Trial p2 2016 Smk Mantin (Answer)

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    Identity card number:……………………… Centre number/index number:…………………...

    960/2 Trial STPM 2016

    SMK MANTIN

    PHYSICS

    PAPER 2

    One and a half hor!

    SI"I# TIN$$I PERSEKO#AHAN MA#AYSIA

    (MALAYSIA HIGHER SCHOOL CERI!ICAE"

    In!%r&%ion! %o &andida%e!'

    (O NOT OPEN THIS )*ESTION PAPER *NTI#

    YO* ARE TO#( TO (O SO+

     Answer all questions in Section A. Marks will not be deducted  

     for wrong answers. For each question, four suggested 

    answers are given. Choose the correct answer and circle the

    answer.

     Answer all questions in Section B. Write your answers in the

     saces rovided.

     Answer any %,o questions in Section C. All essential  

    working should be shown. For nu!erical answers, unit should  

    be quoted wherever aroriate. Begin each answer on a fresh

     sheet of aer 

    and arrange your answers in nu!erical order.

    "alues of constants are rovided on age in this question aer.

    !#r examiner$% u%e

    &ue%ti#

    n

    #ta'

    mar%

    Mar%

    #btained

    Secti#n A

    1-1. )*

    Secti#n +

    16 ,

    1 -

    Secti#n C

    1 )*

    19 )*

    20 )*

    To%al 60

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    Se&%ion A ' An!,er all e!%ion! in %hi! !e&%ion

    ).e care #n te uranium nuc'eu% i%   1.5×10

    −17

     C and te care #n teα 

    01artic'e i%

      3.2×10−19

    C. 2at i% te e'ectr#%tatic 3#rce bet4een a uranium nuc'eu% and α  01artic'e

    %e1arated by 1.0×10−12

    m5

    A 4.3×10−12

     6 + 4.3×10−6

     6 C 4.3×10−2

     6 7 4.3  6

    8. e diaram %#4% te 9ariati#n #3 te e'ectric 3ie'd inten%ity #  4it te di%tance d  a'#n a

    %trait 'ine in an e'ectric 3ie'd.

    e %aded area under te cur9e bet4een M and 6 re1re%ent%

    A te 1#tentia' di33erence bet4een M and 6.

    + te t#ta' care tat m#9e% bet4een M and 6.

    C te e'ectric 3ie'd inten%ity bet4een M and 6.

    7 te 4#r d#ne aain%t te e'ectric 3ie'd t# m#9e a unit 1#%iti9e care 3r#m M t# 6.

    V =∫ Edx   an%4er : A

    . e diaram %#4% t4# ca1acit#r% c#nnected t# a d.c. %u11'y. e care #n te ;

    A ;.;) C + ;.;8 C C ;.; C 7 ;.;= C

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    =. 2en a ca1acit#r % cared t# *> and ten di%cared tr#u a re%i%t#r? te time c#n%tant #3 te

    circuit i% te %ame a%

    A1

    2  #3 te initia' care a% 'e3t te ca1acit#r.

    +1

    e   #3 te initia' care i% 'e3t in te ca1acit#r.

    C1

    π   #3 te initia' care i% 'e3t in te ca1acit#r.

    71

    e   #3 te initia' care a% 'e3t te ca1acit#r.

    *. e diaram %#4% a meta' %tri1 #3 cr#%%0%ecti#na' area A  and 'ent l  c#nnected t# a battery.

    I3 te 1#tentia' di33erence acr#%% te %tri1 i% > and te current 3'#4in i%  $, te c#nducti9ity #3 te

    %tri1 i%

    A I l

    VA   +VA

     I l   CV l

     IA   7 IA

    V l

    @. e diaram %#4% a 4ire #3 'ent @;cm c#n%i%tin #3 an ir#n c#re #3 diameter .;mm

    %urr#unded by c#11er #3 externa' diameter =.;mm.

