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  • 8/19/2019 Practicals Manual XI BCKz

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    VERNIER  CALLIPER  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 1

    Aim:- Using Vernier Callipers determine the Volume ! " gien solid cylinder "nd capacity ! "

    test tube$

    Working Formula:-

    Volumeof solid cylinder=π x r2 x L

    Capacity of test tube=π x R2 x D

    Observation:-

    (i) Le"st %&nt ! ernier %"''i(ers ) L.C. ) ***** %m

    (ii) +er Errr ) Z.$ ) ***** %m

    !uantity ".#o. $.".%.

    cm

    V.".%.

    &iv

    F.'.L.C. V.".%.

    cm

    *.%.$.".%.+F.'.

    cm

    C.%.*.%. , Z..

    cm

    $ean

    cm

    E,tern"'

    i"meter 

    ! S'id

    C.'inder 

    -. d )

    .

    /.

    Length ! 

    S'id

    C.'inder 

    -. L )

    .

    /.

    Intern"'

    i"meter 

    ! test t&/e

    -. d1)

    .

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    VERNIER  CALLIPER  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 1

    /.

    e(th ! 

    test t&/e

    -. )

    .

    /.

    Calculation:-

     Radiusof solid cylinder=r=d

    2=

    2=  cm

     Radiusof test tube= R=d

    1

    2=

    2=  cm

    (i)   Volume of solid cylinder=π x r2 x L=3.142 x ( )2 x ( )

    ¿   cm3

    (ii)   Capacity of test tube=π x R2 x D=3.142 x ()2 x ()

    ¿   cm3

    %esult:-

    (i) V'&me ! the gien s'id %.'inder ) %m0$

    (ii) C"("%it. ! the gien test t&/e ) %m0$

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    SCRE 2UA2E  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 3

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    SCRE 2UA2E  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 3

    Aim:- Using $icrometer "cre0 gauge determine the Volume ! " gien sp1ere "nd cross

    sectional area ! the gien 0ire$

    Working Formula:-

    Volume of sphere=43

     x π x r3

    Cross sectionalarea of wire=π x R2

    Observation:-

    (i) Le"st %&nt ! mi%rmeter s%re4 g"&ge ) L.C. ) 2.22- %m

    (ii) +er Errr ) Z.$ ) %m

    !uantity ".#o. $.".%.

    cm

    C.".%.

    &iv

    F.'.L.C. C.".%.

    cm

    *.%.$.".%.+F.'.

    cm

    C.%.*.%. , Z..

    cm

    $ean

    cm

    i"meter 

    ! s(here

    -. d )

    .

    /.

    i"meter 

    ! 4ire

    -. )

    .

    /.

    Calculation:-

     Radiusof sphere=r =d

    2=

    2=  cm

     Radiusof wire= R= D

    2=

    2=  cm

    (i)  Volume of sphere=

    4

    3 x π x r

    3=4

    3 x 3.142 x ()3=  cm3

    (ii)Cross sectionalarea of wire=π x R2=3.142 x ()2=  c m2

    %esult:-

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    SCRE 2UA2E  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 3

    (i) V'&me ! the gien s(here ) %m0$

    (ii) Crss se%tin"' "re" ! the gien 4ire ) - %m3$

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  • 8/19/2019 Practicals Manual XI BCKz

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     SPHER5METER   PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 0

    Aim:- Using "p1erometer3 determine the %adius o4 Curvature ! "p1erical "ur4ace "nd

    *1ickness o4 5lass 'late$

    Working Formula:-

     Radiusof Curvature= R= a

    2

    6

    h

    +h

    2

    Thickness of Glass Plate=t =h2−h

    1

    Observation:-

    (i) Le"st %&nt ! mi%rmeter S(hermeter ) L.C. ) 2.22- %m

    (ii) Me"n dist"n%e /et4een

    'egs ! S(hermeter 

    ++¿3

    =3=cm

    ¿a=a

    1+a

    2+a

    3

    3=¿

    &istance bet0een Legs o4 "p1erometer

    Calculation:-

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     SPHER5METER   PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 0

    Calculation:-

    Thickness of Glass Plate=t =h2−h

    1=−¿   cm

     ei!ht of "pherical surface=h= #−h1=−¿   cm

     R= a

    2

    6h+

    h

    2=

    ()2

    6 x +

    2= + ¿+¿ cm

    %esult:-

    (i) Thi%6ness ! gien 2'"ss P'"te ) %m$

    (ii) R"di&s ! C&r"t&re ! gien S(heri%"' S&r!"%e ) %m$

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    !uantity ".#o. $.".%.

    cm

    C.".%.

