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·:::~::::~~~~~:~~~~:~~~~=:·:~j- .. (~~~+i~)·:~~~i··;~QJ~J:ij~~~~t~':::-=:::;=:::;:=::.:·::;·:;:·.: ... ::::::.::::::::.:::::::::::::::~::- :~~~~.,~~~~~-~~~--~!J~~~~::~~~~) ___ ~!~~~~~~~!a.!.!\.~~~:~~!~---·-··· ..... : ; ....
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(g = 10 N kg"1)
[ ..... 8QIIIil.
_ Two hours J
1. ~6eco 00~"' A Dm 1/ ~!)m<!I'QW m®m mmma Ddq}f)~ ctt6) c:~t5e-t!O ~e'-' F- kAv2 Qts) E~W ~~ eS>mem m~ k De ®am !)"' m1•tsf. (lf ML"2T 1 (2) ML-3 (3) ML"3T 1 (4) ML"2T 2 (5) ML"2 T
2. 0§:>8~ co6e 0t5~ Bod ®atsmC-'r:s> v;, ge!)m<!I'Qm ~~~. oael~ lfmO m6)r:s> c:~t5e-t!O COoC52-t!Of:S>Q J..L m® Z3<dt>e ~o 00d 09a8'-' mew %Sl6m ~o Dmem,
v.2 (1) v
2J..Lg
3. m®mr:s> ~C'J ~eem os~ ~w"' 40 m s·1 e!)m~m tt· ~6)6 ~w 50 m s·1 ~meC-'m tt m®m %Sl6m ~· co®gts-t~G m®m C04iln:> coa®aml:) e!)a>Q Dmem\ (1) 44.0ms·1 (2) 44.4ms·1 (3) 45.0ms·1 (4) 45.4ms·1 (5)46.0ms·1
~-~ ·-~ ~
4. 10m s"1 g0~meC-'m m®m mmma dz:nmQQ 5 kg gj Dd.q}f)tsf ®tn gdm:>OeGlm ttl~m lf:>tll:>00d F &e'-'tsf @'-'a z:ne OS Ddq}D eS>:> mmma ge~mC-' DW0m, (1) 14ms·1 (2) 20ms·1 (3) 24ms·1
(4) 30 ms·1 (5) 80 ms·1
5. 6to0d ~ lfl6) lf:>t:s>:>OGla A, B ma C Glm Ddq}De dz:nmw 8~~D8m 2 kg, 3 kg com 10 kg e!). A eo!n B Ddq} lfmd cots.-t~G coo<52-t!Ot:s>Q 0.3 Dm qmd e®COC-' a®o e~. o<wB Z3<dt>etn:>D<!I'Qm ~~~ 6o c Dd~ t>Bm Dm ~-t!OQ f)~.
(1) 5.87ms·1 (2) 2.25ms·1
'{3) 1.75 ms·1 (4) 0.75ms·1
(5) 1.25ms·1
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6. aasa ef!amw· ~d qtEB tnd~Q= eso eotcntd~ =d8c."ld ~de:> qt~. ~m d=mw 1 kg eoa> ·3 kg E>m "1l~ ·~ ~ ~C) ®&51 QE>a ~B S2m mm~fi= <&~e-~E>d dtoec& ~ ~de,- ~c;a toe~ Ct~. tnd~~ OJ~oti)C ~t.:if ~? (1) 0 (2) 1.5 kg (3) 2.0 kg (4) 3.0 kg_ (5) 4 kg
7. oa->tl) o1oecr qa=:>OQo Sdd E> 40 em ~m ~m~E>Bm ~de:> ffl.EB d=mwo 19.8 kg ~ E>d~d ®m d=mCJ"' 0.2 kg~ G-fif~od v et>~"'m ~ E> E>t~. E>d~ ~so :sl:> e:>~. ~m o<wBm lideoa 60° = qam@"'d · "'u cttoe m~. v 63 qmo €>m0m,. (1) 2m s"1 (2) 4 m s"1 (3) 20m s"1
