Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

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1 * * ambridge International Examinations ambridge International dvanced Subsidiary and dvanced Level PHYSIS 97/13 Paper 1 Multiple hoice May/June 18 dditional Materials: Multiple hoice nswer Sheet Soft clean eraser Soft pencil (type or H is recommended) 1 hour 15 minutes RE THESE INSTRUTIONS FIRST Write in soft pencil. o not use staples, paper clips, glue or correction fluid. Write your name, entre number and candidate number on the nswer Sheet in the spaces provided unless this has been done for you. O NOT WRITE IN NY ROES. There are forty questions on this paper. nswer all questions. For each question there are four possible answers,, and. hoose the one you consider correct and record your choice in soft pencil on the separate nswer Sheet. Read the instructions on the nswer Sheet very carefully. Each correct answer will score one mark. mark will not be deducted for a wrong answer. ny working should be done in this booklet. Electronic calculators may be used. This document consists of printed pages. I18 6_97_13/3RP ULES 18 [Turn over

2 ata speed of light in free space c = m s 1 permeability of free space µ = 4π 1 7 H m 1 permittivity of free space ε = F m 1 ( 1 4πε = m F 1 ) elementary charge the Planck constant unified atomic mass unit rest mass of electron rest mass of proton e = h = J s 1 u = kg m e = kg m p = kg molar gas constant R = 8.31 J K 1 mol 1 the vogadro constant N = mol 1 the oltzmann constant k = J K 1 gravitational constant G = N m kg acceleration of free fall g = 9.81 m s ULES 18 97/13/M/J/18

3 3 Formulae uniformly accelerated motion s = ut + 1 at v = u + as work done on/by a gas W = p V gravitational potential φ = Gm r hydrostatic pressure p = ρ gh pressure of an ideal gas p = 1 Nm <c > 3 V simple harmonic motion velocity of particle in s.h.m. a = ω x v = v cos ωt x v = ± ω ( x ) oppler effect f = o electric potential V = fsv v ± v s Q 4πε r capacitors in series 1 / = 1 / / +... capacitors in parallel = energy of charged capacitor electric current 1 W = QV I = nvq resistors in series R = R 1 + R +... resistors in parallel 1 / R = 1 / R / R +... Hall voltage alternating current/voltage I V H = ntq x = x sin ωt radioactive decay x = x exp( λt) decay constant λ =.693 t 1 ULES 18 97/13/M/J/18 [Turn over

4 1 What is the best way of describing a physical quantity? 4 a quantity with a magnitude and a direction but no unit a quantity with a magnitude and a unit a quantity with a magnitude but no direction a quantity with a unit but no magnitude Which pair includes a vector quantity and a scalar quantity? displacement and acceleration force and kinetic energy power and speed work and potential energy 3 force F acts at an angle θ to the horizontal. F θ horizontal What are the horizontal and the vertical components of the force? horizontal component vertical component F cosθ F cos (9 θ ) F cosθ F sin (9 θ ) F sinθ F cosθ F sinθ F cos (9 θ ) 4 What will reduce the systematic errors when taking a measurement? adjusting the needle on a voltmeter so that it reads zero when there is no potential difference across it measuring the diameter of a wire at different points and taking the average reducing the parallax effects by using a marker and a mirror when measuring the amplitude of oscillation of a pendulum timing oscillations, rather than a single oscillation, when finding the period of a pendulum ULES 18 97/13/M/J/18

5 5 5 In an experiment to determine the Young modulus E of the material of a wire, the measurements taken are shown. mass hung on end of wire original length of wire diameter of wire extension of wire m =.3 ±. kg l =.864 ±.5 m d =.8 ±.1 mm e = 7.6 ±. mm The Young modulus is calculated using le= 4mg πd e where g is the acceleration of free fall. The calculated value of E is N m. How should the calculated value of E and its uncertainty be expressed? (1.61 ±.4) 1 1 N m (1.61 ±.5) 1 1 N m (1.61 ±.7) 1 1 N m (1.61 ±.9) 1 1 N m 6 rock on the surface of Mars is projected vertically upwards with an initial speed of 9.4 m s 1. The rock rises to a height of 1 m above the surface. ssume there is no atmosphere on Mars. What is the acceleration of free fall near the surface of Mars?.39 m s 3.7 m s 7.4 m s 9.8 m s ULES 18 97/13/M/J/18 [Turn over

