

126). bf,lafg%daKhl pd,l Yla;sh 2GeV jk fia ;ajrKh lrkq ,ef' bf,lafg%daKfha ialkaOh tys ksYap,;d ialkaOhg ork wkqmd;h fidhkak'n, iu;=,s;;dj

127). tlsfklg 1200 la wdk;j ls%hd lrk Yd,;ajh P ne.ska jk n, foll im%hqla;h fidhkak'

128). ,laIhl ls%hd lrk n, foll Yd,;ajhkaf.a fftlHh 24N jk w;r tAjdfha im%hqla;h 12N f' im%hqla;h l=vd n,hg iDcq flda f k" n,hka 2fla Yd,;aj yd tAjd w;r fldaKh fidhkak'

129). wxY=jla u; ls%hd lrk n, 3 la ms,sfj,ska tlsfklg iDcqflda jk 2N" 4N n, follska yd tu n, fol w;r fldaKfha iufolh yryd hk n,h l iuka; f' wxY=j u; ls%hdlrk im%hqla; n,h tys Ydj fidhkak'

130). 20kg ialkaOhlska hq;= jia;=jla ieye,a ;ka;=jlska t,a,d ;sriaj n,hla fhafuka ;ka;=j isri iu. 300 l fldaKhla idoka jia;=j iu;=,s;aj we;' wka;=f wd;;sh yd ;sria n,fha Yd,;ajh;a fidhkak'

131). ;srig 300 wdk; iqug ;,hla u; 1kg hq;a wxY=jla ;nd we;' wxY=j iu;=,s;djfha ;nd .ekSu ioyd

i. ;,h iudka;rj ;,hlg ii. ;sriaj fhh hq;= n,h fidhkak'

132). 2'6kg ialkaOhla . 0'5m yd 1'2m jk ieye,a ;ka;= 2 lska t,a,d we;' ;ka;=j, ksoyia fl,jrj,a ;sria fLdjl tlsfklg 1'3m l mr;rhlska hq;= ,CIHh 2 lg inkaO lr we;ak" tla tla ;ka;=f wd;;sh fidhkak'

133). ieye,a w;kHh AB ;ka;=jl C uOH ,CIHfha W Ndrhla t,a,d we;' Ndrfha w.h l%ufhka je l,fyd;a ;ka;=j m,uqfjkau lefvkafka tys yd fldgia fol wdikak jYfhka ;sriaj ;enqj fyd;ao@ ke;fyd;a isriaj ;enqj fyd;ao@ms,s;=re meye,s lrkak'

134). wrh 5cm la iy ialkaOh 0'6kg ne.ska jk iqug re fnda, folla tlsfklska . 8cm la jk ;ka;= 2la u.ska tlu ,CIhlska t,a,d we;' tla tla fnda,h u; wfkflka we;sjk m%;sls%hdj yd ;ka;= j, wd;;sho fidhkak'

135). 20kg ialkaOhla yd 10m l .lska hq;a tAldldr bksu.la tys my, fl,jr uo by, fl,jr iqug ;sria ;a;shlg tfrysj msysgk fia ;nd we;' bksu. ;sri iu. 600 fldaKhla idohs k" n, ;s%fldaKfha f,dauh Nd;fhka bksuf.a fol,jr m%;sls%hdj fidhkak'136). ;srig 300 lska yd 600 lska wdk; jq iqug ;, 2la w;r W Ndrhlska hq;a f.da,hla iu;=,s;j mj;S' tla tla ;,fhka f.da,h u; we;s lrk m%;sls%hd fidhkak'137). rEmfha fmkajd we;s m wp, lmams 2lska yd ip, lmams 2lska hq;a moaO;shla iu;=,s;j mj;S' tla tla l=vd lmamshl ialkaOh 10kg f' f,dl= lmamshl ialkaOh 20kg o k" lmams iqug nj o ieye,a njo Wml,amkh fldg lU j, wd;;Skao Ndrfha w.ho fidhkak'

>IKh138). r wdk; ;,hl . 50m o Wi 30m o f' ;,h u; ;sfnk 10kg la nr jia;=jla my,g imKh u hdka;ka je,elau ioyd ;,h iuka;rj by,g fhdokq ,nk 4kg nrl n,hla wjYH f' jia;=j;a ;,h;a w;r >IK ix.=Klh fidhkak'