(4) 100m s"1 (5) 200m s"1
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• 8. ®~ e-o~m c."lm~= ~410 S8mel00 180 r.p.m. 8amaE)®ctrl' ~®-Eo e!l. S8m~ q~~ ~~ 1.5 kg ml m~ ~csft)ea>JE)@d Sa®®® ~®410 Bet»aE)"'o C3'mm t!J®D 135 W oe:>ot.If q1S C3>®:f0d'<:-'ti)C) C!I1.Slao®410 =~dID~ ~? (1) LOs (2) 1.5 s (3) 1.2 s (4) 2.0 s (5) 6.0 s
9. ~cod S8mt>O"'= ffd'-' r E>m qmd ~2 qd8Q add E>m @d ~tnd CFI~~ B8me:>dc.X> . ctz:sf~ e:>oa ~®-t!OQ !lc COIB ~c. B8m~ ~~em Sdd Q)mS"'d ®m ~e:>a d=mCJQd
...... 6-w.J B8mt>O"' ~®410"' =c !lo ~ d=mwQ 8®a=35 eo®~8~d oE>I!.~~m Q}t'if&cr eot:se410 eoo~410ti)C) p m&) S8m~ ~ E>m eooS>mm<:-' (l)e; (2)21t e; (3)2~ e; (4)21t if (5)~
10. s~ ~c.:lt.S)"' 20N m"1 ~ eot:sE>eo® ~ 0c(tl)t.:i'f ®lam dto0c& ~deE)m o~ ~" ~Wioi:IW~o~:~-~
0.4 kg coadQd ~dE>a ~m. 0®® ~!l ~m =aeo E>~0c&. (1) 0.28 s (2) 0.63 s . (3) 1.41 s . (4) 2.81 s (5) 6.28 s
11. msX>z:sf ~ =68m d~ ~m m®m =dm ~86Qd ~GI~ &de~z:e oa =68. ~~ 335tsfeti)C)3 OS9 B5$o 0od COJ oa ~~C) ~0eom eooQ)l)~ qmd C,~O:lmQ 6 : 5 ~. E>amed 00~ 90~ 330m s"1 mS ~86~ 0~ E>~0d (l.) 10m s"
1 (2} 15m s"1 (3) 20m s"1· (4} 25m s"1 (5) 30m s"1
' . 12. d=mw 2 kg d coco o6®X> 8ot:s 2 tsr E>m SB~rm ~E>m toe qe:>tsr o~ la8
oE>Sm .d mm~ ~ ~m. qa~ E>ezrlem, (g = ~t~C>d ~-t!OQ} (1) 0 (2) g (3) 2g . .(4) 3g (5) 4g
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13. 63@ ~@d ~- ~~ sa &e ~ ~ S6ca ~m~ ~~a w®~ =6m 0~~ ~o~ ~~ oeom 1:S)0 (nii\ e=>:xa ee=mm.
(A) ~ m6oa>"' eo~ ~QC) ~~. (B) ~a "'m 6a mcSoCS>ed get)~ e-zm ~. (C) md~ ·QGQ>l)~ te>®~ q~ e-e>.
~m otmt.~8 Bas qm6m ~e-z~ e>m~m. (1) A ceo B o®Etif em» ~. (2) A ceo C o®4!10zsf em» ee>. (3) B em C o®.eo.tsf em» ee). (4) A, B em C "'m &oo® em»@!). (5) Sasee® ~» e-e>.
14. @®t:i)1~:Jtnl6 wt~as tnB eom::ne ~dt ec S~=> oeas 96~3 &a: PQ oattas ®t» cSS ~(g~ q~atS)as o~~ ee>. ~t
3 4 . ~=> oeecl OOmzruo= 8~~~8m - ma - me PQ !>~6{ I ~:1m
2 3 q~dt §~4'1ima ommas ~m B<54!10as, QR q~t ~~-fJiim ~G-irl m®~ l'.:i)O~ 8&e sin B qwas otnti) c~mm ::n~dtif 6as ~Q r,_?
