9702_s06_qp_2

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Centre NumberCandidate NumberName

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSGeneral Certificate of EducationAdvanced Subsidiary Level and Advanced LevelPHYSICSPaper 2 May/June 2006Candidates answer on the Question Paper.No Additional Materials are required.9702/021 hourREAD THESE INSTRUCTIONS FIRSTWrite your Centre number, candidate number and name on all the work you hand in.Write in dark blue or black pen in the spaces provided on the Question Paper.Do not use staples, paper clips, highlighters, glue or correction fluid.Answer allquestions.You may use a soft pencil for any diagrams, graphs or rough working.You may lose marks if you do not show your working or if you do not use appropriate units.At the end of the examination, fasten all your work securely together.The number of marks is given in brackets [ ] at the end of each question or part question.For Examiner’s Use12345678TotalThis document consists of 16printed pages.SPA (SJF3675/CG) S98404/3©UCLES 2006[Turn overhttp://www.xtremepapers.net2

Data

speed of light in free space,permeability of free space,permittivity of free space,elementary charge,the Planck constant,

unified atomic mass constant,rest mass of electron,rest mass of proton,molar gas constant,the Avogadro constant,the Boltzmann constant,gravitational constant,acceleration of free fall,

©UCLES 2006c=3.00×108ms–1

␮0=4␲×10–7Hm–1⑀0=8.85×10–12Fm–1

e=1.60×10–19Ch=6.63×10–34Jsu=1.66×10–27kgme=9.11×10–31kgmp=1.67×10–27kgR=8.31 JK–1mol–1NA=6.02×1023mol–1k=1.38×10–23JK–1G=6.67×10–11Nm2 kg–2g=9.81 ms–2

9702/02/M/J/06

Formulae

uniformly accelerated motion,

s=ut + at2v2=u2+2aswork done on/by a gas,W=p⌬V

gravitational potential,φ=–Gm

simple harmonic motion,a=– 󰃄2x

velocity of particle in s.h.m.,

v=v0cos 󰃄t

v=±󰃄√(x20– x2)resistors in series,R=R1+R2+. . .resistors in parallel,1/R=1/R1+1/R2+. . .electric potential,V=

Q4␲⑀0r

capacitors in series,1/C=1/C1+1/C2+. . .capacitors in parallel,C=C1+C2+. . .energy of charged capacitor,W=QV

alternating current/voltage,x=x0 sin 󰃄t

hydrostatic pressure,p=qghpressure of an ideal gas,p=

NmV

radioactive decay,x=x0 exp(–󰂶t)decay constant,

󰂶=0.693

tcritical density of matter in the Universe,q3H020=

8␲G

equation of continuity,Av=constant

Bernoulli equation (simplified),p1+qv12=p2

+qv22Stokes’ law,F=Ar␩vReynolds’ number,Rqe=

␩vr

drag force in turbulent flow,

F=Br2qv2

©UCLES 2006

9702/02/M/J/06

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Answer allthe questions in the spaces provided.

(a)Derive the SI base unit of force.

SI base unit of force = ………………………………… [1]

(b)A spherical ball of radius rexperiences a resistive force Fdue to the air as it moves

through the air at speed v. The resistive force Fis given by the expression

F= crv,

where cis a constant.

Derive the SI base unit of the constant c.

SI base unit of c= ………………………………… [1]

©UCLES 20069702/02/M/J/06

ForExaminer’sUse5

(c)The ball is dropped from rest through a height of 4.5m.

ForExaminer’sUse(i)

(ii)

©UCLES 2006Assuming air resistance to be negligible, calculate the final speed of the ball.

speed = …………………………… ms–1[2]

The ball has mass 15g and radius 1.2cm.

The numerical value of the constant c in the equation in (b) is equal to 3.2×10–4when measured using the SI system of units.

Show quantitatively whether the assumption made in (i) is justified.

[3]

9702/02/M/J/06

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A rod AB is hinged to a wall at A. The rod is held horizontally by means of a cord BD,attached to the rod at end B and to the wall at D, as shown in Fig.2.1.

wallDcordThingePFCABrodWFig.2.1

The rod has weight Wand the centre of gravity of the rod is at C. The rod is held inequilibrium by a force Tin the cord and a force Fproduced at the hinge.(a)Explain what is meant by

(i)

the centre of gravityof a body,

the equilibriumof a body.

.......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................[2]

©UCLES 20069702/02/M/J/06

ForExaminer’sUse7

(b)The line of action of the weight Wof the rod passes through the cord at point P.

Explain why, for the rod to be in equilibrium, the force Fproduced at the hinge must alsopass through point P.

shown in Fig.2.1.

Write down equations, in terms of F, W, T, αand β, to represent(i)

the resolution of forces horizontally,

..............................................................................................................................[1](ii)

the resolution of forces vertically,

..............................................................................................................................[1](iii)

the taking of moments about A.

..............................................................................................................................[1]

ForExaminer’sUse©UCLES 20069702/02/M/J/06

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(a)Explain what is meant by the internal energyof a substance.

