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ZIMSEC A Level · 9188/1 · N2003

Physics Paper 1 November 2003

Questions
40
Time allowed
60 min
Syllabus code
9188/1

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Questions
40
Pass mark
24
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Answer every question in the printed order, get marked at the end, then see the answers.

The questions

Question 1

units and measurement
The relationship between four physical quantities xx, pp, qq and tt is given by x=p+qtx = p + qt, where tt is the time in seconds. If qq has units of ms−1ms^{-1}, what are the units of pp?
  1. Ams−1ms^{-1}
  2. Bms−2ms^{-2}
  3. Cmsms
  4. Dmm

Question 2

errors and uncertainties
In an experiment, the external diameter d1d_1 and the internal diameter d2d_2 of a metal tube are found to be (64±2)(64 \pm 2)mm and (47±2)(47 \pm 2)mm respectively. What is the expected percentage error in (d1−d2)(d_1 - d_2) from these readings?
  1. A1%
  2. B6%
  3. C12%
  4. D24%

Question 3

kinematics
A ball is thrown vertically upwards. Which of the following graphs shows how the acceleration 'aa' varies with time 'tt'?
  1. AA
  2. BB
  3. CC
  4. DD

Question 4

momentum
Which of the following has the same units as momentum?
  1. Aforce
  2. Bpressure
  3. Cthe product of force and time
  4. Dproduct of force and velocity

Question 5

statics
An acrobat is stationary at the centre of a tight rope. The angle θ\theta between the tight rope and the horizontal is as shown below. If the acrobat has a weight W, what is the tension in the rope?
  1. AW2\frac{W}{2}
  2. BW2sin⁡θ\frac{W}{2\sin\theta}
  3. CW2cos⁡θ\frac{W}{2\cos\theta}
  4. DWsin⁡θ\frac{W}{\sin\theta}

Question 6

dynamics
A truck with only the driver in it, moving with a velocity uu, can be stopped by applying brakes in a distance ss. When the truck was loaded its total mass increased by 30%. The driver applied the same braking force to stop the truck while it was moving with the velocity uu. What was the new braking distance?
  1. A0.3s0.3s
  2. B0.7s0.7s
  3. C1.0s1.0s
  4. D1.3s1.3s

Question 7

energy
A body experiences free fall from rest. It has a velocity vv when it has lost the amount of gravitational potential energy EpE_p. What is the mass of the body?
  1. Av22Ep\sqrt{\frac{v^2}{2E_p}}
  2. Bv22Ep\frac{v^2}{2E_p}
  3. C2Epv2\sqrt{\frac{2E_p}{v^2}}
  4. D2Epv2\frac{2E_p}{v^2}

Question 8

circular motion
A body of mass mm moves at constant angular speed ω\omega in a horizontal circle of radius rr. What is the work done on the body in one revolution?
  1. Azero
  2. B2πmr2ω22\pi mr^2\omega^2
  3. Cmr2ω2mr^2\omega^2
  4. D12mr2ω2\frac{1}{2}mr^2\omega^2

Question 9

gravitation
A body is moved from point P on the Earth's surface to another point Q further away from the Earth's centre. Which statement about the gravitational potential at the two points is correct?
  1. AIt is positive at both points and greater at Q than at P.
  2. BIt is positive at both points and less at Q than at P.
  3. CIt is negative at both points and greater at Q than at P.
  4. DIt is negative at both points and less at Q than at P.

Question 10

simple harmonic motion
A body in simple harmonic motion makes nn complete oscillations per second. What is the angular frequency of this motion?
  1. Ann rad s−1^{-1}
  2. B1n\frac{1}{n} rad s−1^{-1}
  3. C2πn\frac{2\pi}{n} rad s−1^{-1}
  4. D2πn2\pi n rad s−1^{-1}

Question 11

waves
In which instance are the waves plane polarised?
  1. Ainfrared radiation from a hot electric iron
  2. Bcompression waves caused by an earthquake
  3. Celectromagnetic waves from a dipole aerial
  4. Dultrasonic waves from a dipole aerial

Question 12

interference
The diagram below shows two identical loudspeakers emitting sound of wavelength 0.28 m when connected to a signal generator. M is the midpoint of the two loudspeakers, separated by 0.5 m. A is on a line 6.0 m from the loudspeakers, in line with M, and B is further along the perpendicular line through A. A student moving along line AB hears a loud sound at A which gradually reduces until virtually nothing is heard at B. What is the distance between A and B?
  1. A0.25m
  2. B0.50m
  3. C1.68m
  4. D3.36m

Question 13

optics
A ray of light is incident on a glass-air boundary for which the critical angle is cc. Which diagram is correct?
  1. AA
  2. BB
  3. CC
  4. DD

Question 14

resistance
A conductor of length ℓ\ell and uniform cross-sectional area aa is made of material of resistivity ρ\rho. What is its resistance per unit length?
  1. Aρa\frac{\rho}{a}
  2. Baρ\frac{a}{\rho}
  3. Cρℓa\rho\frac{\ell}{a}
  4. Daρℓ\frac{a}{\rho\ell}