6 6 7 Two masses, M and m, are connected by an inextensible string which passes over a frictionless pulley. Mass M rests on a frictionless slope, as shown. m M frictionless slope θ The slope is at an angle θ to the horizontal. The two masses are initially held stationary and then released. Mass M moves down the slope. Which expression must be correct? sinθ < M m cosθ < M m sinθ > M m cosθ > M m 8 sky-diver falls from a stationary balloon at time t =. s the sky-diver falls, her speed and the air resistance increase until the force of the air resistance is equal to her weight. Which graph best shows the variation with time t of the displacement s for the motion of the sky-diver? s s s s t t t t ULES 18 97/13/M/J/18

7 7 9 ball of mass. kg, travelling in the x-direction at a speed of.5 m s 1, collides with a ball of mass.3 kg travelling in the y-direction at a speed of.4 m s 1. The two balls stick together after the collision, travelling at an angle θ to the x-direction..3 kg.5 m s 1.4 m s 1 x-direction. kg θ y-direction What is the value of θ? Four cuboids with identical lengths, breadths and heights are immersed in water. The cuboids are held at the same depth and in identical orientations by vertical rods, as shown. W X Y Z 4 ρ ρ ρ.5 ρ Water has density ρ. uboid W is made of material of density 4ρ. uboid X is made of material of density ρ. uboid Y is made of material of density ρ. uboid Z is made of material of density.5ρ. Which statement is correct? The upthrust of the water on each of the cuboids is the same. The upthrust of the water on W is twice the upthrust of the water on X. The upthrust of the water on X is twice the upthrust of the water on W. The upthrust of the water on Y is zero. ULES 18 97/13/M/J/18 [Turn over

8 8 11 rectangular block of lead of density kg m 3 has sides of length 1. cm, 15. cm and 1. cm. What is the maximum pressure the block can exert when resting on a table? 1.13 kpa 1.7 kpa 11.1 kpa 16.6 kpa 1 Which diagram shows a couple formed by two forces, each of magnitude F, acting on a rod? F F F F F F F F 13 Full-fat milk is made up of fat-free milk mixed with fat. volume of m 3 volume. of full-fat milk has a mass of 1.35 kg. It contains 4.% fat by The density of fat-free milk is kg m 3. What is the density of fat? kg m kg m kg m kg m 3 ULES 18 97/13/M/J/18

9 9 14 Gas is trapped inside a cylinder by a piston of cross-sectional area. The piston is not frictionless. P r Q gas atmospheric pressure s The gas is heated and this causes it to expand, pushing back the piston through distance r from position P to position Q. The length of the gas column is then s. Which expression represents the amount of work done by the gas against the atmosphere during this expansion? (atmospheric pressure) r (atmospheric pressure) s (pressure inside the gas) r (pressure inside the gas) s 15 Water from a reservoir is fed to the turbine of a hydroelectric system at a rate of 51 kg s 1. The reservoir is 8 m above the level of the turbine. The electrical output from the generator driven by the turbine is a current of 5 at a potential difference of 58 V. What is the efficiency of the system? 8.3% 1% 83% 85% ULES 18 97/13/M/J/18 [Turn over