    &iv

    F.'.L.C. C.".%.

    cm

    *.%.$.".%.+F.'.

    cm

    C.%.*.%. , Z..

    cm

    $ean

    cm

    7"se P'"te -. h1 )

    .

    /.

    2'"ss P'"te -. h3 )

    .

    /.

    S(heri%"'

    S&r!"%e

    -. A )

    .

    /.

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     VALUE 58 9g PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ;

    Aim:- (i) Using "imple 'endulum3 determine the value o4 6g7.

    (ii) ith the simple pendulum< re%rd the time !r -2 oscillations t1ree times !r e"%h

    ! the !''4ing 'engths ! (end&'&m$

    = >? %m = @? %m = ? %m = 1B? %m = 11? %m

    And hen%e time period (*) !r eac1 lengt1 "nd t"6e its s8uare$

    (iii) r"4 " grap1 bet0een L and *$ Se'e%t a suitable point 4rom t1e grap1 (#ot

    plotted one)< !ind its %rdin"tes "nd hen%e %"'%&'"te the "'&e ! 9g "t "r"%hi

    &sing !rm&'"D  !=4 π 2

      L

    T 2

    Working Formula:-

    !=4 π 2  L

    T 2

    Observation:-

    (i) Le"st %&nt ! st( 4"t%h ) 2.2- se%

    (ii) i"meter ! // ) d ) *** %m

    (iii) R"di&s ! // ) r ) *** %m

    Lengt1 o4 "tring

    and 9ook 

    cm

    Lengt1 o4 'endulum

    L

    L l  + r

    cm

    *ime 4or -2Oscillations

    sec

    $ean *ime

    t

    sec

    *ime 'eriod

    T =  t 

    10

    sec

    *

    sec

    :;

    -.

    .

    /.

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     VALUE 58 9g PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ;

    5rap1:- 2r"(h /et4een L "nd T3F

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     VALUE 58 9g PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ;

    Calculations:- 8rm 2r"(hF

    L ) %mD T3 ) se%3

    3.142¿2 x  =4 x9.872 x=cm/se c2

    !=4 π 2  L

    T 2=4 x ¿

    %esult:-

    The "'&e ! 9g "t "r"%hi is %mGse%3

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     VALUE 58 9g PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ;

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    Aim:- (i) Veri!. the la0 o4 mass "nd la0 o4 amplitude r la0 o4 lengt1F /. &sing sim('e

     (end&'&m ! 'ength =2 cm$

    (ii)  Nte d4n time !r -2 oscillations< t0o times !r 4ive di44erent amplitudes "nd

    t1ree di44erent bobs$

    (iii) P't " grap1 /et4een:-

    a) Amplitude "nd *ime period O% b) $ass "nd *ime period$

    (iv) rite d4n %n%'&sie res&'t$

    Observations:- 8r L"4 ! M"ssF

    ".#o

    .

    $aterial

    o4 >ob

    $ass o4 

    >ob

    m

    gm

    %adius

    o4 >ob

    r

    cm

    Lengt1

    o4 "tring

    and

    9ook 

    cm

    Lengt1 o4 

    'endulu

    m

    Ll  + r

    cm

    *ime 4or -2

    Oscillations

    sec

    $ean

    *ime

    t

    sec

    *ime

    'eriod

    T =  t 

    10

    sec

    1$ =2 -.

    .

    3$ =2 -.

    .

    0$ =2 -.

    .

    Observations:- 8r L"4 ! Am('it&deF

    i) R"di&s ! // ) r )cm

    ii) Length ! string "nd H6 ) l )cm

    iii) Length ! Pend&'&m ) L

    ) l   r )90cm

    Prerpared by ARIF RAZA Page 12 of 44

    ".#o

    .

