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N16/4/PHYSI/HPM/ENG/TZ0/XX Physics Higher level Paper 1 Tuesday 8 November 2016 (morning) 1 hour Instructions to candidates • Do not open this examination paper until instructed to do so. • Answer all the questions. • For each question, choose the answer you consider to be the best and indicate your choice on the answer sheet provided. • A clean copy of the physics data booklet is required for this paper. • The maximum mark for this examination paper is [40 marks]. 17 pages 8816 – 6501 © International Baccalaureate Organization 2016 –2– 1. 2. N16/4/PHYSI/HPM/ENG/TZ0/XX A boy jumps from a wall 3 m high. What is an estimate of the change in momentum of the boy when he lands without rebounding? A. 5 ´ 100 kg m s–1 B. 5 ´ 101 kg m s–1 C. 5 ´ 102 kg m s–1 D. 5 ´ 103 kg m s–1 A car moves north at a constant speed of 3 m s–1 for 20 s and then east at a constant speed of 4 m s–1 for 20 s. What is the average speed of the car during this motion? A. 7.0 m s–1 B. 5.0 m s–1 C. 3.5 m s–1 D. 2.5 m s–1 N16/4/PHYSI/HPM/ENG/TZ0/XX –3– 3. A student draws a graph to show the variation with time t of the acceleration a of an object. a 0 0 t What can the student deduce from this graph only, and what quantity from the graph is used to make this deduction? Deduction 4. Quantity used A. change in velocity gradient of graph B. change in velocity area under line C. change in displacement gradient of graph D. change in displacement area under line A mass is suspended from the ceiling of a train carriage by a string. The string makes an angle q with the vertical when the train is accelerating along a straight horizontal track. q What is the acceleration of the train? A. g sin q B. g cos q C. g tan q D. g tanq Turn over N16/4/PHYSI/HPM/ENG/TZ0/XX –4– 5. An object, initially at rest, is accelerated by a constant force. Which graphs show the variation with time t of the kinetic energy and the variation with time t of the speed of the object? A. B. C. D. kinetic energy speed kinetic energy speed kinetic energy speed kinetic energy speed N16/4/PHYSI/HPM/ENG/TZ0/XX –5– 6. Two stationary objects of mass 1 kg and 2 kg are connected by a thread and suspended from a spring. spring 1 kg thread 2 kg The thread is cut. Immediately after the cut, what are the magnitudes of the accelerations of the objects in terms of the acceleration due to gravity g ? 7. 8. Acceleration of 1 kg object Acceleration of 2 kg object A. 3g 2g B. 2g 2g C. 3g 1g D. 2g 1g An object of mass 2 kg is thrown vertically downwards with an initial kinetic energy of 100 J. What is the distance fallen by the object at the instant when its kinetic energy has doubled? A. 2.5 m B. 5.0 m C. 10 m D. 14 m A student of weight 600 N climbs a vertical ladder 6.0 m tall in a time of 8.0 s. What is the power developed by the student against gravity? A. 22 W B. 45 W C. 220 W D. 450 W Turn over –6– 9. N16/4/PHYSI/HPM/ENG/TZ0/XX Energy is supplied at a constant rate to a fixed mass of a material. The material begins as a solid. The graph shows the variation of the temperature of the material with time. temperature time The specific heat capacities of the solid, liquid and gaseous forms of the material are cs cl and cg respectively. What can be deduced about the values of cs cl and cg? 10. A. cs > cg > cl B. cl > cs > cg C. cl > cg > cs D. cg > cs > cl The pressure of a fixed mass of an ideal gas in a container is decreased at constant temperature. For the molecules of the gas there will be a decrease in A. the mean square speed. B. the number striking the container walls every second. C. the force between them. D. their diameter. N16/4/PHYSI/HPM/ENG/TZ0/XX –7– 11. An ideal gas of N molecules is maintained at a constant pressure p. The graph shows how the volume V of the gas varies with absolute temperature T. V 0 0 T What is the gradient of the graph? 12. A. N p B. NR p C. NkB p D. N Rp A particle oscillates with simple harmonic motion (shm) of period T. Which graph shows the variation with time of the kinetic energy of the particle? A. 0 C. B. kinetic energy 0 0 T time D. kinetic energy T time kinetic energy T time kinetic energy 0 T time Turn over N16/4/PHYSI/HPM/ENG/TZ0/XX –8– 13. A light ray is incident on an air–diamond boundary. The refractive index of diamond is greater than 1. Which diagram shows the correct path of the light ray? A. B. air diamond C. D. air diamond 14. air diamond air diamond A point source of light of amplitude A0 gives rise to a particular light intensity when viewed at a distance from the source. When the amplitude is increased and the viewing distance is doubled, the light intensity is doubled. What is the new amplitude of the source? A. 2 A0 B. 2 2 A0 C. 4 A0 D. 8 A0 N16/4/PHYSI/HPM/ENG/TZ0/XX –9– 15. 16. Which diagram shows the shape of the wavefront as a result of the diffraction of plane waves by an object? A. B. C. D. A – 5 mC charge and a +10 mC charge are a fixed distance apart. +10 mC position I – 5 mC position II position III not to scale Where can the electric field be zero? 17. A. position I only B. position II only C. position III only D. positions I, II and III A 12 V battery has an internal resistance of 2.0 W. A load of variable resistance is connected across the battery and adjusted to have resistance equal to that of the internal resistance of the battery. Which statement is correct for this circuit? A. The current in the battery is 6 A. B. The potential difference across the load is 12 V. C. The power dissipated in the battery is 18 W. D. The resistance in the circuit is 1.0 W. Turn over – 10 – 18. N16/4/PHYSI/HPM/ENG/TZ0/XX A wire carrying a current I is at right angles to a uniform magnetic field of strength B. A magnetic force F is exerted on the wire. Which force acts when the same wire is placed at right angles to a uniform magnetic field of strength 2B when the current is 19. 20. 