(I)_!_ (2) ~ (3) ~ 3 3 4
(4) }__ (5) .! 12 9
Q
15. :na63as ~6 f ~ q63e:l5 =~zsf Ci~I5'C!'Qm 30 em ~8m ~~zsf ti)I§ 6a ~63 9B~®Sas l'!S)at:>®cl sa 90 em zs1 (J8m g:} tndaszsf ®ti) q1636&. ~Q~ m:1 ~®c.:J 800® ~md (!'ma=6 orom ~~m z:Wo q~d"ae>::n ~ Bo"' ®t» gB~~ eta® e~eoa ~a> 863~ sa ~at)"' Dezn"' ~s ~~ ~ (!-~-fJi'i r,.? . ;(I) 60 em (2) 30 em ~ (3) 20 em (4) 45 em {5) 10 em
1.6,.~~6{ ~s 33d qaee:t~ ee~as. (A) ~t ~ ~ 6~ q~e&tned ~CDQC) OOa q~ "'· . (B) 8zsft»l'!S)Qzsf ~ ~ 6~ q»~ 9~"'" C®lts>Q.
(C) er,_m C(( ®aQ~"'zsf c~ma ~® ®aO»as ~G ~ ~63 c:l®a~oa&l'!S) ee>.
~m 33e>t~ e>me-m, (1) A o®&. (3) A em C o®&. ( 5) A, B ceo C asm Basee ®. C)a>» ~.
(2) A ceo B. o®$0. (4) B em Co®&.
17. mds~. G~%:S!Sasts> l'.:i)JC) qmd o6m6as 60 em B. e%:Da&l'!S) 6C9aCm'-' 3 B. C:l®am:l3 86t®l6te!> ~ ~0e"' ssa~"d· 1;~ ( 1) er-e>e~e-af ma63ed '-'· (2) Goemeaf Sa 20 em "dB33. (3) tl):)f) ette-zs1 ~~ m~ed as. (4) qmm~ "'· ( 5) coemc:t.m m~ "'·
18. ~m ~"':sr ~s &t~:sr ~ "'m ~·asd ~aa ~®-fJiiQ ~. ~m ~e ~&-., gcl6~ ~-fJiit:i)Q 1 x to-s oc-t me c~ 100 oc ~ ~ /aQ &> ~eed ~-fJii . q~B ~eoed s&m e-zm~ ~~Bed (1) O.i % (2) 0.20.4 (3) 0.3% (4) 0.5% (5) 0.002%
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19. +Q q:J06:f8tn qt)c Cfo<iflr.:sf efle>a +q q:Jed':f8m Cfo<iel� ow� 610 �m � ��;, en� So v �C)m �eeQC) tsld� etea. de Q qJI!'d'� So r s� �fl�<.:�o od �. q q:JI!'O� �o41i<-' =O"m c<� 2v �m m� de.:) �alt>cmxk.x) oz:sfe>mem Q eo ez:il�S �em �?
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(2) 2r (3)!: 2
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20. A� B f):Jets:f d& �=d � �wd �flc! •o mtDCDC03 500 Hz �::oatD<-' crt8 do=cts>o eo$Q)trl'Q et:DOC> dQ)Q �e<£1 � =do<D crt8 ZS>Om e�. A S �ti)Q. B il &s=eCDeCd �� elm q� A =82ec& c:om� B il =m� e®m �Q2C!DQr.:sf e!). A ts>e� �" � flm � B il �e ge!)a)C)C) .<tdm q�o� fl�
(l)t:..fi (2)1:2 (3)2../i:l (4)../2:1 . {5)1:2J2
. 21. OW%.» � crt8 o8� p 1'$)3 Q. qtDd c®ts> g8ed:f0<.:� Dmem,
0) � n (2) in (4) � n (5) � o
s 4
JQ
22. &idg8 t»:JOC> t(� �m dts>mt:K.o M � sflc.:)l:\1 ce�Q It ts>Oeoz:sf � � fJJ So d63 tn303ots><-' fltn 8.2 <(� � moOO. mel (15Dd t2 ts>Oe� � de.:) @�t,:n � !)D S�m m d=m� � aoo od e!). se>ec:J OOalo tn30 Oae'l:'l)Jf)Q c me. �mo CD:> o6e,6..,c.> � o»o"' W!l� e�l.ez:\l !)o sfll!'c:J �� !)63�dtD � etea�ed owm eot'(wm �9��? (�) mC(82 -�}
Mt1 (4) mt2 .
