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General Certifcate o Education (Adv.Level) Examination, 2013

P!"ic" Part 1#ime t$o r"ri%t re"erved All ri%t re"erved All ri%t re"erved All ri%t re"erved All ri%t re"erved All ri%t re"erv

(1) The dimensional formula of electric field strength is:

1.MLT-2I-1 2.MLT-3A-1 3. T-2A-14.MLTA-2 5. TML

(2) A man thros a !all in air in such a a" that hen the !all is in its ma#imum height he throsanother !all. $f the !alls are thron after the time difference of 1 sec% then hat ilt !e the heightattained !" them

1. 1&.' m 2. &. m 3. 4.& m 4. 2.45 m 5. 32m

(3) A string can ithstand a tension of 25 . *hat is the greatest s+eed at hich a !od" of mass 1,g can !e hirled in a horiontal circle using 1 m length of the string

1. 25 ms-1 2. 5 ms-1 3. /5 ms-1 4. 10 ms-1 5. /'ms-1

(4) A ra" incident on a '0 +rism of refractie inde# 2 suffers minimum deiation. The angleof incidence is

1. 0 2. 45 3. '0 4. /5 5. 400

(5) The .. needed to +ro6ect a !od" from the earth7s surface to infinit" is( 8 is earth radius)

1. mg8 2.2 mg8 3. 192 (mg8) 4. 194 (mg8) 5.0

(') To !odies ith masses m1and m2hae eual ,inetic energies. $f ;1and ;2are their res+ectiemomentum% then ;1< ;2is

1. m1: m2 2. m2 : m1 3. m12: m22 4. m1: m2 5. m13: m23

(/) A far sighted +erson can see clearl" !e"ond 100 cm distance. $f he ants to see clearl" an o!6ect at40 cm distance% then the +oer of the lens he shall reuire is

1. = 1.5 > 2. ? 1.5 > 3. = 3.0 > 4. ? 3.0 > 5. =2 >

() The distances of to +lanets from the sun are 1013and 1012 meters res+ectiel". The ratio oftime +eriod of these to +lanets is

1. 10 2. 1910 4. 100 4. 1010 5. 10

(&) *hat is the energ" change that occurs hen a !all rolls don an inclined +lane ithout sli++ing

Prepared by Harshana Perera (B.Sc(Phy),BIT,SCJP) 2012 R KitTrn !"er

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A. ;otential energ" @ translational ,inetic energ"B ;otential energ" @ rotational ,inetic energ"C ;otential energ" @ translational ,inetic energ" = rotational ,inetic energ"D ;otential energ" @ translational ,inetic ener#y $ %&r' a#ainst ricti&n. ;otential energ" @ translational ,inetic energ" = rotational ,inetic energ"= %&r' a#ainstricti&n

10) A +erson can hear a sound of intensit" 1.0 10?11* m?2.*hen a hearing aid is used% the soundleel increases !" 35 dB. *hat is the ne intensit" of the sound heardA 3.50 10?11 * m?2

B 3.50 10?10 * m?2

C 3.1' 10?& * m?2

> 3.1' 10? * m?2

. 3.1' 10?' * m?2

(11) A tuning for, of ,non freuenc" 25' D ma,es 5 !eats +er second ith the i!rating string of a+iano. The !eat freuenc" decreases to 2 !eats +er second hen the tension in the +iano string isslightl" increased. The freuenc" of the +iano string !efore increasing the tension as

1. 25' = 2 D 2. 25' - 2 D 3. 25' - 5 D 4. 25' = 5 D 5.none

12) The *&"e*ent & a spacecrat r&* + at the srace &the arth t& at the srace & the -&&n a&n# a strai#htine + is sh&%n in the dia#ra*. /hich #raph represents the

"ariati&n & the p&tentia ener#y U & the spacecrat %iththe distance r&* + t&

E.

istance

13) A student eighing /00 clim!s at constant s+eed to the to+ of an m ertical ro+e in 10 s. Theaerage +oer e#+ended !" the student to oercome grait" is most nearl"

(A) 1.1 * (B) /.5 * (C) 5'0 * (>) /5 * () 5%'00 *


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(14) Two springs, of force constants k1 and k2 are connected to a mass m as shown. The frequencyof oscillation of the mass is f. If oth k1 and k2 are made four times their original !alues, the frequencyof oscillation ecomes

1. 2f 2. f"2 #. f"4 4 . 4f

$. f"#

13) 4 tnin# &r' is sed t& create standin# %a"es in a tbe &pen at the t&p andpartiay 5ed %ith %ater. 4 res&nance is heard %hen the %ater e"e is at acertain hei#ht. The ne6t res&nance is heard %hen the %ater e"e has been&%ered by 0.3 *. I the speed & s&nd is e7a t& 890 *:s, the re7ency & thetnin# &r' is

1. 1;0 H< 2. 22= H< 8. 890 H< 9. =>0 H< 3. 2930 H:.3. 1=:2;.