21. A. F 4 B. F 2 C. F D. 2F I 4 ? An object at the end of a wooden rod rotates in a vertical circle at a constant angular velocity. What is correct about the tension in the rod? A. It is greatest when the object is at the bottom of the circle. B. It is greatest when the object is halfway up the circle. C. It is greatest when the object is at the top of the circle. D. It is unchanged throughout the motion. Which of the following lists the particles emitted during radioactive decay in order of increasing ionizing power? A. g, b, a B. b, a, g C. a, g, b D. a, b, g When an alpha particle collides with a nucleus of nitrogen-14 ( 147 N), a nucleus X can be produced together with a proton. What is X? A. 18 8 X B. 17 8 X C. 18 9 X D. 17 9 X – 11 – 22. 23. The mass defect for deuterium is 4 ´ 10–30 kg. What is the binding energy of deuterium? A. 4 ´ 10–7 eV B. 8 ´ 10–2 eV C. 2 ´ 106 eV D. 2 ´ 1012 eV What are the principal energy changes in a photovoltaic cell and in a solar heating panel? Photovoltaic cell 24. 25. N16/4/PHYSI/HPM/ENG/TZ0/XX Solar heating panel A. solar to electrical solar to thermal B. solar to thermal solar to thermal C. solar to electrical electrical to thermal D. solar to thermal electrical to thermal The solar constant is the intensity of the Sun’s radiation at A. the surface of the Earth. B. the mean distance from the Sun of the Earth’s orbit around the Sun. C. the surface of the Sun. D. 10 km above the surface of the Earth. X and Y are two spherical black-body radiators that emit the same total power. The absolute temperature of X is half that of Y. What is A. 4 B. 8 C. 16 D. 32 radius of X ? radius of Y Turn over N16/4/PHYSI/HPM/ENG/TZ0/XX – 12 – 26. 27. A particle is oscillating with simple harmonic motion (shm) of amplitude x0 and maximum kinetic energy Ek. What is the potential energy of the system when the particle is a distance 0.20 x0 from its maximum displacement? A. 0.20 Ek B. 0.36 Ek C. 0.64 Ek D. 0.80 Ek Monochromatic light is incident on a double slit. Both slits have a finite width. The light then forms an interference pattern on a screen some distance away. Which graph shows the variation of intensity with distance from the centre of the pattern? A. intensity B. distance from centre of pattern C. intensity distance from centre of pattern 28. intensity distance from centre of pattern D. intensity distance from centre of pattern 7l Light of wavelength l is incident normally on a diffraction grating that has a slit separation of . 2 What is the greatest number of maxima that can be observed using this arrangement? A. 4 B. 6 C. 7 D. 9 N16/4/PHYSI/HPM/ENG/TZ0/XX – 13 – 29. 30. 31. A diffraction grating is used to observe light of wavelength 400 nm. The light illuminates 100 slits of the grating. What is the minimum wavelength difference that can be resolved when the second order of diffraction is viewed? A. 1 nm B. 2 nm C. 4 nm D. 8 nm What is the unit of Ge0, where G is the gravitational constant and e0 is the permittivity of free space? A. C kg–1 B. C2 kg–2 C. C kg D. C2 kg2 Two parallel metal plates are connected to a dc power supply. An electric field forms in the space between the plates as shown. What is the shape of the equipotentials surfaces that result from this arrangement? A. B. C. D. Turn over – 14 – 32. 33. N16/4/PHYSI/HPM/ENG/TZ0/XX A satellite of mass 1500 kg is in the Earth’s gravitational field. It moves from a point where the gravitational potential is – 30 MJ kg–1 to a point where the gravitational potential is – 20 MJ kg–1. What is the direction of movement of the satellite and the change in its gravitational potential energy? Direction of movement of satellite Change in gravitational potential energy / GJ A. away from Earth 15 B. away from Earth 75 C. towards Earth 15 D. towards Earth 75 Which of the following reduces the energy losses in a transformer? A. Using thinner wires for the windings. B. Using a solid core instead of a laminated core. C. Using a core made of steel instead of iron. D. Linking more flux from the primary to the secondary core. N16/4/PHYSI/HPM/ENG/TZ0/XX – 15 – 34. The secondary coil of an alternating current (ac) transformer is connected to two diodes as shown. Which graph shows the variation with time of the potential difference VXY between X and Y? A. B. VXY VXY time C. time D. VXY VXY time 35. time A parallel-plate capacitor is connected to a battery. What happens when a sheet of dielectric material is inserted between the plates without disconnecting the battery? A. The capacitance is unchanged. B. The charge stored decreases. C. The energy stored increases. D. The potential difference between the plates decreases. Turn over N16/4/PHYSI/HPM/ENG/TZ0/XX – 16 – 36. Three capacitors are arranged as shown. 1.0 F 2.0 F 1.0 F What is the total capacitance of the arrangement? 37. A. 1.0 F B. 2.5 F C. 3.0 F D. 4.0 F Pair production by a photon occurs in the presence of a nucleus. For this process, which of momentum and energy are conserved? Momentum Energy A. not conserved not conserved B. not conserved conserved C. conserved not conserved D. conserved conserved – 17 – 38. 39. 40. N16/4/PHYSI/HPM/ENG/TZ0/XX An electron of mass m has an uncertainty in its position r . What is the uncertainty in the speed of this electron? A. h 4πr B. hr 4πm C. hm 4πr D. h 4πmr Which of the following, observed during a radioactive-decay experiment, provide evidence for the existence of nuclear energy levels? I. The spectrum of alpha particle energies II. The spectrum of beta particle energies III. The spectrum of gamma ray energies A. I and II only B. I and III only C. II and III only D. I, II and III What is the charge on an electron antineutrino and during what process is an electron antineutrino produced? Charge on electron antineutrino Production of electron antineutrino A. negative during b+ emission B. negative during b- emission C. zero during b+ emission D. zero during b- emission
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1) Answer: C
The speed of boy on landing will be
𝑣 = √2𝑔ℎ
𝑣 = √2(9.81)(3)
𝑣 = 7.67 𝑚/𝑠
Assuming the boy to be having mass m = 60 Kg
Chane in momentum is
∆𝑃 = 𝑚𝑣 − 0
∆𝑃 = 60 (7.67)
∆𝑃 = 4.6 𝑋 102 𝐾𝑔𝑚/𝑠
The closest option is C