139). 10kg la nr jia;=jla ;srig 300 l fldaKhlska wdk; jq r wdk; ;,hla u; iSudld iu;=,s;;djfha ksi,j mj;S' ;,fha wdk;sh 600 olajd je l, miqo jia;=j ;,h u; ksi,j ;eu ioyd ;,hg iudka;rj fhh hq;= wju n,h fidhkak'

140). . 50m lao Wi 30m lao jk wdk; ;,hla u; 20kg l nr jia;=jla ;nd we;' ;,h yd jia;=j w;r >IK ix.=Klh 0'2 la f'

i. jia;=j my,g imkh u je,ela u ioyd ii. jia;=j ;,h f.a by,g weu ioyd" ;,hg iudka;rj fhh hq;= n,h fidhkak.

141). r ;sria fihla u; ;sfnk 10kg l ialkaOh fifha m%;sreoaO rj,g il, iqug lmams 2la jgd hk ieye,a ;ka;= follg inkaO lr we;' ;ka;= j, ksoyia fl,jrj,a ms,sfj,ska 4kg yd 6kg ialkaO 2lg t,a,d we;'i. moaO;sh iSudld iu;=,s;;djfha mj;S k" 10kg yd fih w;r ia;sl >IK ix.=klh fidhkak'ii. 10kg yd fih w;r .;sl >IK ix.=klh 0'1 k" ialkaOhkaf.a fmd ;ajrKh fidhkak'

142). ;srig 300 la wdk; r ;,hla u; ;sfnk 2kg l ialkaOhla wdk; ;,fha uqfka we;s iqug lmamshla jgd hk w;kH ;ka;=jl tla fl,jrl iNkaO fldg we;s w;r ;ka;=f wfkla fl,jr ksoyfia t,af,k ;j;a 2kg ialkaOhlg wE we;'i. wdk; ;,h u; we;s wxY=j iSudld iu;=,s; wjia:df mj;S k ;,h yd wxY=j w;r ia;sl >IK ix.=klh fidhkak'ii. ;,h yd wxY=j w;r .;sl >IK ix.=klh 0'5 k" moaO;sh .uka .kakd ;ajrKh fidhkak'

143). r wdk; ;,hla u; ;sfnk 40kg nr jia;=jla u; ;,hg iudka;rj by,g ls%hdlrk 16kg nrg iudk n,hla fhd we;s g th hdk;ka my,g imKh jk wjia:df we;' jia;=j u; ;,hg iudka;j by,g ls%hdlrk 24kg l nrg iudk n,hla fh g th hdka;ka by,g imKh ug fm,f' jia;=j yd ;,h w;r >IK ix.=Klh fidhkak'144). ;sria ;,hl p,kh jk A fg%d,shl isria uqyqK;g tfrysj B k f,day ldishla >IK n,fhka rojd we;' A yd B w;r ia;sl >IK ix.=Klh f' ldish my,g imkh u j,lajd .ekSu ioyd fg%d,shg ;sh hq;= ;ajrKfha wju w.h yd Ydj fidhkak'

145). ;sria A hlv >klhla fihla u; ;sfnk iqug lmamshla u.ska ksoayfia isriaj my,g t,af,k B hlv >klhlg inkaO lr we;' A yd B j, ialkaO ms,sfj,ska 8kg yd 4kg o A yd fih w;r ia;sl >IK ix.=Klh 0'25 lao k" fih u; imkh u hdka;ka j,lajd,Su ioyd A u; ;sh hq;= C wu;r ialkaOh fidhkak' A yd fih w;r .;sl >IK ix.=Klh 0'2 k" C ialkaOh tl jru bj;al, fyd;a A ,nd .kakd ;ajrKh fidhkak'

146). . 200m la yd nr 5000kg la jk AB ;sria md,ula tys fofl,jr wdOdrl 2la u; rojd we;' 1000kg l nrla we;s f,dhla A isg 50m la ka kj;d we;s g tla tla wdOdrl u; we;sjk m%;sls%hd fidhkak'