10 1 16 ball is thrown vertically up into the air. It rises to the top of its path before beginning to fall vertically downwards. top of path midpoint of path starting position ssume that the gravitational potential energy of the ball is zero at its starting position. Which statement about the ball is not correct? s it rises, its kinetic energy is transferred to gravitational potential energy. t the midpoint of its path, its gravitational potential energy is equal to its initial kinetic energy. t the top of its path, its kinetic energy is zero. t the top of its path, its total energy is less than its initial total energy. 17 force of 1 N is needed to lift the hook of a crane at a constant velocity. The crane is then used to lift a load of mass 1 kg at a constant velocity of.5 m s 1. What is the power needed to lift the hook and the load? 4.9 kw 5.4 kw kw kw 18 ata for a steel wire on an electric guitar are listed. diameter = m Young modulus = Pa tension = N The wire snaps and contracts elastically. ssume the wire obeys Hooke s law. y what percentage does the length l of a piece of the wire contract? % % % % ULES 18 97/13/M/J/18

11 19 The graph shows how the extension of a spring varies with the force used to stretch it. 4. extension / cm force / kn What is the strain energy in the spring when the extension is 4. cm? 6 J 1 J 6 J 1 J The displacement-distance graph for a transverse progressive wave is shown. displacement X distance Y The phase difference between points X and Y can be expressed as (18 n). What is the value of n? ULES 18 97/13/M/J/18 [Turn over

12 1 1 The four graphs represent a progressive wave on a stretched string. Graphs and show how the displacement d varies with distance x along the string at one instant. Graphs and show how the displacement d varies with time t at a particular value of x. The labels on the graphs are intended to show the wavelength λ, the period T and the amplitude a of the wave, but only one graph is correctly labelled. Which graph is correctly labelled? T λ d a d x a x λ T d a d a t t cathode-ray oscilloscope (c.r.o.) is used to determine the frequency of a sound wave. The diagram shows the waveform on the screen. The time-base setting is 5. ms / div. What is the frequency of the sound wave? 57 Hz 71 Hz 114 Hz 143 Hz ULES 18 97/13/M/J/18

13 13 3 police car travels at a velocity of 3. m s 1 directly towards a stationary observer. The horn of the car emits sound of frequency Hz. The speed of sound is 34 m s 1. What is the frequency of the sound heard by the observer? 184 Hz Hz 18 Hz 19 Hz 4 vibrating tuning fork is held over a measuring cylinder, as shown. water tuning fork Water is then gradually poured into the measuring cylinder. much louder sound is first heard when the water level is.9 cm above the base of the measuring cylinder. second much louder sound is heard when the water level reaches a height of 67.3 cm above the base. The speed of sound in air is 33 m s 1. What is the frequency of the tuning fork? 18 Hz 56 Hz 51 Hz 14 Hz 5 water wave in a ripple tank is diffracted as it passes through a gap in a barrier. Which two factors affect the angle of diffraction of the wave? the amplitude and frequency of the incident wave the amplitude of the incident wave and the width of the gap the wavelength and amplitude of the incident wave the wavelength of the incident wave and the width of the gap 6 double-slit interference pattern using red light of wavelength m has a fringe spacing of 3.5 mm. Which fringe spacing would be observed for the same arrangement of apparatus but using blue light of wavelength m?.3 mm 3.5 mm 5.4 mm 9. mm ULES 18 97/13/M/J/18 [Turn over

14 14 7 Two parallel metal plates are situated cm apart in a vacuum. They are connected to two sources of potential difference as shown. proton cm V 3 V proton is released in the space between the plates. What is the magnitude and direction of the acceleration of the proton? m s downwards m s upwards m s downwards m s upwards 8 particle having mass m and charge +q enters a uniform electric field with speed v. Initially, the particle is travelling at right-angles to the electric field. uring its movement through the field, the particle is deflected through distance d, as shown. path of particle d region of uniform electric field second particle of mass m, charge +q and speed v enters the electric field along the same path. What is the distance through which this particle is deflected in the electric field? d 4 d d 4d ULES 18 97/13/M/J/18