MC(02 -Ot)t
23. � q� tQmts> e!)m 0, 3 km s"1 � 9 km s"1 e!), e®8 Cfo<!i �mil flt1m ®Ql5Cm tlc � flmem
·
(1) 3 km h"1 (2) 6 km h"1 (3) ffo km h"1 (4) ../30 km h"1 (5) ..fiJ km h·l
24. C!ledr.:sf• � 6()0.4 B elm �= cal� 30 °C � � qol:\lQ 20 °C � (It!), fl� eo�tn64Ji Q� ®G!m � cal� 20 °C_o � =e !)C) � �C) 400.4 !)C), d® <.:�m'dJC @Q3 �= =e � � cal� 30 oc a �� me mfl C!leOtSr. � (1) 600.4 (2) 500.4 (3) 400.4 (4) 36% (5) 24%
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25. � r !'>m q � crt6l e� � � Vo e!). e®!'>{� cotroe® •=d' � 1000 tsf � �!) � •=d' ¥mJ eotaem d.-� m!) �!>am, (1) Vo (2) lOVo (3) iOOOVo (4) lOOVo (5) 10SV0
- 10 -
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26. cvt;ts'lts> z:nQ)::� q1tn oeo 1 kg d 1 kW tae�s �t!)QBm o:sf ts)� oo 1 oo s ts> ts>:JCod � oc� clll.flii�o 17 oc sa 37 oc ��::� e>r!}!)&. cvt;�m tn:>o o:J61!i)aD l!'m�&o w1s z:nO® �tJJ m® @®® %S):>ec:.:> .1::00� �D tn:>Oc:.:> w:nS �® ®Q�tS)D 8t(gtn:>e> D�l!'af. <eced �ta�c:> m:>O o£m:>C) = 4200 J kg·• K-1.)
·
( 1) 80 w (2) 130 w (3) 160 w (4) 320 w (5) 840 w
27. qDe D:J9 d%S)mwots> Bt:>mo (P) � (V) t-'®® �vetS)o p e>m qs6"L 6to@d ((td@!). J Sc:> L ((den �trl �® JK, KL Bc:>DO S8zrl B{j S�� �D ®tffim 8 J mao g®:>�od c6:>md qtnd 3 J z:oot1""-'d �=6�. �8 ee:>m� JM, ML 8oe>6 D8trl B{j SO'�� �D ®tam 1 J %S):b""-' g®�od et)')6"'?tJ qm0 �®tffim, ( 1) 4 J m:>o g®:>�Qd 8D�S. (2) 6 J tn:>O g®a�d q�:fe� %S)6S. (3) 9 J mao g®�od qf)@cg:fs� �a. ( 4) 10 J m:>0 g®:>� q�.f.fiio %5)0S. ( 5) 11 J m:>0 g®:�.flUQd 8c:>�S.
v
28. ®��N t'ft<i'C� q6{j6 ez:sfs::BQ 50 em Dm qmd ,o ede::oo 1.5 m @!). �!'}® t-'I((W:> cw {jO WL8® cctw:> s� m�tn:> %S)� s� %S):>DDc aeo ��e>gm tad�Dm�m. (1) +2 D, -0.67 D (2) +0.67 D, -2 D (3) -2 D, +0.67 D (4) +0.67 D, +2 D (5) +2.5 D, -2 D
29. G-g:f�a&wod; G}8<!'8:fti)Qd em ex qo�E>d �%5)® D:lc%.5) �dB"'Bm �c:.:>m �®Q)t)') ea�w D�l'5)lW3d oOOe ID®m %S)6S. (!'leeg:Jmec..i d!S)mW, �:Jea&t$)6-cl e®m ®�(,SJ�C)ts) O"{S cetSlmm. �� q:J®6:Jo� ®-gjec:>lmoo t-'®:>mo.) �d �d e:>a�:,s,Jd o6De qooo� 8�eD8m rp. rd em ro. m® cmlS Dm<!'zrl, (I) ra= rp< rd (2) ro.> rd > rp (3) ra= rd > rp (4) rp= rd =ra (5) 2rp= rd = 3ra
30. oaa!)o ®m Be:> <!'O:fw"9Dd Dmso:> <!'Dtn <D®trl'. q6®S. oaaBo m:> Dtrl'Sc:.:>J qoo fP r �E>.'---oal3�®cl e:!ts)mQo, Dms� dwtrl'Oo -�®m 8 1 ��ozS. Dmso� So <5'W:>e®� (id� <W":ftSl(:)gE> ®m �dtde>:>tnt5e-e:lii cveo �m:o ®E:>((?