147). . 4m la jk tAldldr oKavl fofl,jka 50g la yd 200g l Ndr 2la t,a,d we;' f,dl= Ndrh we;s fl,jf isg 1m la ka ;enq msysrhla u; oKav iu;=,s; l, yels k" oKaf nr fidhkak'

148). tAldldr bksu.la tys my, fl,jr r ;sria ula u;o by, fl,jr iqug isria ;a;shlg tfrysj o ;sfnk fia ksi,j mj;S' my, fl,jr yd u w;r >IK ix.=Klh 5$8 la jk w;r bKsuf.ys ;srig wdk;sh 450 ls' bKsuf.a nrg iudk nrla we;s ksfil=g bKsu. ,siaid fkdhk fia tA u; ke.sh yels r bKsuf.ys Wiska 3$4 la muKla nj fmkajkak'

149). Wi h yd wrh r jk >k is,skavrhla tys tla me;,s mDIGhla wdk; ;,hla u; ;sfnk fia iu;=,s;j we;' mDIGh yd wdk; ;,h w;r >IK ix.=Klh f' wdk; ;,fha ;sri iu. idok fldaKh l%ufhka je l,fyd;a k" is,skavrh my,g imkh ug fmr th fmrf,k nj fmkajkak'

150). fj,o ie,l we;s tla;rd ;=,djl 51cm la . jq ;=,d oKav tys j fl,jf isg 26cm ka msys ia:dkhl j;kh fldg we;' tla tla ;=,d ;efha ialkaOh 100g la jk w;r ;=,d oKaf ialkaOh fkdf.ksh yels ;r l=vd f' ;=,d oKav ;sriaj ;nd .ekSug fj,o ie,a yshd l=vd ialkaOhla tlalrk ,'i. fuu wE we;s ialkaOh .Kkh lrkak' ii. mdfNda.slfhl= ioyd iSks lsrk g fj,o ie,a yshd iska 500g ;rd mhla j ;=,d ;ehg oeuq f k" mdfNda.slhdg fldmuK iSks m%udKhla ,efo'@ iii. fj,o ie,a yshd 500g mh ol=kq me;a;g oud iSks lrk g mdfNda.slhdg ,efnk iSks m%udKh fidhkak' iv. ;=,d oKav tAldldr yd th m; ialkaOhlska hqla;o k iSks lsug fmr iqiq ialkaOhla wE .ekSfuka ;=,d oKavl ;sriaj ;enq g by; ii yd iii g ,nd.;a m%;sM,hu fuu wjia:d j,o ,ef hehs Tn wfmalaId lrhso' thmy fokak'.=re;aj flakah151). ABCD iDcqfldaKdi% ;yvqjl AB}40cm" BC}30cm f';yvqf ialkaOh 5kg jk w;r 6kg" 9kg" 12kg" yd 8kg jk ialkaO 4la A, B, C, D ,CIH j, we;' moaO;sfha .=re;aj flakah fidhkak'

152). ;=kS tAldldr ;yvqjlska lmd.kakd ,o 2R jk jD;a;dldr ;yvqjla yd R jk jD;a;dldr ;yvqjla tlu ;,hl msysgk fia tlsfkl iu. iamI jkfia ;nd we;' ixhq; jia;=f .=re;aj flakafha msysu fidhkak'

153). mshk rys; is,skavrhla id we;af;a 100kgm-3 >K;ajhla iys; ;yvqjlsks' nfka wrh 8cm yd tys Wi 48cm f k" tys .=re;ajc flakahg m;=f,a isg we;s Wi fidhkak' fuu nk 1200kgm-3 l >k;ajhla we;s jhlska wvla msr jq g .=re;aj flakah msysgkafka m;=f,a isg fldmuK Wiskao'@

154). wdOdrlh 8cm yd Wi 12cm lska hq;a iu oamdo ;s%fldaKdldr me;,s ;yvqjla tys mdo me;a;la 8cm jk me;,s iup;=ri%dldr ;yvqjlg iNkaO lr we;' ;yvq 2lu tlu ;,hl msysgd we;s w;r tAjd id we;s jHfha >Klu tluh' ;s%fldaKfha YSIfha isg ixhq; jia;=f .=re;aj flakahg we;s r fidhkak'