    Amplitude

    ?

    cm

    *ime 4or -2

    Oscillations

    sec

    $ean

    *ime

    tsec

    *ime

    'eriod

    T =  t 

    10

    sec

    -. @ -.

    .

    . -.

    .

    /. < -.

    .

    @. -2 -.

    .

    ;. - -.

    .

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    Observations:- 8r L"4 ! LengthF

    i) R"di&s ! // ) r )cm

    Prerpared by ARIF RAZA Page 13 of 44

    ".#o. Lengt1 o4  

    "tring and

    9ook 

    cm

    Lengt1 o4 

    'endulum

    L l  + r

    cm

    *ime 4or -2

    Oscillations

    sec

    $ean

    *ime

    t

    sec

    *ime

    'eriod

    T =  t 

    10

    sec

    √  L

    cm-B

    √  L

    secBcm-B

    -.

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    5rap1:- 2r"(h /et4een m "nd TF

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    5rap1:- 2r"(h /et4een X "nd TF

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    %esults:-

    (i) The grap1 /et4een time period "nd mass ! the // is " 1oriontal line< 4hi%h sh4s th"t

    the time periodis independent o4

    t1e mass ! the

     //$

    (ii) The grap1 

     /et4een time

    period "nd

    amplitude !

    the // is "

    1oriontal line<

    4hi%h sh4sth"t the time

    period is

    independent o4

    t1e amplitude 

    ! the //$

    (iii) The grap1 /et4een time period "nd lengt1 o4 t1e pendulum is " straig1t line< 4hi%h

    sh4s th"t the time period is directly proportional to t1e lengt1 o4 t1e pendulum$

    Aim:- (i) 8ind the %e4ractive inde o4 0ater /. &sing t0o di44erent concave mirrors h"ing

    di!!erent !%"' 'engths "nd " pin.

    (ii) r"4 " ray diagram$

    (iii) T"6e "t least t1ree observations !r radius o4 curvature % -0it1out 0ater "nd

    t1ree 0it1 0ater %  4or eac1 res(e%tie'.$

    (iv) C"'%&'"te the re4ractive inde o4 0ater 4or bot1 %"ses &sing the !rm&'" $=

     R1

     R2

     "nd

    !ind their mean$

    (v) rite d4n the res&'t$

    Working Formula:-

     $= R1 R2

    Observations:- -st  Concave $irror

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    ".#o. %adius o4 Curvature o4 

    Concave $irror

    (Wit1out Water)

    cm

    $ean %adius o4 Curvature

    o4 Concave $irror

    (Wit1out Water)

    % -

    cm

    -.

    .

    /.

    ".#o. %adius o4 Curvature o4 

    Concave $irror

    (Wit1 Water)

    cm

    $ean %adius o4 Curvature

    o4 Concave $irror

    (Wit1 Water)

    cm

    -.

    .

    /.

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    nd  Concave $irror

    Calculations:-

    For - st  Concave $irror

    1$  $

    1=

     R1

     R2= =¿

    For nd  Concave $irror

    3$  $

    2=

     R1

     R2= =¿

    Me"n Re!r"%tie inde, )

    +¿2

    =2

    =¿

     $= $

    1+ $

    2

    2=¿

    %ay &iagram:-

    Prerpared by ARIF RAZA Page 18 of 44

    ".#o. %adius o4 Curvature o4 Concave $irror

    (Wit1out Water)

    cm

    $ean %adius o4 Curvatureo4 Concave $irror

    (Wit1out Water)

    % -

    cm

    -.

    .

    /.

    ".#o. %adius o4 Curvature o4 

    Concave $irror

    (Wit1 Water)

    cm

    $ean %adius o4 Curvature

    o4 Concave $irror

    (Wit1 Water)

    cm

    -.

    .

    /.

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # ?