.........................................................................................................................................................................................................................................................................................................................................................................................................................[2](b)State and explain, in molecular terms, whether the internal energy of the following

increases, decreases or does not change.

ForExaminer’sUse(i)

(ii)

©UCLES 2006a lump of iron as it is cooled

9702/02/M/J/06

(a)Define density.

.........................................................................................................................................................................................................................................................................................................................................................................................................................[1](b)A U-tube contains some mercury. Water is poured into one arm of the U-tube and oil is

poured into the other arm, as shown in Fig.4.1.

oil

water

ForExaminer’sUse71 cm

53 cmmercury

Fig. 4.1

The amounts of oil and water are adjusted until the surface of the mercury in the twoarms is at the same horizontal level. (i)

State how it is known that the pressure at the base of the column of water is thesame as the pressure at the base of the column of oil.

The column of water, density 1.0 ×103kgm–3, is 53cm high. The column of oil is71cm high.

Calculate the density of the oil. Explain your working.

©UCLES 2006

density = ………………………………. kgm–3[3]

[Turn over9702/02/M/J/06

Fig.5.1 shows the variation with force Fof the extension xof a spring as the force isincreased to F3and then decreased to zero.

F3FF2

0x1x2

Fig.5.1

(a)State, with a reason, whether the spring is undergoing an elastic change.

Show that the work Wdone in extending the spring is given by

W= k(x22– x12),

where kis the spring constant.

[3]

©UCLES 20069702/02/M/J/06

ForExaminer’sUse11

(c)A trolley of mass 850g is held between two fixed points by means of identical springs,

as shown in Fig.5.2.

trolleyspringForExaminer’sUseFig. 5.2

When the trolley is in equilibrium, the springs are each extended by 4.5cm. Each springhas a spring constant 16Ncm–1.

The trolley is moved a distance of 1.5cm along the direction of the springs. This causesthe extension of one spring to be increased and the extension of the other spring to bedecreased. The trolley is then released. The trolley accelerates and reaches itsmaximum speed at the equilibrium position.

Assuming that the springs obey Hooke’s law, use the expression in (b)to determine themaximum speed of the trolley.

speed = …………………………. ms–1[4]

©UCLES 20069702/02/M/J/06

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A long tube, fitted with a tap, is filled with water. A tuning fork is sounded above the top of thetube as the water is allowed to run out of the tube, as shown in Fig.6.1.

tuning fork512 Hz

32.4 cmFig. 6.1Fig. 6.2

A loud sound is first heard when the water level is as shown in Fig.6.1, and then again whenthe water level is as shown in Fig.6.2.

Fig.6.1 illustrates the stationary wave produced in the tube.(a)On Fig.6.2,

(i)sketch the form of the stationary wave set up in the tube,

[1](ii)

mark, with the letter N, the positions of any nodes of the stationary wave.

[1]

ForExaminer’sUse13

(b)The frequency of the fork is 512Hzand the difference in the height of the water level for

the two positions where a loud sound is heard is 32.4cm.

Calculate the speed of sound in the tube.

ForExaminer’sUsespeed = …………………… ms–1[3]

(c)The length of the column of air in the tube in Fig.6.1 is 15.7cm.

Suggest where the antinode of the stationary wave produced in the tube in Fig.6.1 islikely to be found.

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A circuit contains three similar lamps A, B and C. The circuit also contains three switches,S1, S2and S3, as shown in Fig.7.1.

AXS1S2S3BCYFig.7.1

One of the lamps is faulty. In order to detect the fault, an ohm-meter (a meter that measuresresistance) is connected between terminals X and Y. When measuring resistance, the ohm-meter causes negligible current in the circuit.

Fig.7.2 shows the readings of the ohm-meter for different switch positions.

switch

meter reading

S1S2S3/ Ωopenopenopenclosedopenopen15∞

Ωopenclosedopen30Ωopen

closed

closed15Ω

Fig.7.2

(a)Identify the faulty lamp, and the nature of the fault.

faulty lamp: .......................................................................................................................nature of fault: .............................................................................................................[2](b)Suggest why it is advisableto test the circuit using an ohm-meter that causes negligible

current rather than with a power supply.

ForExaminer’sUse15

(c)Determine the resistance of one of the non-faulty lamps, as measured using the ohm-meter.

ForExaminer’sUseresistance = …………………… Ω[1]

(d)Each lamp is marked 6.0V, 0.20A.

Calculate, for one of the lamps operating at normal brightness,(i)

its resistance,

resistance = …………………… Ω[2]

(ii)

its power dissipation.

power = …………………… W [2]

(e)Comment on your answers to (c)and (d)(i).

©UCLES 2006

9702/02/M/J/06

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The radioactive decay of nuclei is both spontaneous and random.Explain what is meant by

(a)radioactive decayof a nucleus,

Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Everyreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly beenincluded, the publisher will be pleased to make amends at the earliest possible opportunity.

University of Cambridge International Examinations is part of the University of Cambridge Local Examinations Syndicate (UCLES), which is itself adepartment of the University of Cambridge.

ForExaminer’sUse

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