155). wrh 9cm jk jD;a;dldr ;ehlska wrh 3cm la jk jD;a;dldr fldgila lmd bj;alr we;' bj;a l, fldgfia flakah jk A" ;efha flakah jk O j, isg 4cm rlska msysgd ;snqfka k" fYaIj we;s fldgfia .=re;aj flakah fidhkak'

156). .%euf*daaka ;e fihla 78rpm fldaKsl m%f.fhka hq;=j N%ukh tys fudagrh k;r lsfka 30s l ld,hlg miqj k;r f'i. ;e fifha fldaKsl ;ajrKh fidhkak' ii. k;r u ioyd ;e fih lerl=kq jg .Kk fidhkak'

157). fudag r:hla ukaokfhka .uka lsf tys f.h 80kmh-1 isg 55kmh-1 olajd tAldldrj wvq jk g tys frdao N%uk 55la is lrhs' frdaofha IalNh 1m ls' frdao oelajq fldaKsl ukaokh iy fuu ukaokh .gu mej;=k fyd;a fudag r:h k;r ug .;jk ld,ho fidhkak'

158). ks;a;=jlg N%uK 600l f.fhka wCIh jgd lefrflk frdaohla 20s l ksYap,;djhg m;af' tys fldaKsl ukaokh fidhkak'

159). wrh 2m jq jD;a;hl ksh; f.hlska .uka lrk wxY=jl N%uK ld,dj;h 2s ls' jD;a;fha flakah foig wxY=f ;ajrKh fidhkak'

160). mqyqKqj ,nk wcgdldY.dfhl= 5m la . ;sria ndyqjl tla fl,jrl ilrk ,o wiqkl ysjd ndyqj tys wfkla fl,jr jgd ;sria ;,hl N%uKh lrkq ,ef' wcgdldY.dhdg oeh yels Wmu fldaKsl ;ajrKh 8g k" ndyqj N%ukh l, yels Wmu fldaKsl m%f.ho Bg wkqrEm kdhlg N%uK ixLHdjo fidhkak'

161). ialkaOh 10kg la o wrh 0'2m o jk >K f,day f.da,hl flakah yryd hk wCIh jgd wjia:;sl >qKh fidhkak'

162). cj frdaohl wjia:;sl >qKh f' thksYap,;djfha isg 10000rpm olajd ;ajKh lsug wjYH Yla;sh fidhkak'

163). mD;=h tAldldr >K f.da,hla f,i i,lkak' mD;= wrh o tys ialkaOh o f k" mD;=h ish wCIh jgd N%uKh f th i;=jk pd,l Yla;sh fidhkak'

164). TCIscka wKqjla tlsfklg l mr;rhla we;sj oDv f,i inkaO lr we;s ,CIHdldr ialkaO 2lska iuka; hehs i,lkak' iu; WIaK;aj mSvkfha TCIscka wKqjl f.h 460ms-1 f' wKqf N%uK pd,l Yla;sh tys W;a;drK pd,l Yla;sfhka 2$3 k" iu; WIaK;aj mSvkfha TCIscka wKqjla tys flakah yryd hkakd jqo mrudKq 2l hdlrK fLdjg ,Nl jqo wCIh jgd is lrk N%uK j, fldaKsl m%f.h fidhkak'

165). ialkaOh m ne.ska jq l=vd f.da, 4la mdohl . s jk ieye,a iup;=ri%ldr ,S ruqjl YSI j,g ilr we;' rduqjg ,Nlj tla ialkaOla yryd hk wCIhla jgd moaO;sfha wjia;sl >qKh fidhkak'

166). ;srig 300 fldaKhlska wdk; ;,hla f.a my,g >K f.da,hla fmrf,hs' f.da,h wdk; ;,h fof.a 5m l rla my,g fmr,S .sh miq tys ;ajrKho m%f.ho fidhkak'

