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    S10 P 62An IGCSE student is investigating the rate of cooling of water in different containers.Fig. 2.1 shows the two containers.

    Aro!i"atel# 200 c"$ of hot water is oured into container A. A stocloc% is started andthe te"erature of the water is recorded at $0 s intervals. &ot water is then oured intocontainer B until there is sufficient to cover the ther"o"eter 'ul'. (he stocloc% is startedand the te"erature of the water is recorded at $0 s intervals. All the te"erature readingsare shown in (a'le 2.1.

    (a) (i) Co"lete the colu"n headings in the ta'le.(ii) Co"lete the ti"e colu"n in the ta'le.)2*

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    (b) Calculate the te"erature change of the water in each container over the eriod of1+0 s.Container A te"erature change , ............................................Container B te"erature change , ....................................... )1*(c) State which container- A or B- has the greater rate of cooling. ustif# #our answer '#reference to the readings.

    State"ent ........................................................................................................................ustification .......................................................................................................................................................................................................................................................... )2*(d) (o "a%e a fair co"arison 'etween the rates of cooling of the hot water in the twocontainers it is i"ortant to control other e!eri"ental conditions. Suggest two conditionsthat should 'e controlled in this e!eri"ent.1. .....................................................................................................................................2. ................................................................................................................................ )2*

    (he IGCSE class is investigating refraction and reflection of light in a transarent 'loc%.

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    (he 'loc% rests on a in 'oard covered with a sheet of lain aer. So"e of the lines andla'els that a student draws are shown in Fig. /.1.

    (a) (he student laces the transarent 'loc% ABCD on the sheet of lain aer. (he studentdraws a line around the 'loc% and then draws a nor"al to side AB.n Fig. /.1 la'el the nor"al NN'.)1*(b) ine EF shows an incident ra# that is at an angle of incidence i , $0 to the nor"al. (hestudent continues the line to a oint G.3raw two neat crosses on line EF and la'el the" P1 and P2 to show suita'le ositionsfor two ins that are to 'e used to trace the direction of the incident ra#. )1*

    (c) (he student o'serves the i"ages of P1 and P2 through side CD of the 'loc% fro" thedirection indicated in Fig. /.1 so that the i"ages of P1 and P2 aear one 'ehind theother. She then laces two ins P$ and P/ 'etween her e#e and the 'loc% so that P$- P/and the i"ages of P1 and P2- seen through the 'loc%- aear in line. (he ositions of P$and P/ are "ar%ed.(i) 3raw a line 4oining the ositions of P$ and P/. Continue the line so that it crossesCD and e!tends 'e#ond BC to cross line EFG. a'el the end of the line H.

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    (ii) 5easure the s"aller angle 'etween EFG and the line 4oining the ositions of P$-

    P/ and H.

    , ............................................

    (iii) Calculate the difference 78 2i 9. Show #our wor%ing.

    78 2i 9 , ............................................

    )/*(d) (he student reeats the e!eri"ent using an angle of incidence i , /0 to the nor"al

    and o'tains a value of , +2.

    Calculate the difference 78 2i 9.

    78 2i 9 , ........................................)1*

    (e) (heor# suggests that , 2i . State whether the two results in arts (c) and (d) suort

    the theor# and 4ustif# #our answer '# reference to the results.State"ent ........................................................................................................................ustification ...........................................................................................................................................................................................................................................................)2*

    S9 P6(he IGCSE class is investigating the resistance of a wire.(he circuit is shown in Fig. $.1.

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    AB is a resistance wire. (he students lace the sliding contact C on the resistance wire ABat a distancex , 0.100 " fro" A. (he# switch on and "easure the .d. V across the wire'etween A and C. (he# also "easure the currentI in the wire. (he value ofI is 0.$+ A.(he# reeat the rocedure several ti"es using different values of x. (he readings are shownin (a'le $.1. (he currentI is 0.$+ A for each value ofx.

    (a) Calculate the resistance R of the section AC of the wire for each value ofx using thee:uation R , V/I. ;ecord the values of R in the ta'le.

    (b)

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    (c) ?ithin the li"its of e!eri"ental accurac#- what do #ou conclude a'out the variation ofresistance with distance along the wire@ ustif# #our conclusion '# reference to #ourgrah.state"ent .........................................................................................................................

    4ustification ........................................................................................................................................................................................................................................................... )2*(d)

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    3A student is investigating the effect of surface area e!osed to the air on the rate of coolingof hot water.

    (he student is rovided with two containers. (he 'ea%er is la'elled A and the "easuringc#linder is la'elled B. Each container contains 100 c"$ of hot water. &e records thete"erature of the water at $0 s intervals for a total of four "inutes. (a'le $.1 shows the

    readings of ti"e t and te"erature .

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    (a) (i) fit curve.(ii)

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    (b) (he e!eri"ent is designed to investigate the effect of the surface area e!osed to theair on the rate of cooling. State 'riefl# the effect of a larger surface area on the rate ofcooling. ustif# #our answer '# reference to #our grah.state"ent ..........................................................................................................................

    4ustification ............................................................................................................................................................................................................................................................. )2*)(otal +*