15 15 9 What is a possible charge on a particle? slice of germanium of cross-sectional area 1. cm carries a current of 56 µ. The number density of charge carriers in the germanium is cm 3. Each charge carrier has a charge equal to the charge on an electron. area 1. cm slice of germanium current 56 µ What is the average drift velocity of the charge carriers in the germanium?.18 m s 1 18 m s 1 18 m s 1 18 m s 1 31 cell of electromotive force (e.m.f.) E and internal resistance r is connected to an external resistor of resistance R, as shown. E r R What is the power dissipated in the external resistor? E ( R + r ) R E R ( R + r ) E ( R + r ) r E r ( R + r ) ULES 18 97/13/M/J/18 [Turn over

16 3 The graph shows the I-V characteristic of an electrical component. I 16 V What is the component? a filament lamp a metallic conductor at constant temperature a resistor a semiconductor diode 33 metal wire of length 1.4 m has a uniform cross-sectional area of m. The resistivity of the metal is Ω m. What is the resistance of the wire?.16 Ω.31 Ω 33 Ω 64 Ω ULES 18 97/13/M/J/18

17 17 34 battery of electromotive force (e.m.f.) 6. V and negligible internal resistance is connected to three resistors each of resistance 6. Ω. Which circuit will produce a current through the battery of.67? 6. V 6. V 6. Ω 6. Ω 6. Ω 6. Ω 6. Ω 6. Ω 6. V 6. V 6. Ω 6. Ω 6. Ω 6. Ω 6. Ω 6. Ω ULES 18 97/13/M/J/18 [Turn over

18 18 35 The diagram shows a network of three resistors. Two of these, marked R, are identical. The other resistor has a resistance of 5. Ω. Y R X 5. Ω R Z The resistance between Y and Z is found to be.5 Ω. What is the resistance between X and Y?.3 Ω.53 Ω 1.9 Ω 3.3 Ω 36 The diagram shows a battery, a fixed resistor, an ammeter and a variable resistor connected in series. voltmeter is connected across the fixed resistor. V The resistance of the variable resistor is reduced. Which row describes the changes in the readings of the ammeter and of the voltmeter? ammeter voltmeter decrease decrease decrease increase increase decrease increase increase ULES 18 97/13/M/J/18

19 19 37 The circuit diagram shows a battery of electromotive force (e.m.f.) 9. V and negligible internal resistance. It is connected to two resistors of resistances 16 Ω and R. The output potential difference V out is 4. V. 16 Ω 9. V R V out = 4. V What is the resistance R? 3 Ω 49 Ω 71 Ω 18 Ω 38 In the circuit shown, XY is a length L of uniform resistance wire. potential difference is applied across XY. R 1 and R are unknown resistors. J is a sliding contact that joins the junction of R 1 and R to points on XY through a lamp S. L X x Y + J S R 1 R J is moved along XY to a point at which the lamp is off. This point is at a distance x from X. The potential difference across R 1 is V 1 and the potential difference across R is V. What is the value of the ratio L x x L V 1? V L x x L x x ULES 18 97/13/M/J/18 [Turn over

20 39 nucleus of magnesium-3 undergoes β + decay, as represented by the nuclear equation shown. What is nucleus X? 3 1 Mg X + β + + ν e Na l 11 Na 13 l Which list contains only leptons? electron, neutrino, positron electron, neutrino, proton electron, proton, neutron neutrino, neutron, positron Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (ULES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the ambridge International Examinations opyright cknowledgements ooklet. This is produced for each series of examinations and is freely available to download at after the live examination series. ambridge International Examinations is part of the ambridge ssessment Group. ambridge ssessment is the brand name of University of ambridge Local Examinations Syndicate (ULES), which is itself a department of the University of ambridge. ULES 18 97/13/M/J/18

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level *5399695* ambridge International Examinations ambridge International dvanced Subsidiary and dvanced Level PHYSIS 97/11 Paper 1 Multiple hoice May/June 18 dditional Materials: Multiple hoice nswer Sheet