167). u.S m%jdykh ioyd ie,iq lrKq ,nk kj ud,sfha nihlg wjYH Yla;sh nifhys ilr we;s Yd, ;sria cj frdaohl wvx.= pd,l Yla;sfhka ,nd .ekSug yelshdjla we;' nia ud.fhys ;ekska ;ek we;s ,s fudagr u.ska wjia;s >qKh we;s fujeks cj frdaohlg Wmu N%uK iS>%;djla ,nd h yels f'

i. cj frdaofha wvx.= l< yels Wmu pd,l Yla;sh fidhkak'ii. nihg 36kmh-1 idudkH f.hlska .uka lsu ioyd wjYH jk CIu;dj 20kw k" ,s fudagrh ;sh hq;= fiajd ia:dk folla w;r ;sh yels Wmu r fldmuKo'@168). IalNh 40cm la jk frdaohl 3'6s l ld,hla ;=, kdhlg N%uK 80 isg 300 olajd ;ajrKhg ,la f' i. fldaKsl ;ajrKh fidhkak'ii. ;ajrKh mgka .ekSfuka 2s lg miq frdaofha rfha msys ,CIHhl fh ;ajrKfha wh yd iamIl ixrpl fidhkak'

169). 13'6kg jk frdaohla 3'2Nm jHdj;hla ls%hdlsu ksid th 10s ;=, ksYap,;djfha isg 600rpm olajd ;ajrKh f' frdaofha N%uK wrh fidhkak'

170). ialkaOh M o wrh R o jk f,day lmamshla tys flakah yryd hk ;sria wCIhla jgd >IKhlska f;drj N%uKh ug yelsjk fia j;kh lr we;' lmamsh jgd T;d we;s ieye,a w;kH ;ka;=jl ksoyia fl,jr m ialkaOhlg wE we;af;a ;ka;=j u.ska lmamsh u; T wd;;s n,hla iamYSh f,i isriaj my,g fhofjk wdldrhgh' m ialkaOh my,g jefgk g lmamsh ,lajk fldaKsl ;ajrKh nj fmkajkak'

171). msyshd uqjy;a ;nk >K is,skavrdldr weUre .,l nr 4'3kg o tys N%uK wrh 0'07m o f' ., 10000rpm fldaKsl m%f.hlska N%uKh f tu.ska uqyj;a ;efnk msyshla u.ska ., u; 0'2Nm >IK jHdj;hla fhdokq ,enqj fyd;a tu fudfydf;a isg ksYap,;djhg meug .;a ld,h ;=, ., lerflk jg .Kko tu fudfydf;a isg ksYap,;djg meu ioyd thg .;jk ld,ho fidhkak'

172). ialkaOh 10kg o wrh 0'2m o iys; tAldldr ;ehla, wrh 0'015m jk ieye,a ;sria is,skavrdldr wCIhlg oDv f,i ifldg we;af;a moaO;shg tys fmd ;sria wCIh jgd >IKhlska f;drj N%uKh h yelsfiah'

i. wCIhg iamYSh f,i 20N n,hla 12s ld,hla ;=, fho k" ksYap,;djfhka mgka f.k ;eh fuu ld,h wjidkfha w;am;a lr .kakd fldaKsl m%f.h fidhkak'ii. fuu ld,h wjidkfha ;eh ,nd .kakd pd,l Yla;sh fidhkak' iii. ;efha rhg iamYSh f,i 2N l m%;sfrda n,hla fhofuka moaO;sh ksYap,;djhg f.k tAu ioyd .;jk ld,h fidhkak'

173). IalNh 4'5m la jq fuf.da rjqula tys flakah yryd hk isria wCIhla jgd ksoyfia lerfla' tys fldaKsl m%f.h 0'7rads-1 f' wCIh jgd uq wjia;sl >qKh 1750kgm2 f' u isk ialkaOh 65kg la jk ksiqka 4 fofkla yisfhau fuf.da rjqf rhg f.dv f' oeka fuf.da rjqf fldaKsl m%f.h fidhkak'

174). mD;=fha flakah foig t,a, jq Ydjla Tiafia ialkaOh m jq l=vd W,aldmd;hla ksrCIh wi, ia:dkhlg jef' mD;=fha ialkaOh M o wrh r o jk tAldldr >K f.da,hls'

i. W,aldmd;h jeu fya;= fldgf.k mD;=h u; ojil ld,h m%udKhlska je jk nj fmkajkak' fuys T hkq W,aldj jeug fmr ojil ld,hhs'ii. W,aldmd;h jeu fya;= fldgf.k N%uK pd,l Yla;sh wdikak jYfhka j,ska wvq jk nj fmkajkak'

jia;sh

175). weksh j, >K;ajh 2300kgm-3 o ;U j, >K;ajh 6500kgm-3 lao f' fuu f,day foflka iE Y% f,dayhl >K;ajh 4800kgm-3 la k" tA ioyd fhd.kakd ,o weksh j, yd ;U j," i. mud w;r wkqmd;h" ii. ialkaO w;r wkqmd;h fidhkak'