Question 15

electricity
A generator produces 100kW of power at a potential difference of 10kV. The power is transmitted through cables of total resistance 5Ω5\Omega. What is the power loss in the cables?
  1. A0.05W
  2. B50W
  3. C500W
  4. D2×1072 \times 10^7W

Question 16

resistor networks
The diagram shows a network of resistors each of resistance R (a square X-top-left to bottom-right-corner-diagonal-Y arrangement: R between X and the top-right corner, R down the left side from X to Y, R diagonally from the top-right corner to Y, R down the right side from the top-right corner to the bottom-right corner, and R from the bottom-right corner to Y). What is the effective resistance between the points X and Y?
  1. A2/7 R
  2. B1/5 R
  3. C5/8 R
  4. DR

Question 17

circuits
In the following circuit, E is a cell of e.m.f 12V and internal resistance 1Ω. Two 3Ω resistors are each connected in series with an ammeter A of negligible resistance and a switch S, and the two branches are connected in parallel across the cell. If the ammeter A is of negligible resistance, what will it read when switch S is closed?
  1. A2.4A
  2. B4.0A
  3. C4.8A
  4. D10.0A

Question 18

capacitors
The top plate of a parallel plate capacitor is at 10V and the bottom one is at -5V as shown in the diagram. If the distance between the plates is 5mm, what is the magnitude of the electric field strength between the plates?
  1. A7.5×10−27.5 \times 10^{-2} Vm−1^{-1}
  2. B3.0×1023.0 \times 10^{2} Vm−1^{-1}
  3. C1.0×1031.0 \times 10^{3} Vm−1^{-1}
  4. D3.0×1033.0 \times 10^{3} Vm−1^{-1}

Question 19

capacitors
Two capacitors C1C_1 and C2C_2 of magnitudes 10μF10\mu F and 20μF20\mu F respectively are connected in series across a 3kV dc supply. What are the charges on C1C_1 and C2C_2?
  1. AC1C_1=10mC, C2C_2=40mC
  2. BC1C_1=20mC, C2C_2=20mC
  3. CC1C_1=30mC, C2C_2=60mC
  4. DC1C_1=90mC, C2C_2=90mC

Question 20

magnetic fields
A vertical straight conductor X of length 0.5m is situated in a uniform horizontal magnetic field of strength 0.1T and is carrying a current of 4.0A. Through what angle must X be turned in a vertical plane so that the force on X is halved?
  1. A30°
  2. B45°
  3. C60°
  4. D90°

Question 21

electromagnetic induction
An aircraft of wingspan 40m flies horizontally at a speed of 300ms−1300ms^{-1} in an area where the vertical component of the Earth's magnetic field is 5.0×10−55.0 \times 10^{-5}T. What is the e.m.f generated between the aircraft's wingtips?
  1. A0.6V
  2. B0.3V
  3. C2.4×10−222.4 \times 10^{-22}V
  4. D0

Question 22

electromagnetic induction
A bar magnet is dropped vertically downwards through a long solenoid which is connected to an oscilloscope. Which oscilloscope trace shows how E, the e.m.f induced on the coil, varies with the time tt as the magnet moves downwards?
  1. AA
  2. BB
  3. CC
  4. DD

Question 23

alternating current
An alternating current of r.m.s value 2A flowing through a given resistor R dissipates heat at the same rate as a steady direct current I flowing through an identical resistor. What is the current I?
  1. A1A
  2. B2\sqrt{2}A
  3. C2A
  4. D222\sqrt{2}A

Question 24

transformers
In an ideal transformer, what is the most important function of the soft iron core?
  1. Ato increase the flux linkage between the primary and the secondary coils
  2. Bto dissipate the heat generated by the two coils
  3. Cto eliminate the back e.m.f. produced in the secondary coil
  4. Dto produce a uniform radial field in the two coils

Question 25

electronics
Which changes take place when the level of negative feedback in an amplifier in closed-loop mode is increased?
  1. Again and bandwidth are increased
  2. Bgain and bandwidth are reduced
  3. Cgain is increased but bandwidth is reduced
  4. Dgain is reduced but bandwidth is increased

Question 26

digital electronics
The diagram below shows a logic circuit. Inputs P and Q feed an AND gate (output A) and two NOT gates (B = NOT Q, C = NOT P). B and C feed a second AND gate (output D), and A, D feed an OR gate giving output O. Which of the following gates has the same logic function as this circuit?
  1. AOR
  2. BNOR
  3. CEX-OR
  4. DEX-NOR

Question 27

materials
A long wire carrying a load at the bottom is hung from a ceiling. How does the stress in the wire vary with distance from the top to bottom?
  1. AA
  2. BB
  3. CC
  4. DD

Question 28

materials
The following is a graph of extension versus force for a sample of arrester wire used for halting fighter planes landing on a ship. The graph was obtained when the wire was steadily loaded and then unloaded. Which area represents the energy recovered during unloading?
  1. AP
  2. BQ
  3. CR
  4. DQ + R