      SIMPLE PENULUM 

    %esult:-

    The re!r"%tie inde, ! 4"ter is $

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

    Aim:- (i) Veri!. the la0 o4 mass "nd la0 o4 amplitude r la0 o4 lengt1F /. &sing sim('e

     (end&'&m ! 'ength =2 cm$

    (iii)  Nte d4n time !r -2 oscillations< t0o times !r 4ive di44erent amplitudes "nd

    t1ree di44erent bobs$

    (iv) P't " grap1 /et4een:-

    b) Amplitude "nd *ime period O% b) $ass "nd *ime period$

    (v) rite d4n %n%'&sie res&'t$

    Observations:- 8r L"4 ! M"ssF

    ".#o

    .

    $aterial

    o4 >ob

    $ass o4 

    >ob

    m

    gm

    %adius

    o4 >ob

    r

    cm

    Lengt1

    o4 "tring

    and

    9ook 

    cm

    Lengt1 o4 

    'endulu

    m

    Ll  + r

    cm

    *ime 4or -2

    Oscillations

    sec

    $ean

    *ime

    t

    sec

    *ime

    'eriod

    T =  t 

    10

    sec

    ;$ =2 -.

    .

    ?$ =2 -.

    .

    $ =2 -.

    .

    Observations:- 8r L"4 ! Am('it&deF

    i) R"di&s ! // ) r )cm

    ii) Length ! string "nd H6 ) l )cm

    iii) Length ! Pend&'&m ) L

    ) l   r )90cm

    Prerpared by ARIF RAZA Page 20 of 44

    ".#o

    .

    Amplitude

    cm

    *ime 4or -2

    Oscillations

    sec

    $ean

    *ime

    tsec

    *ime

    'eriod

    T =  t 

    10

    sec

    1$ @ -.

    .

    3$ -.

    .

    0$ < -.

    .

    ;$ -2 -.

    .

    ?$ - -.

    .

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

    Observations:- 8r L"4 ! LengthF

    ii) R"di&s ! // ) r ) cm

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    ".#o. Lengt1 o4  

    "tring and

    9ook 

    cm

    Lengt1 o4 

    'endulum

    L l  + r

    cm

    *ime 4or -2

    Oscillations

    sec

    $ean

    *ime

    t

    sec

    *ime

    'eriod

    T =  t 

    10

    sec

    √  L

    cm-B

    √  L

    secBcm-B

    .

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

    5rap1:- 2r"(h /et4een m "nd TF

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

    5rap1:- 2r"(h /et4een X "nd TF

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

    %esults:-

    (iv) The grap1 /et4een time period "nd mass ! the // is " 1oriontal line< 4hi%h sh4s th"t

    the time period is independent o4 t1e mass ! the //$

    (v) The grap1 /et4een time period "nd amplitude ! the // is " 1oriontal line< 4hi%h sh4s

    th"t the time period is independent o4 t1e amplitude ! the //$

    (vi) The grap1 /et4een time period "nd lengt1 o4 t1e pendulum is " straig1t line< 4hi%h

    sh4s th"t the time period is directly proportional to t1e lengt1 o4 t1e pendulum$

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      LAS 58  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

      SIMPLE PENULUM 

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    R ES5NANCE TU7E  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # >

    Aim:- (i) T4 t&ning !r6s ! di44erent 4re8uency @

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    R ES5NANCE TU7E  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # >

    (For velocity o4 sound at ero degree centigrade)

    V 0=V t −61 x T = −61 x ()=()−()cm/sec=cm/ sec

    %esult:-

    -. Ve'%it. ! s&nd "t rm tem(er"t&re iscm/sec

    D

    . Ve'%it. ! s&nd Jer degree %entigr"de iscm/sec

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    C5NVEX LENS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # @

    Aim:- (i) 8ind &t the 4ocal lengt1 ! conve lens /. no paralla met1od &sing t4 (ins$

    (ii)  Nte d4n the approimate 4ocal lengt1$

    (iii) Re%rd 4ive sets ! /ser"tins /. ('"%ing the obDect pin "t " dist"n%e:-

    a) A0ay !rm 4  *0o /ser"tinsF

    b) 8ual t 4  One /ser"tinF

    c) >et0een 4  "nd 4  *0o /ser"tinsF

    (iv) r"4 " ray diagram !r "n. ne (sitin$

    (v) P't " grap1 /et4een 6p7 "nd 687$ Se'e%t " suitable point not plotted oneF< !ind its

    %rdin"tes "nd calculate the 4ocal lengt1 ! the given conve lens &sing !rm&'"

    f  = p x '

     p+' < 4here "'' 'etters st"nd !r their &s&"' me"ning$

    (vi) rite d4n the res&'t 4ith s&it"/'e &nits$

    Working Formula:-

    f  = p x '

     p+'

    Observations:-

    A((r,im"te !%"' 'ength ) ! ) %m

      3! ) %m

    'osition o4 ObDect 'in

    ObDect

    &istance

    6p7

    cm

    Emage

    &istance

    687

    cm>eyond 4 

    (p 4)

    -.