176). >K;aj l=mamsh Nd;fhka l=vd Bh uqksiai j, idfmaCI >K;ajh fif mCIKhlska my; ioyka mdGdxl ,nd .kakd ,'c,h ms l=mamsfha ialkaOh=76.46g' Bh uqksiai j, ialkaOh=55.78g' uqksiai iy b;sh c,fhka msrjq miq ialkaOh=127.35g'Bh uqksiai j, idfmalaI >k;ajh fidhkak.

177). IalNh 1'2mm la jk ;U l o.rhl ialkaOh 150g f' ;U j, >K;ajh 8940kgm-3 k" l o.rfha . fidhkak'

178). >K;ajh 890kgm-3 la jk b j.hlska 10g l ialkaOhlska yd >K;ajh 990kgm-3 jk fjk;a b j.hlska 15g l ialkaOhla WKq fldg tlsfkl iu. tAldldrj Y% lrkq ,ef' Y%Kfha >K;ajh fidhkak'

179). ysia >K;aj l=mamshl ialkaOh 24'20g f' gmka ghska j,ska msr jq miq tys ialKaOh 67'81g o f' wdiD; c,fhka msr jq miq ialkaOh 74'20g o f' gmka ghska j, >K;ajh fidhkak'

180). c,h iys; lrhla g$2 l ;ajrKhlska my,g p,kh jk g mDIaGfha isg h .enqka msys ,CIHhl mSvkh fidhkak' c,fha >K;ajh f'

181). fudag r:rla ti u ioyd fhd .kakd j mSvlfha ndyq fofla fCIa;% M,h 10-4m2 yd 0.2m2 f' 2000kg la n/;s fudag r:hla tiu ioyd hh hq;= n,h fidhkak'

182). dj mSvlhla Nd;d lrk oka; ffjoHjrfhl=f.a mqgqjl yd tA u; isk frda.shl=f.a uq ialkaOh 80kg f' dj mSvlfha f,dl= msiagkfha wrh l=vd msiagkfha wrh fuka 5 .=Khls' f,dl= msiagkhg ilr we;s mqgqj tiu ioyd ffjoHjrhd iska l=vd msiagkh u; fhh hq;= n,h fidhkak'

183). U k,hl ndyq j, wNka;r j'M' ms,sfj,ska 1cm2 yd 0'4cm2 f' k,fhka wvla idfmaCI >K;ajh 13'6 la jk rifhka mqrjd we;' l=vd ndyqf rih ugu 1cm lska by, kexu ioyd f,dl= ndyqjg fl;r c,h j;a l, hq;=o'@

184). yria lv fCIa;%M,h 1cm2 la jq tAldldr U k,hla ;=, Y% fkdjk x yd y j folla we;' rEm igyfka olajd we;s m AB ;sria fLdjg idfmaCIj x yd y j loka j, Wi ms,sfj,ska 20cm yd 16cm f' y ys >K;ajh 1000kgm-3 k x ys >K;ajh fidhkak'

my; ioyka tla tla wjia:djka ys AB fLdjg idfmaCIj j fofla w;=re uqyqKf;a msysu fjkiau .Kkh lrkak' i. y jh 6cm3 la U ngfha ol=Kq ndyqjg j;a l, g" ii. y jh fjkqjg x jfhka ;j;a 6cm3 l mudjla U k,fha j ndyqjg j;al, g"by; rEmfha fmkajd we;s wdldrhgu C ,CIHfhaka mgka f.k ngfha by, m%foaYhlg .uka lrk msmsulska x jh fika msg;g ldka jk njo tg w;=re uqyqKq; by,g .uka lrk njo ksCIKh lrk ,' ldka u wjika jq miq AB g idfmaCI w;=re uqyqkf;a msysu fidhkak'