1&) *hich of the folloing relations !eteen n1% n2 and n3is correct

20)To +i+esA andB% ith +i+eA closed at one end and +i+eB o+en at !oth ends% are sounded to giefundamental notes of the same freuenc". The length ratio of +i+eA to +i+eB is

A. 1 : 4 B. 1 : 2 C. 1 : 1 >. 2 : 1 . 4 : 1

21) The a!oe figure shos a long ertical glass tu!e containing ater. The aterleel is loered until the first resonance occurs hen a i!rating tuning for, is

+laced at the o+ening of the tu!e. *hich of the folloing statements is9are correct(eglect end corrections.)

(1) The sound +roduced !" the air column a!oe the ater has the same freuenc"as the tuning for,.

(2) 8esonance ill occur again if the length of the air column a!oe the ater isincreased to three times its original alue.

(3) 8esonance ill occur again if another tuning for, of tice the freuenc" isused.

A. (1) onl" B. (3) onl" C. (1) and (2) onl">. (2) and (3) onl" . (1)% (2) and (3)


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22) A mango tree is at the !an, of a rier and one of the !ranch of tree e#tends oer the rier. A tortoise lies inrier. A mango falls 6ust a!oe the tortoise. The acceleration of the mango falling from tree a++earing to thetortoise is (8efractie inde# of ater is 493 and the tortoise is stationar")

(a) 3g94 (!) 4g93 (!) g94 (d) g (e) 2g93

23) A source +roducing sound of ae length 0.' m is moing aa" from a stationar" listener ith s+eed E9'here E is the s+eed of sound in air. The ae length of sound heard !" the listener is

(a) 0.5 m (!) 0.54 m (c) 0.'' m (d) 0./m (e) 0. m

24) A car is traeling on a road in hill" terrain% see figure to the

right. Assume the car has s+eed and the to+s and !ottoms of thehills hae radius of curature 8. The drier of the car is most li,el"to feel eightless:

A. at the to+ of a hill hen F gR . B. at the !ottom of a hill hen F gR gR .

C. going don a hill hen < gR >. at the to+ of a hill hen G gR . at the !ottom of a hill hen F gR

25) A thin conerging lens +roduces an inerted real image of an o!6ect on a screen. The sie of the image is thesame as that of the o!6ect. *hen the u++er half of the lens is coered !" an o+aue sheet of +a+er%

(a) the image disa++ears (!) the loer half of the image disa++ears

(c) the u++er half of the image disa++ears (d) full image ith reduced intensit" is o!tained

(e) full image haing half the sie of the o!6ect is o!tained

2') The a!oe gra+h shos the ariation of the acceleration a of a +articleith its dis+lacementx from a fi#ed +oint. *hich of the folloing gra+hsshos the ariation of its +otential energ" U ithx


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2/) A light s+ring is fi#ed to the !ottom of a ertical tu!e. A !all is releasedfrom rest at a height h a!oe the u++er end of the s+ring as shon. Afterre!ounding seeral times the !all eentuall" comes to rest and sta"s on to+of the s+ring. Assume all contact surfaces are smooth and the s+ring o!e"sDoo,eHs la throughout. *hich of the folloing statements is9are correct

(1) The com+ression of the s+ring is +ro+ortional to the mass of the !all.

(2) The com+ression of the s+ring is inde+endent of the height h.(3) The graitational +otential energ" lost !" the !all is eual to the strainenerg" stored in the s+ring.

A. (1) onl" B. (3) onl" C. (1) and (2) onl">. (2) and (3) onl" . (1)% (2) and (3)


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2) A man +ulls ith force I on a ro+e +assing oer a +ulle" of radius r and moment of inertia $ and raises aeight * at constant s+eed . The ,inetic energ" of the s"stem shon is

A. *J92g = $J92. B. *J92g = $J92rJ.C. *J92 = $J92. >. *J92 = $J92rJ.

. *J92 = $rJJ92.