Question 29

thermal physics
The temperature of a hot gas was increased by 50°C from an initial temperature of 100°C. What is the temperature change in kelvin?
  1. A50
  2. B323
  3. C373
  4. D423

Question 30

kinetic theory
The density of argon at a pressure of 1.00×1051.00 \times 10^5 Pa and at a temperature of 300 K is 1.60kgm−31.60 kgm^{-3}. What is the root mean square speed of argon molecules at this temperature?
  1. A216ms−1216 ms^{-1}
  2. B250ms−1250 ms^{-1}
  3. C306ms−1306 ms^{-1}
  4. D433ms−1433 ms^{-1}

Question 31

kinetic theory
Five gas molecules have the speeds shown below: 1.0, 3.0, 5.0, 7.0, 9.0 (×103ms−1\times 10^3 ms^{-1}). What is their root mean square speed?
  1. A2.2×103ms−12.2 \times 10^3 ms^{-1}
  2. B2.5×103ms−12.5 \times 10^3 ms^{-1}
  3. C5.0×103ms−15.0 \times 10^3 ms^{-1}
  4. D5.7×103ms−15.7 \times 10^3 ms^{-1}

Question 32

kinetic theory
The average kinetic energy of the molecules of an ideal gas in a closed and rigid container is increased by a factor of 4. By what factor does the pressure of the gas increase?
  1. A2
  2. B4
  3. C8
  4. D16

Question 33

fluids
The diagram below shows an ideal fluid flowing under streamline conditions in a horizontal tube that narrows partway along its length. Which statement about the fluid in the tube is correct?
  1. AThe density of the fluid is greater at the narrower end than at the wider end.
  2. BEnergy is conserved because work done due to the pressure difference is equal to the kinetic energy gained.
  3. CEnergy is not conserved because the pressure in the fluid decreases towards the narrower end.
  4. DKinetic energy is greater at the wider end than at the narrower end.

Question 34

thermodynamics
When heat, ΔQ\Delta Q is transferred to a system, its internal energy increases by ΔU\Delta U and the system does external work ΔW\Delta W. Which of the following expresses the first law of thermodynamics as applied to a gas?
  1. AΔU=ΔQ+ΔW\Delta U = \Delta Q + \Delta W
  2. BΔU=ΔQ−ΔW\Delta U = \Delta Q - \Delta W
  3. CΔU=ΔW−ΔQ\Delta U = \Delta W - \Delta Q
  4. DΔU=−ΔW−ΔQ\Delta U = -\Delta W - \Delta Q

Question 35

fluids
The diagram shows an aerofoil in flight, with air flowing faster over the upper curved surface labelled X and along the lower surface labelled Y. Which statement is correct?
  1. AAir moves faster at X.
  2. BAir moves faster at Y.
  3. CAir moves at same speed at X and Y.
  4. DAir moves aerofoil downwards.

Question 36

electron dynamics
An electron is accelerated by a p.d. V. How much kinetic energy does it acquire?
  1. AeVeV
  2. BV2e\frac{V}{2e}
  3. CeV2\frac{eV}{2}
  4. DeV\frac{e}{V}

Question 37

photoelectric effect
Two beams of light P and Q of the same wavelength fall upon the same metal surface causing photoemission of electrons. The photoelectric current produced by P is four times that produced by Q. What is wave amplitude of beam Pwave amplitude of beam Q\frac{\text{wave amplitude of beam } P}{\text{wave amplitude of beam } Q}?
  1. A12\frac{1}{2}
  2. B2
  3. C4
  4. D16

Question 38

nuclear physics
Evidence for the existence and small size of the nucleus is provided by experiments in which α\alpha-particles are directed towards a gold film. Why are α\alpha-particles more preferred than β\beta-particles?
  1. Aα\alpha-particles have higher ionising power than β\beta-particles.
  2. Bβ\beta-particles will be repelled by the electrons of the target atoms.
  3. Cα\alpha-particles travel at higher speeds than β\beta-particles.
  4. Dα\alpha-particles are less penetrating than β\beta-particles.

Question 39

nuclear physics
A radioactive isotope 92238U^{238}_{92}U decays to 92234U^{234}_{92}U by emissions of particles. What particles are emitted?
  1. Atwo alpha and one beta
  2. Bone alpha and two betas
  3. Cone alpha and three betas
  4. Dtwo alpha and two betas

Question 40

nuclear physics
An alpha particle of kinetic energy 5.4 MeV is released from a radioactive material. If the activity of the material is 3.5×1033.5 \times 10^3 Bq, what is the rate of energy released by the source?
  1. A6.0×10−236.0 \times 10^{-23} Js−1^{-1}
  2. B4.3×10−124.3 \times 10^{-12} Js−1^{-1}
  3. C3.0×10−93.0 \times 10^{-9} Js−1^{-1}
  4. D4.3×10−94.3 \times 10^{-9} Js−1^{-1}

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