185). ,S lene,a,la tys mudfjka 2$3 la c,h ;=,o .s,S ;sfnk fia mdf' th f;,a j.hl .s,a jq g tys mudfjka 9$10 la f;,a ;=, .s,S ;sfnk fia mdfjhs' ,S lene,af,ys yd f;,a j, >K;ajh fidhkak' c,fha >K;ajh 1000kgm-3 f'

186). c,fha bmsf,k A k ,S >Klhl idfmaCI >K;ajh d1 f' A ys mjdjg iudk mudjla we;s idfmaCI >K;ajh d2 jk B k >Klhla u; ;enq g A >Klfha by, mDIaGh hka; c,fhys .sf,k fia tAjd bmsf,a d1 yd d2 w;r inkaOhla ,nd.kak'

187). mdohla 2cm lajk ,S >Klhla tys mudfjka 3$4 c,fha .s,S ;sfnk fia c,fha mdfjhs' ,S >Klfha u;= msg mDIaGh hdka;ka f;,a j, .s,S ;sfnk fia c,h u;=msgg idfmaCI >K;ajh 0'6 jk f;,a j;a lrkq ,enqf k" >Klfha mudfjka ljr fldgila c,h ;=, .s,S ;sfo'@

188). AB tAldldr oKavl A fl,jr isria ;ka;=jlg wE we;s w;r B fl,jr c,h ;=, .s,ajd we;' iu;=,s; wjia:df oKafvka 1$3 la c,h ;=, .sf,k fia oKav isrig wdk;j msysgd we;ak" oKaf idfmaCI >K;ajh fidhkak'

189). A k kq ;rdhlska t,a,d we;s f,day >Klhla rEmfha m B k ;=,djla u; ;sfnk c, lrhla ;=, .s,ajd we;' c,h iys; lrfha nr w o f,day >Klfha ialkaOh m o f' iu;=,s; wjia:df ;=,df mdGdxl x yd kq ;rd mdGdxlh y f' x yd y fidhkak'

190). jd;h mqrjd we;s nekhl mudj 1000m3 f' tA wjg jd;fha >K;ajh 1'2kgm-3 f' nekfha mudj ksh;j ;sh tA ;=, we;s jd;h r;a lsu u.ska jd;fha >K;ajh 0'1kgm-3 olajd wvq l, g nekh fmdf,dj ugf isg hka; by,g ti f' i. nekfha yd tA ;=, we;s jd;fha imqK ialkaOh fidhkak' ii. jd;h rys;j nekfha ialkaOh fidhkak' iii. nekh ;=, jq jd;fha >K;ajh 0'07kgm-3 f;la wvq l, g tys by,g tifjk ;ajrKh fidhkak

191). idfmaCI >K;ajh 0'6 la yd mudj jk ,S l=hla nkl we;s .s%fid,ska j, .s,ajd ;nd we;af;a ,S l=h my,skau jq ,CIHhlg yd nk m;=,gu inkaO l, ieye,a ;ka;=jla u.sks' .s%fid,ska j, idfmaCI >K;ajh 1'26 k";ka;=f wd;;sh fidhkak'

192). ,S fldghla tys mudfjka 2$3 la c,fha .s,S ;sfnk fia mf' idfmaCI >K;ajh 11'3 yd mudj jk Bh lene,a,la ,S fldgh u; ;enq g ,S fldgh hdka;ka c,fha .s,S mfjhs' ,S fldgfha mudjo th hdka;ka c,fha .s,ka md lsu ioyd tys h me;af;ys i l, hq;= Bh lene,a,l nro fidhkak'193). tAldldr yrialvla iys; lolska hq;a judkhla c,fha 6'4cm o f;,aj, 8cm o .eUqrg .s,S mdf' f;,aj, idfmaCI >K;ajh fidhkak' idfmaCI >K;ajh 1'025 la jk lrhys judkh fldmuK .eUqrlg .sf,ao'@

194). idudkH j udkhla 0'8 isg 1'0 olajd idfmaCI >K;ajh lshu ioyd l%udxlkh lr we;' mudKfha mrdih je lsu ioyd jhg by,ska jq judk log l=vd Ndrhla we l, c,hg wkqrEm jk mdGdxlh 0'8 h' oeka mdGdxlh 1'0 jk lshug wkqrEm jk jfha idfmaCI >K;ajh l=ulao'@