2&) The figure shos a +attern of electric field lines in hich P% Q andR are +oints mar,ed on one of the fieldlines ithPQ< QR. $f the +otential atP is 0 E% hich of the folloing can gie the +ossi!le +otentials at Q andatR

30) The figure a!oe shos a charged +arallel +late ca+acitor. ; is a +oint !eteen the +lates and its distancefrom +late A is #. $f is the electric field at +oint ;% hich of the folloing gra+hs !est re+resents the ariation

of ith # (The se+aration of the +lates is s.)

31) A !loc, of mass 2 ,g is

+laced on the floor. Thecoefficient of static friction is0.4. A force of 2. neton isa++lied on the !loc, as shon in the figure. The force of friction !eteen the !loc, and the floor is (ta,e g < 10m9s2)

(a) 2. (!) (c) 20 (d) ero

() 4


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32) A conerging lens forms a shar+ image on a screen as shon. A glass sla! of thic,ness t is inserted !eteenthe lens and the screen. $n order for the image to !e again shar+l" focused% it is necessar" to moe the screen asmall distance d

A. aa" from the lensK d decreases hen t increases.

B. aa" from the lensK d increases hen t increases.C. toards the lensK d decreases hen t increases.>. toards the lensK d increases hen t increases.. aa" from the lensK d is inde+endent of t.

33) *hich of the folloing $ units can !e e#+ressed in e#actl" to !ase $ units

A coulom! B tesla C neton D hert () A and C

34) A car is traelling at a elocit" of 24 m s-1 due est initiall". At a later time% it is seen traelling ata elocit" of 10 m s-1 due south. ien that the direction orth N% +oints erticall" u+ards% hichof the folloing ector 8 re+resents the change in elocit" of the car

()

8

35) A motorist traelling at 10 m s?1can !ring his car to rest in a !ra,ing distance of 10 m. $n hatdistance could he !ring the car to rest from a s+eed of 30 m s?1using the same !ra,ing force

A1/m B30m C52m D&0m ()21m

3') A !o" !los gentl" across the to+ of a +iece of glass tu!ing the lo end of hich is closed !" hisfinger so that the tu!e gies its fundamental note of freuenc"% f. *hile !loing% he remoes hisfinger from the loer end. The note he then hears ill hae a freuenc" of a++ro#imatel"

A N f B O f C 2 f D 4 f () 3f


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3/) The figure shos a uniform electric field.

A charge of -5 PC +laced at +oint Q is +ro6ected horiontall" toards R. *hich one of the folloingstatements is correct

A) The electric field is directed from Q to R and there is a loss of ,inetic energ" as the charge moesfrom Q to RB) The electric field is directed from R to Q and there is a loss of ,inetic energ" as the charge moesfrom Q to RC) The electric field is directed from Q to R and there is a gain of ,inetic energ" as the charge moesfrom Q to RD )The electric field is directed from R to Q and there is a gain of ,inetic energ" as the charge moesfrom Q to RE) The electric +otential is directed from Q to R and electric field directed from R to Q

3) >iagram (a) !elo shos a gra+h of dis+lacementy against distancex for a +rogressie ae at acertain time. At time0.4 s later% the +rofile of the ae is shon in diagram (!).

The re7ency & the %a"e isA 0.3 H< C 3.0 H. 0.2 mgl. . mgl.

(4/) A !o" sitting at the rim of a rotating merr"-go-round !los a histle continuousl" ithfreuenc" f0. An V!serer on the ground hears the sound of the histle. *hich of the gra+hs !elogies the +ossi!le ariation of the o!sered freuenc" f of the sound in a +eriod of reolution T

4) Iour eual charges = are +laced at four corners of a suare ith its centre at origin and l"ing in" +lane. The electrostatic +otential energ" of a fifth charge =H aries on #-a#is as:

( ) W

(4&) Iigure shos eui-+otential surfaces for a to charges s"stem. At hich of the la!eled +oints+oint ill an electron hae the highest +otential energ"


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(A) ;oint A (B) ;oint B (C) ;oint C (>) ;oint >

() ;oint B X >

(50) A uniform ire is clam+ed at !oth ends hich are 0.4 m a+art. The tension in the ire is '5 and the area of its cross section is 4.5 10-/ m2. *hen the ire is +luc,ed to +roduce transersei!rations% the freuenc" of the fundamental note o!tained is 1'0 D. The densit" of the ire is

A. 5 '00 ,g9m3 B. 00 ,g9m3 C. 12 '00 ,g9m3 >. 14 000 ,g9m3

. 22 000 ,g9m

3


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mcq paper 81