Danho
ZIMSEC A Level · 9188/2 · N2003

Physics Paper 2 November 2003

Questions
39
Total marks
60
Syllabus code
9188/2

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Questions
39
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 101

[2 marks]terminal velocity; kinematics graphs
What is meant by an object's terminal velocity?
  1. AThe velocity at which an object's acceleration is momentarily greatest
  2. BThe constant velocity reached when the driving and opposing forces balance
  3. CThe velocity at the exact instant an object is first released from rest
  4. DThe maximum speed reached before any resultant force starts acting on it

Question 102

[1 marks]terminal velocity; kinematics graphs
State the condition (in terms of the forces acting) under which an object travels at terminal velocity.

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Question 103

[1 marks]terminal velocity; kinematics graphs
An object is projected vertically upward from the ground. Its velocity-time graph is a straight line from (0 s, 10 m/s) through (3 s, 0 m/s), continuing with the same slope to about (5 s, -6.7 m/s). Deduce from the graph the time at which the object reaches maximum height.

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Question 104

[2 marks]terminal velocity; kinematics graphs
For the same velocity-time graph (a straight line from (0 s, 10 m/s) to (3 s, 0 m/s)), the maximum height reached equals the area under the graph between t = 0 s and t = 3 s. Calculate this maximum height.

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Question 201

[1 marks]work; moment of a force
A boy holds a 1 kg brick stationary above the ground for 6 hours. His arm feels tired, but in the physics sense he does no work on the brick. State the reason.

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Question 202

[2 marks]work; moment of a force
What is meant by the moment of a force about a point?
  1. AThe product of the force and the perpendicular distance to its line of action
  2. BThe force multiplied by the total distance the object travels while it acts
  3. CThe rate at which a force changes an object's momentum about that point
  4. DThe energy transferred by a force as it turns an object through one full turn

Question 203

[2 marks]work; moment of a force
A spanner is used to undo a nut. An effort of 25 N is applied vertically downward at the end of the handle, and the distance from the nut centre O to the point of effort is 14.5 cm, with the handle at 30 degrees to the horizontal line through O. Calculate the moment about O of this force.

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Question 301

[1 marks]coherence; diffraction grating
For an observable interference pattern, two light sources must be coherent. State the property of coherent sources relating to frequency.

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Question 302

[1 marks]coherence; diffraction grating
State the property of coherent sources relating to phase.

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Question 303

[1 marks]coherence; diffraction grating
State the property of coherent sources relating to amplitude.

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Question 304

[1 marks]coherence; diffraction grating
Which of these is a reasonable estimate for the wavelength of blue light in vacuum?
  1. A650 nm
  2. B900 nm
  3. C200 nm
  4. D450 nm

Question 305

[3 marks]coherence; diffraction grating
Blue light of wavelength 450 nm is incident normally on a diffraction grating having 4 x 10^3 lines/cm. Using d sin(theta) = n lambda with n = 1, calculate the angular deviation theta of the first order line.

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Question 401

[1 marks]simple harmonic motion; springs
In simple harmonic motion, define the term period.

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Question 402

[1 marks]simple harmonic motion; springs
In simple harmonic motion, define the term displacement.

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Question 403

[1 marks]simple harmonic motion; springs
In simple harmonic motion, define the term phase difference.

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Question 404

[1 marks]simple harmonic motion; springs
The tension in a spring is given by T = kx, where k is the spring constant and x is the extension. State the SI units of k.

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Question 405

[2 marks]simple harmonic motion; springs
A spring of natural length 250 mm is hung vertically from a fixed point. A 0.20 kg mass hung from its lower end stretches it to 310 mm. Using g = 9.81 m s^-2, calculate the spring constant k.

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Question 406

[2 marks]simple harmonic motion; springs
A mass hanging from a spring is pulled down a small amount and released, oscillating with period 0.50 s. Calculate the angular frequency of the oscillation.

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Question 501

[3 marks]resistor networks; capacitor networks
In a circuit, a battery E of negligible internal resistance is connected in series with resistor A. The current then splits into two parallel branches, one through resistor B and one through resistor C, with A, B and C all of equal resistance; the branches rejoin and return to the battery. The battery supplies a total power of 12 W. Calculate the power dissipated in resistor C.

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Question 502

[2 marks]resistor networks; capacitor networks
A student has several 2 uF capacitors, each rated for a maximum working p.d. of 10 V, and a 20 V supply. State how two of these capacitors should be connected together so that the combination has a capacitance of 1 uF while keeping the p.d. across each individual capacitor within its 10 V rating.

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Question 503

[2 marks]resistor networks; capacitor networks
A student wants a total capacitance of 2 uF safely across a 20 V supply, using 2 uF capacitors each rated 10 V. Two of these capacitors connected in series give 1 uF, with only 10 V across each. How should two such series pairs be combined to give 2 uF overall?

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Question 601

[1 marks]ideal gas equation
State the ideal gas equation for one mole of gas.