    .

    -.

    .

    On 4 

    (p 4)

    /. /.

    >et0een 4 and 4 

    (p G 4)

    @.

    ;.

    @.

    ;.

    %ay &iagram:-

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    C5NVEX LENS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # @

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    C5NVEX LENS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # @

    5rap1:- 2r"(h /et4een ( "nd KF

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    C5NVEX LENS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # @

    Calculations:- 8rm 2r"(hF

     ( ) %m "nd K ) %m

    f  =

     p x '

     p+' =

    () x ()

    ()+() = =cm

    %esult:-

    The !%"' 'ength ! the gien %ne, 'ens iscm

    $

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    C5NVEX LENS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # @

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    2LASS SLA7  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

    Aim:- (i) etermine the re4ractive inde ! glass /. real "nd apparent dept1 methd &sing "

    g'"ss s'"/$

    (ii) T"6e t0o /ser"tins !r re"' "nd "(("rent de(th along the lengt1 "nd t4 "'ng

    breadt1$

    (iii) C"'%&'"te the re!r"%tie inde, ! g'"ss &sing the !rm&'"  $=

      Real depth

     #pparent depth

    (iv) rite d4n the res&'t$

    Working Formula:-

     $=  Real depth

     #pparent depth

    %ay &iagram:- Nt reK&ired in E,"min"tinF

    Along >readt1

    Observations:-

    &irection o4 

    Observation

    ".#o

    .

    %eal &ept1

    6a7

    cm

    Apparent &ept1

    6b7

    cm

    Along >readt1 -.

    .

    a1=¿

    a2=¿

    b1=¿

    b2=¿

    Along Lengt1 -.

    .

    a3=¿

    a4=¿

    b3=¿

    b4=¿

    Calculations:-

    -.  $

    1=

    a1

    b1= =

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    2LASS SLA7  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

    .  $

    2=

    a2

    b2= =

    /.  $

    2=

    a2

    b2= =

    @.  $

    4=

    a4

    b4= =

    +++¿4

    =4

    =

     &ean $= $

    1+ $

    2+ $

    3+ $

    4

    4=¿

     $=

    %esult:-

    The re!r"%tie inde, ! the g'"ss is

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    2LASS SLA7  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

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    2LASS PRISM  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 1B

    Aim:- (i) etermine the re4ractive inde ! glass /. critical angle met1od methd &sing "

    prism$

    (ii) T"6e t1ree /ser"tins !r %riti%"' "ng'e (r(er'. indicating t1e direction o4 rays$

    (iii) C"'%&'"te the re4ractive inde 4rom all observations &sing !rm&'" $=

      1

    sin∠C   

    "nd !ind their mean$(iv)rite d4n the res&'t$

    Working Formula:-

     $=  1

    sin∠C 

    %ay &iagram:-

    Observations:-

    ".#o.   ∠ P(L=∠2C 

    degree

    Critical Angle

    C∠

    ∠C =∠ P(L

    2

    degree

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    2LASS PRISM  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 1B

    -.   ∠C 1=¿

    .   ∠C 2=¿

    /.   ∠C 3=¿

    Calculations:-

    1$  $

    1=

      1

    sin∠C 1

    =  1

    sin()=

    1=

    3$  $

    2=

      1

    sin∠C 2

    =  1

    sin()=1

    =

    0$   $3=  1

    sin∠C 3

    =  1

    sin()=1

    =

    ++¿3

    =3

    =

     &ean $= $

    1+ $

    2+ $

    3

    3=¿

     $=

    %esult:-

    The re!r"%tie inde, ! the g'"ss is

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    2LASS PRISM  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 1B