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    e re%i%tance #3 te 4ire i%

    Re%i%ti9ity #3 te ir#n B ).; x );0- m D C#11er B ).- x );0, m 

    A 1.52×10−3

    + 1.66×10−3

    C 2.01×10−3

    7 2.51×10−3

    -. Firc#33$% t4# 'a4% 3#r e'ectric circuit% can be deri9ed by u%in certain c#n%er9ati#n 'a4%. On

    4ic c#n%er9ati#n 'a4% d# Firc#33$% 'a4% de1end5

     %irchhoff&s first law %irchhoff&s second law

    A Care Current

    + Care Enery

    C Current Ma%%

    7 Enery Current

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    ,. A a'9an#meter 4ic a% a re%i%tance #3 ) i9e% a 3u''0%ca'e de3'ecti#n 4en a current #3 )mA 3'#4% tr#u it. i% a'9an#meter can be m#di3ied t# mea%ure 1#tentia' di33erence% u1 t#

    %e9era' 9#'t%. 2ic #3 te 3#''#4in m#di3ied arranement% i% c#rrect5

    A +

    C 7

    . e diaram %#4% a current0carryin c#11er 4ire in a manetic 3ie'd. e manetic 3#rce #n te

    %trait c#11er 4ire #3 'ent ,.; cm carryin a current #3 =.; A in a uni3#rm manetic 3ie'd at an

    an'e #3 ;; t# te 3ie'd i% 1.12×10−3

     6. e manitude #3 te manetic 3'ux den%ity i%

    A ;.;;* + ;.;;- C ;.;); 7 ;.;)*

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    );

    .

    In te diaram be'#4? i% a circu'ar c#i' #3 4ire carryin a c'#c4i%e current  $  a% %#4n.

    R i% a '#n? %trait 4ire carryin a current 1er1endicu'ar'y int# te 1'ane #3 te 1a1er tr#u te

    centre #3 te c#i'. +ecau%e #3 te current in R eac 1art #3 te 4ire ex1erience%

    A a 3#rce int# te 1'ane #3 te 1a1er. C a 3#rce t#4ard% R.

    + a 3#rce #ut #3 te 1'ane #3 te 1a1er. 7 n# 3#rce in any directi#n.

    )). 2ic #3 te 3#''#4in ra1% be%t re1re%ent% te 9ariati#n #3 te manetic 3'ux den%ity B due t#

    a c#n%tant current in a '#n %trait 4ire te di%tance r 5

    A C

    + 7

    )8

    .

    A rectanu'ar c#i' #3 4idt w and 'ent?    m#9in at a c#n%tant 9e'#city? v tr#u a uni3#rm

    manetic 3ie'd + directed 1er1endicu'ar t# v i% %#4n in te diaram.

    I3 te manetic 3ie'd i% c#n3ined t# a rei#n #3 4idt 'w? 4ic ra1 %#4% te 9ariati#n #3

    induced e.m.3.? #  4it di%tance (5

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    A C

    + 7

    )

    .

     2ic #3 te 3#''#4in ra1% %#4% te 9ariati#n #3 te reactance #3 a ca1acit#r ) c 4it

    3reuency f  #3 te a.c. 1a%%in tr#u it5

    A C

    + 7

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    )=

    .

    e mean 1#4er di%%i1ated in a re%i%t#r #3 re%i%tance R 4en an a.c. 4it 1ea 9#'tae ># 1a%%e%

    tr#u it i% * . e re'ati#n%i1 bet4een *," o and + i%

    A P=

      V o2

    √ 2 R   + P=

    V o2

    4 R   C P=

      V  o2

    2√ 2 R   7

     P=V o

    2

    2 R

    7

    )*

    .

    An a.c.1#4er %u11'y 4it a c#n%tant r.m.%. 9#'tae and 9ariab'e 3reuency i% c#nnected in %erie%

    t# a 1ure induct#r. 2ic ra1 %#4% te 9ariati#n #3 te r.m.%. current  $  4it te 3reuency f 5

    A C

    + 7

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    SECTION

    31. 4ar5!

     Answer all questions in this section

    )@. A 'are '#n %#'en#id i% made 4it @; turn% 1er centimetre. A %ma''er %#'en#id a% ; turn%?

    i% 8.; cm '#n and a% a diameter #3 ;.,; cm. e end% #3 te %ma'' %#'en#id are c#nnected

    t# a ); J re%i%t#r. e %ma'' %#'en#id i% 1'aced rit in te centre #3 te 'are %#'en#id. In

    te diaram be'#4 te %ma'' %#'en#id i% %#4n #ut%ide te 'are %#'en#id 3#r c'arity. e

    'are %#'en#id i% ten c#nnected t# a 7C 1#4er %u11'y 4ic cane% te current in te

    'are %#'en#id 3r#m Ker# t# ); A in a time #3 8.; m%.