( 1) .!_ (2) .!:... (3) .!:... ( 4) !:. (5) !:. 20 15 10 5 - 2
31. 240 V g®!)<Dolim l@o:>:sf®%5) � e®3D6ot5l q:><3'®i>O<!'c:! (�tmo�d) gB0d:fOo 2 Q ��. ®®&ooc;.:) co6® �oo�trl @o::�tif@%5) e>m !}a �63 gB�rc:Jim <D:>®� aeo 230 V <!'E:> m® 6®:fc:>o� co8'® �ID� @ol %S)6m &> ds®�Q Dm<!'m, (1) 50 w (2) 460 w - (3) 480 w . (4) 1 150 w (5) 1200 w
32. ®®® o8o6®o63 x om y � c®tSl 0:>6m:>D, ( 1) _?_ J1F (2) 7 J1F (3) ! J1F 6 6 3 (4)2 J1F (5) 3 JlF
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• 33. 50 °C CaiE~~ ~f)3%S) ts>:ld~ ~ f:>3mQ e.')U) COotnad%5) Sf> fmlo (ft~ qmd O~W~
~c5 8t)mQ 1.5 x 105 Pa ~~. ~m ~e> U):JdtnQ 20 oc ((~3 sse ~ !)o §c5 8t)m"' &t:OOO®~? 50 °C ~ (S)3 20 oc ~ sf>ec:J ~mad%5) eneo &>m ~~zrl 8.6 X 104 Pa (S)3 2.6 X
104 Pa ~~. · (1)5x104 Pa (2)8.4x104 Pa (3)l.lx104 Pa (4)1.2x104 Pa (5)1.4x104 Pa
34. d1o0d ~mf)&m W:ldfn:if ec,DmQm AB o8o" e~X>c:.S. ~~A ~»ed ~e>~ +250 V e~ m® B es~ ~ e>mezrl (1) 0 v (2) -25 v (3) +50 v (4) -50 v (5) 250 v
35. dtoe-d t(td<!'e>m o8~ XY Q7(1 c12m~ 9Sed:JW z:i)$G§QzSt- 0 coro Y em» d8Qlim coSSmw -~ ~%5). P ~om dotsGi!ZS)Q Y So X ~de>:J <:t<Dm Qm !)C) ef>~Od ox:hoz:D<!'cl OOem"' ~dto..OQ e:>m 9dm:JCSQ e>me-m,
y
v v E+----.. E
0 X YBo fJd y
0 X v So fJd
{1) (2)
v v
E E
X
v
E
y
0 X YBo (Jd y 0 YBo fJd
X ---------------. (4) (5) ------ .
y
A
B E
o.-------.
0
(3)
36. d-to coomezrl ~·f>m ~ Do 50 d tltin coaa p .---4-.....---. Q .......----. e:n3Eliil93~Jd ~«DdQd ~zrl 2 A Old:lf>d wem qmd p
~"' 0.25 T ~!)S~ <!'t:i!i'2)"'~ %S)Q)3 tlt%5). ~«a>dQ ®m. N @c.:>~m e>mf>tsmQ ~30®410 tt? ·
12cm s (1) 0.1 N m (2) 0.2 N m (3)0.3Nm (4)0.4Nm (5) 0.02 Nm
S R ... tO em-+
37. IDtdf>em:f8~ ~«<O<tQ 9~Q 100 0 li. ~C<Dme> C)~ 4 900 0 9~3wQ ~C)3 odJCO(:) o So 5 v ttdf>3 ~. ~ ~~..o B5®0 eQlC<DC)!) ~e eq q®~ 96bd:fWQ . f>~<!'cl. ' ' (1) 5000 0 . (2) 4 500 q (3) 4 000 0 (4) 3 500 0 (5) 3 0000
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38. ~~oo Vemc.:s e:>m q:x!J.d:foGOcs!Sf Ci8Q)trle:>@Qm owm e:>CDm~ 9~ wd q1m. (A) lJ qce mt~ ~e:>mm ~:Jo.uc.:s!Sf ®m Q)e"'d qtfn ts>dS. (B) C1 qoe mt~ ~~e> ~®a!Sf ®m Q)ec.:sz:sf (fiB ts>dS. (C) d qce mt§ wJd3!> ~m c.:sm ts>S~ ®m Q)ec.:sz:sf q16J ts>dS. ®w ~e>t~ E>m~m-. (l).A o®&. (2) A cw B o®&. (4) B ·cw C o®&. (5) A, B eom C c.:~m Scbce® eom:l:l ~.