195). ialkaOh 1'4kg jk Tgqkakla imqKfhka c,fha .s,S we;sg tys oDIH nr 1'3kg h' Tgqkak id we;s jfha uOkH >K;ajh fidhkak'

196). nr 6N la jq tAldldr >K is,skavrhla tys Wiska 1$4 la j mDIaGfhka by,g isk m jhl isriaj mdfjhs' is,skavrh jfha imqKfhkau .s,a u ioyd wjYH jk wju isria n,h fidhkak'

197). >K;ajh jk jHhlska id we;s ;=kS AB tAldldr oKavla >K;ajh jk jhla wvx.= Ndckhl ;a;shlg A ys ksoyfia wi fldg we;' iu;=,s; wjia:df oKafvka 1$5 l fldgila jfha msg;g fkrd we;ak wkqmd;h fidhkak'

198). YsIHfhla ;=kS lvis ;Srejla ;u h f;d,g my,ska ;nd th u.ska ;sria w;g jd;h mshs' lvis ;Sref' tla me;a;l j'M' A o tys ialkaO m f' lvish ;sria w;g ;nd .ekSug jd;h msh hq;= f.h fidhkak' jd;fha >K;ajh f'

199). nghla ;=, j m%jdyhl f.h uekSu ioyd Nd;d l, yels ir, ieleiaula rEmfha oelaf' x ys yrialv j'M' A1 o j m%jdyfha f.h V1 o flaIsl ngfha j lfoa Wi h1 o y ys fuu w.hka ms,sfj,ska A2 ,V2 yd h2 o f k" nj fmkajkak'

200). u ;nd we;s c, gexlshl tla me;a;l tllg my,ska wfkl msysk fia l=vd isre folla o we;' u isg isre tlsfklg we;s Wi ms,sfj,ska h1}10cm yd h2=3'6cm f' isre foflkau msgjk c, Odrd fmdf,dj u; msys A k ,CIHhlg m;s; ug k gexlsh ;=, c,h ms ;sh hq;= Wi h fidhkak'

201). nghla ;=, j m%jdyhl f.h uekSu ioyd Nd;d l, yels fjkapq udkhla rEmfha oelaf' ngfhys x jeks kEu ia:dkhl yrialv j'M' A o jfha >K;ajh o f'ngfhys y jeks ia:dkhl yrialv j'M' a jk f,i ngh mgq lr we;s w;r tu ia:dkfha rih uefkdagrhla rEmfha m iNkaO lr we;' rih >K;ajh f,i f.k ngfhys x ys jfha m%f.h nj fmkajkak'

202). jdhq fIamhlska mgq jdhq m%jdyhla ;sria Ydjg ksl=;a lrhs' f;,a j.hla wvx.= fofl,jru jD; U k,hla fIamfha ysfodka msgjk jdhqf f.h uek .ekSu ioyd YsIHfhala iska fhd .kS' k,h isriaj tys tla fl,jrla fIamfha ys fodr wi, jdhq m%jdyh ;=, w,a,df.k isk g k,fha ndyq w;r we;s f;,a ugf fjki 2'4cm la nj YsIHhd kslaIKh lrhs' fIamfha ysfodr wi, jdhq m%jdyfha yrialv j'M' 10-4m2 k" m%jdyfha jdhq ialkaOh .,k iS>%;djh fidhkak' jdhq fIamfha CIu;djho .Kkh lrkak' jdhqf >K;ajh 1'2kgm-3 o f;,a j, >K;ajh 800kgm-3 lao f'

203). . iu. fjkia jk jD;a;dldr yrialvla iys; ;sria nghla f.a wkjr; f,i c,h .,d hhs' ngh ;=, yrialv wrh 1cm yd 0'4cm jk ia:dk folla w;r mSvk fjki c,h 4'9cm f' ngh ;=, c,h .,d hk f.h fidhkak'

204). ialkaOh 2Kg jk wxY=jla 1m .e;s ieye,a taldldr oKavl flk;ajh 1000kgm-3&

(i) (a),S l=h rEmfha m iu;=,s;j mej;Su i|yd imqK h hq;= wjYH;d folla i|yka lrkak' (b),S l=fha fldmuK Wi m%udKhla c,h ;=, .s,S mj;So@ (c)by; fldgfia ms