     

    i" Ca'cu'ate te manitude #3 te manetic 3ie'd in te 'are %#'en#id 4en te current i% at

    it% maximum 9a'ue #3 ); A. 8Mar%

    ii" Ca'cu'ate te a9erae current 1a%%in tr#u te ); J re%i%t#r 4i'e te current in te

    'are %#'en#id i% canin. 8Mar%

    iii" I3 te directi#n #3 te current in te 'are %#'en#id i% a% %#4n in te diaram? in 4ic

    directi#n d#e% current # in te re%i%t#r (t# te 'e3t #r t# te rit"5

    )Mar

     

    #4er %u11'y

    10 Ω

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    i9" Ca'cu'ate te mutua' inductance #3 te t4# c#i'%.

    8Mar%

    )-.a

    c

    (c" A circuit c#n%i%tin #3 a %inu%#ida' a.c. %u11'y $$ o sin -t  and a 1ure induct#r #3

    inductance L i% %#4n in te diaram be'#4.

     $$ o sin -t L

    (i" I3 > i% te in%tantane#u% 1#tentia' di33erence acr#%% te induct#r? deri9e an

     ex1re%%i#n 3#r > 8 mar%

     

    (ii" 7eri9e an ex1re%%i#n 3#r te reactance L #3 te induct#r? and ence? deduce 4at a11en i3 te a.c. %u11'y i% #3 i 3reuency. 8 mar%

    (iii" Setc te 1a%#r diaram #3 > and I in te circuit. 8 mar%

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      (i9" I3 te current %u11'y a% an r.m.%. 9a'ue #3 ;.@* A? a 3reuency #3 *;.; HK and an

    inductance #3 );; mH? ca'cu'ate te r.m.%. 9#'tae acr#%% te induct#r. 8 mar%

    Secti#n C

    ; mar(%E

    An%4er A6Y 2O & N E S IO6 O6 L Y 3r#m ti% %ecti#n in y#ur #4n an%4er %eet%.

    ),.ca1acit#r (a" 7e3ine die'ectric c#n%tant #3 a materia'. )

    (b" +y u%in Gau%%$% La4? deri9e an ex1re%%i#n 3#r te ca1acitance #3 an air 03i''ed

     1ara''e' 1'ate ca1acit#r in term% #3 te 1ermitti9ity #3 3ree %1ace #? te area #3 a 1'a

    A and te %e1arati#n bet4een te 1'ate% d.

    (c" A 1ara''e' 1'ate ca1acit#r #3 ca1acitance 8;.; P! a% a die'ectric 4#%e die'ectri

    c#n%tant i% eua' t# =.;;. e ca1acit#r i% initia''y cared by a battery #3 em3 )8 .;

    and te battery i% ten di%c#nnected. I3 te die'ectric i% 1u''ed #ut 3r#m te ca1acit#r

    unti' #n'y a'3 #3 te %1ace bet4een te 1'ate% i% 3i''ed 4it te die'ectric?

    (i" ca'cu'ate te ne4 ca1acitance #3 te ca1acit#r.

    (iii" 3ind te 4#r d#ne t# 1u'' #ut te die'ectric unti' a'3 #3 te %1ace bet4een te

     1'ate% i% 3 i''ed 4it die'ectric .

    8

    (d" In te circuit be'#4? a'' te ca1acit#r% are initia''y uncared. e %4itc i% ten

    c'#%ed at time t

    B ; %.

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    A

    (i" Ca'cu'ate te initia' readin #3 te ammeter. ) (ii"

    7etermine te eui9a'ent ca1acitance bet4een te 1#int% A and +. 8 (iii" At

    time t B )*.; %? ca'cu'ate te 1#tentia' di33erence acr#%% ca1acit#r C .