(3) A em C o®&.
39. ~~ qCDc.; I, ~ 9m»:l00m 0363f>cf R 96»6:fw"'!Sf ~m CDe:XDc.:s ~a 9~:fwQ I'Ddw:J m:JOc.:s cmct1dm"' E>m e~ P ~!). 2 R 9~!Sf ~~m m:JOQ cmeotsomQ E>m e~~ 4P t')®C) m$, d ~zi' ID~ C.:S:l 8~ QJd~ f)t$CD ®W»m» ~0 qCDQ &ti? •
41.
(1) Ji 10 (2) * (3) 2 lo (4) Io (5) V2 10
2A
(1) 25% (2) SO%
9~~Wc.:1 3 n ~ cds w:lda ~c.:ld 20 v = O>tOOc.:~d wa 2 n = 9SC5'05wc.:~d ~®«n ~:f&CDmE> ~®Q)ww ts>d (ftm. e®50dc.:~ ~Qt;S) e~ma~m ~®.UQ E>m ~ 2 A = 0Jd3!l!Sf CDC:! c.:IS. @@&060d =ats'»z:sfe®moe:>c.:s,
(3~80%· (5) 100%
42. ~ qtB ~ts>E>®:~m o~ AB d~:)($ ~~d ~CD 1. m ti 96Je.d'awQ 2 n ~ ~- R ~f>e» 9~:fw~d qCDQ 0.4 n E>m ~a clots's c.:sq<5 C S (ftS qmd CDtdE>e'm3SC>ded em~®~ oa.U» e!). AC ~CD Q®Jts).E)~. A.,_-~:---------J (1) 25 em {2) 30 em (3) 40 em (4) 50 em (5) 60 em 1;~
43. 2~P0 ~2~Pb + xa + yp cpwm ~ad.uae d¥Q ~~ ~~3~ E>de-m ( 1) y Bd.u o®&. (2) a q~ m:» -P qo~ e<t=d (3) +2(3 qooa m:~ a q~d
(4) a. qooa~ W:~ -2(3 qooa (S) a qooaE>!Sf W:~ +(3 qooa ~==
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• 44. ~~® ccvm SJf>~Bm·88~ ¢Bemt5>0 roo~ QQ>m ~elC> ~~~ ~m 8gee:>8m 4cm c~
12 em ~. ~~C> 0-~@~6:3 ~~ oae~c.:f -~- ~em. (1) 6 em (2) 10 em (3) 15 em (4) 3.5 em (S) 1 em
.45. ec~~c,:)~ e<:~ec,:) co(i)~ fo ef). co(i):o31;5)c,:) 2/o f>m ~~ ec~w"' ®m o& ~ ~o. s=:>Q ~~ co6® geE)a)Q 4 X 106 m s"1 ~. o~m (f:leO~ moQ)~ 5/o ~C) ~:>Q ~o~me:>c ce6® geE)«)"' ~mem, _ (1)4x 10~ms"1 (2)6x 106 ms"1 (3)8x 106 ms"1 (4) 16x 106 ms"1 (5)2x 106 nis"1
46. ~B6~8 sf):ocs~ ~ &> ~~ ~m ~=B. ~tn ~ <n41im 64 x.1018 B. ~8m od®~ 60 x 1018 mo6l~d o~=d-tiOQ ~o a>~m =:e"' ~~ (1) Ot"' 3 (2) O"{Q 12 (2) ~m 4 (4) ~m 8 (5) ~m 16
47. 0 °C ~ =aei.Gi f>d~Bm ~ m30Q ~~m S~m:JE>c,:) E ( J s"1 ) e!>. 273 OC-~ !)Bd4!D
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