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    VECT5RS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 11

    Aim:- (i) Using 5ravesendHs "(("r"t&s< dr"4 the 4orce diagram once< !r:-

    "F T4 similar 4eights ! ' "nd !D

    /F T4 di44erent 4eights ! ' "nd !$

    (ii) Re%rd the observation in tabular 4orm$

    (iii) etermine the resultant ! the t4 gien e%trs !r%esF /. re%t"ng&'"r %m(nents

    methd r /. the la0 o4 parallelogram methd &sing !rm&'"

     R =√  P2+)2+2 P) cos*

    (iv) rite d4n the res&'ts 4ith s&it"/'e &nits$

    Working Formula:-

     R =√  P2+)2+2 P) cos*

    Force &iagram:- (For sample)

    Observations:-

    ".#o "uspended

    Weig1ts

    gmI0t

    Lengt1 o4 

    Vectors

    cm

    Angle

    degree

    $agnitude

    o4 

    %esultant

    cm

    $agnitude

    o4 

    %esultant

    gmI0t

    $agnitude

    o4 

    %esultant

    by

    Formula

    gmI0t

    perimental

    rror

    gmI0t

     P   ⃗)   |  +́#| |  +́   ∠ #+%=*   |  +́D|   | R| | R|   || R|−| R||

    -. B B

    . ;B B ;

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    VECT5RS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 11

    Calculations:- (For 8ual Forces)

     R =√  P2+)2+2 P) cos*=√ (60)2+(60)2+2(60)(60)cos()

     R =√ 3600+3600+2 x3600 x=√ 7200+7200 x

    7200+¿=√ =  !m−wt 

     R =√ ¿

     R =   !m−wt 

    (For JnIe8ual Forces)

     R =√  P2

    +)2

    +2 P) cos*=√ (40)2

    +(60)2

    +2(40)(60)cos()

     R =√ 1600+3600+2 x2400 x=√ 5200+4800 x

    5200+¿=√ =  !m−wt 

     R =√ ¿

     R =   !m−wt 

    %esult:-

    The %"'%&'"ted "'&e

     R

    (¿¿  )¿

     ! the res&'t"nt ! t4 !r%es /. the ("r"''e'gr"m '"4 ! !r%es "nd

    its /sered "'&e

     R

    (¿¿ )¿

     "re same 0it1in t1e limits o4 eperimental error$

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    VECT5RS  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 11

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    VI7R52RAPH  PHYSICS XI PRACTICAL MANUAL EXPERIMENT # 

    13

    Aim:- (i) ith the he'( ! $eldeHs apparatus determine the 4re8uency ! A.C. supply$

    (ii) Re%rd the /ser"tins !r 6n7 n&m/er ! '(s once !r 4ive di44erent 0eig1ts in

    pan$

    (iii) 8ind mean lengt1 ! " loop in eac1 %"se$

    (iv) C"'%&'"te the 4re8uency !r 4ive di44erent 0eig1ts in pan &sing !rm&'"

    f  =  1

    2 L √ &!

     $  "nd hen%e 4ind their mean$

    2ien %nst"nt $=   !/cm

    Working Formula:-

    f  =  1

    2 L

    √ &!

     $

    Observations:-

    M"ss (er &nit 'ength ! string< $=   !/cm

    M"ss ! ("n ) m1 )!

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    ".#o $ass in

    'an

    mgm

    *otal

    "uspended

    mass

    $ m- + m

    gm

    #o. o4 

    Loops

    n

    Lengt1 o4 

    n Loops

    L

    cm

    Lengt1 o4 

    One Loop

    L l /n

     

    cm

    $ean

    Lengt1 o4 

    One Loop

    L

    cm

    -.

    M1 )

    (i)

    (ii)(iii)

    L1 )

    .

    M3 )

    (i)

    (ii)

    (iii)

    L3 )

    /.

    M0 )

    (i)

    (ii)

    (iii)

    L0 )

    @.

    M; )

    (i)

    (ii)

    (iii)

    L; )

    ;.

    M? )

    (i)

    (ii)

    (iii)

    L? )

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