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Question 602

[1 marks]ideal gas equation
In the ideal gas equation pV = RT for one mole of gas, what does R represent?
  1. AThe absolute temperature
  2. BThe number of moles present
  3. CThe molar gas constant
  4. DThe total internal energy

Question 603

[3 marks]ideal gas equation
Air is pumped into a bicycle tyre so that the number of moles n increases by 2%, the temperature T increases by 1%, and the internal volume V increases by 0.2%. Using pV = nRT, calculate the percentage increase in the pressure p of the air in the tyre.

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Question 701

[2 marks]latent heat
Define the term specific latent heat of fusion.

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Question 702

[2 marks]latent heat
The specific latent heat of fusion of ice is 3.34 x 10^5 J/kg and the specific latent heat of vaporisation of water is 2.26 x 10^6 J/kg. Why is the latent heat of vaporisation so much larger?
  1. AVaporisation needs far more energy to fully separate molecules into a gas than fusion needs to loosen a solid into a liquid
  2. BLiquid water molecules are inherently heavier than solid ice molecules, so vaporising them into steam needs extra energy
  3. CFusion occurs at a higher temperature than vaporisation, so fusion actually needs the larger energy input to break the solid's bonds
  4. DVaporisation is simply a much faster process than fusion, and any faster physical change generally needs more energy overall

Question 801

[1 marks]transducers; operational amplifiers
Define what is meant by a transducer.

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Question 802

[1 marks]transducers; operational amplifiers
Give one example of a transducer.

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Question 803

[1 marks]transducers; operational amplifiers
State one property of an ideal operational amplifier relating to its gain.

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Question 804

[1 marks]transducers; operational amplifiers
State a second property of an ideal operational amplifier, other than infinite gain.

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Question 805

[2 marks]transducers; operational amplifiers
In a voltage-follower (unity-gain buffer) op-amp circuit, how is the feedback connected?
  1. AFeedback is taken from the output stage's ground pin
  2. BOutput is connected directly to the inverting input
  3. COutput is connected directly to the non-inverting input
  4. DInput signal is applied to both inputs at once

Question 806

[1 marks]transducers; operational amplifiers
What is the main practical function of a voltage-follower circuit?
  1. ABuffers the signal, giving high input impedance
  2. BAmplifies the input signal by a large fixed gain
  3. CFilters out high-frequency noise from the input
  4. DInverts the phase of the input signal by 180 degrees

Question 901

[2 marks]fluid flow; dimensional analysis
Which statement correctly distinguishes laminar flow from turbulent flow?
  1. ALaminar and turbulent flow differ only in flow direction, not in streamline pattern
  2. BIn laminar flow, streamlines cross and mix chaotically; in turbulent flow, they stay parallel
  3. CLaminar flow only occurs in gases, while turbulent flow only occurs in liquids
  4. DIn laminar flow, streamlines do not cross; in turbulent flow, they cross, forming eddies

Question 902

[2 marks]fluid flow; dimensional analysis
Density rho has base units kg m^-3 and velocity v has base units m s^-1. What are the base units of rho v^2?

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Question 1001

[1 marks]mass defect; radioactive decay; conservation of momentum
What is meant by the mass defect of a nucleus?

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Question 1002

[1 marks]mass defect; radioactive decay; conservation of momentum
A stationary 222/86 Rn nucleus decays: 222Rn -> 218Po + 4He, with no gamma-ray emitted. The rest masses are 222Rn = 222.0176u, 218Po = 218.0090u, 4He = 4.0026u. Calculate the mass defect of this decay, in u.

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Question 1003

[1 marks]mass defect; radioactive decay; conservation of momentum
The decay 222Rn -> 218Po + 4He has a mass defect of 0.0060 u. Using E = (mass defect)c^2 with c = 3.00 x 10^8 m/s, calculate the total kinetic energy released, taking 1u = 1.67 x 10^-27 kg.

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Question 1004

[1 marks]mass defect; radioactive decay; conservation of momentum
A stationary radon-222 nucleus decays spontaneously into polonium-218 and an alpha particle. How does conservation of momentum apply to this decay?
  1. AMomentum conservation only applies to this particular decay if a gamma ray happens to be emitted as well, carrying away its own share of the momentum
  2. BMomentum is not conserved here at all, because the energy released from the nucleus converts directly into extra momentum for both product particles
  3. CSince the parent nucleus was stationary, total momentum before is zero, so the two products recoil in opposite directions with equal and opposite momenta
  4. DThe alpha particle alone carries away the momentum of the decay, since the much heavier polonium nucleus is assumed to stay completely at rest throughout

Question 1005

[2 marks]mass defect; radioactive decay; conservation of momentum
In the decay 222Rn -> 218Po + 4He, the total kinetic energy released is about 9.0 x 10^-13 J (the marking scheme's figure, using 1u = 1.67x10^-27 kg; the exam's own Data page value of 1u = 1.66x10^-27 kg gives a very close 8.96x10^-13 J instead). The rest masses are 218Po = 218.0090u and 4He = 4.0026u. Using conservation of momentum together with this kinetic energy, calculate the speed of the alpha particle.

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