    ).direct current (a" State Firc#33$% 'a4% #3 e'ectric circuit%. 8 Mar%(b" A ce'' #3 e.m.3 @.; > and interna' re%i%tance 8.; ? and t#eter ce'' #3 e.m.3 .;

    and interna' re%i%tance ).; are c#nnected t# a )8 re%i%t#r a% %#4n in te 3iure

     be'#4.

    (i" Ca'cu'ate te 9a'ue #3 te current% $, $  and $ /.  @ Mar%

    (ii" 2at i% te 1#tentia' di33erence acr#%% te )8 re%i%t#r5 Mar%

    (c" In te circuit %#4n be'#4? te 'ent #3 te %'ide 4ire i% ).; m and te centre0

    Ker# a'9an#meter i% ba'anced. Ca'cu'ate te re%i%tance +.  = Mar%

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    8;. (a" (i" 7e3ine !agnetic flu( density 3#r a c#nduct#r  carryin a current. 8 mar%

      (ii" +y u%in y#ur de3initi#n in (a"(i"? deduce an ex1re%%i#n 3#r te 3#rce actin #

    a care m#9in 1er1endicu'ar'y int# a manetic 3ie'd. mar%

    (b" A 1r#t#n m#9e% 4it a %1eed #3 @.* x );@ m%0) 1er1endicu'ar'y int# a manetic

    3ie'd #3 ;.*;

      (i" Gi9e a 'abe''ed %etc diaram #3 te manetic 3ie'd and te 1at #3 te 1r#t#

    in te manetic 3ie'd. 8 mar%

      (ii" Ca'cu'ate te radiu% #3 1at taen by te 1r#t#n. 8 mar%

      (iii" Ca'cu'ate te 1eri#d #3 re9#'uti#n #3 te 1r#t#n. 8 mar%

      (i9" Ex1'ain 4y te inetic enery #3 te 1r#t#n d#e% n#t cane durin it%

    m#ti#n in te manetic 3ie'd. 8 mar%

    (9" I3 te 1r#t#n i% re1'aced by an e'ectr#n? %tate t4# di33erence% bet4een te 1at #

    e'ectr#n and te #riina' 1at #3 te 1r#t#n. 8 mar%

     

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    Prepared by, Verifed by,

    ……………………………

    ……………………………………

    (PN WONG CHAI YEN) (PN VONG SAY LEE) 

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    Mar5in7 S&he4e

    )@.

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    )-.

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    ),.ca1acit

    #r 

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    ).direct

    current

    8;.

    manetic

    3ie'd (a"(i" Manetic 3'ux den%ity i% de3ined a%θ %in $l 

     F  B =

    4ere $ i% te

    current 3'#4 tr#u a c#nduct#r #3 'ent l  and i% 1'aced at an an'e θ t#

    te directi#n #3 acti#n #3 a manetic 3ie'd tat 4i'' 1r#duce a 3#rce F  #n

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    'a#"e%i fed e"%er* perpe"di+ary i"% %-e pa"e . %-e paper

    P*i%i/e -ar#e

    te c#nduct#r. 8/;

    (ii"

    E)A?

    E)A?

    E)AG;?

    −−−−−−−−−−−−−−−−−==

    −−−−−−−−−−−−−−−=   

      =

    −−−−−−−−−−−−−−−−==

    l v Bqv F 

    q $ l 

    q B F 

     B$l  F    oθ 

    (b" (i"

    )Q)

    (ii"

    ( )( )( ) ( )E)A):.;

    );@;.)*;.;);*.@);@@.)

    E)A

    )G

    @8-

    8

    −−−−−−−−−−−−−−−−−−−−=

    =

    =

    −−−−−−−−−−−−−−−−−−−=

    !r 

     ( ( (r 

     Bq

    !vr 

    !v Bqv

    (iii"

    ( )( )( )

    E)A);:;.)

    );@;.)*;.;

    );@@.)8

    8

    8

    E)A

    -

    )G

    8-

    8

    −−−−−−−−−−−−−−−−−−−−×=

    ××

    =

    =

       

      =

    =

    −−−−−−−−−−−−−−−−−−−=

     s0 

     Bq

    !0 

    ! Bq

    !v Bq

    !v Bqv

    π 

    π 

    π 

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