2) Answer: C
Distance covered in first 20 s = 3(20) = 60 m
Distance covered in next 20 s = 4(20) = 80 m
Total distance travelled = 60 +80 = 140 m
Average speed is given by
𝑣=

𝑇𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑟𝑎𝑣𝑒𝑙𝑙𝑒𝑑
𝑇𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛
𝑣=

140
40

𝑣 = 3.5 𝑚/𝑠

3) Answer: B
The area under a-t graph gives change in velocity.

4) Answer: C

a

T

Tcosθ

Tsinθ

ma

mg
If we work in the train carriage frame we are in a non-inertial frame of
reference (accelerated frame) so we need to apply a pseudo force ma in a direction opposite to
the acceleration.
Now, balancing the forces
𝑇𝑠𝑖𝑛𝜃 = 𝑚𝑎
𝑇𝑐𝑜𝑠𝜃 = 𝑚𝑔
Dividing the two equations we have

𝑇 𝑠𝑖𝑛𝜃 𝑚𝑎
=
𝑇 𝑐𝑜𝑠𝜃 𝑚𝑔

𝑡𝑎𝑛𝜃 =

𝑎
𝑔

𝑎 = 𝑔 𝑡𝑎𝑛𝜃

5) Answer: A
The force is constant, so the acceleration is also constant. Since the slope of the speedtime graph gives acceleration hence the slope must be constant.
Kinetic energy is square of velocity, so it will be a parabola hence correct answer is A.

6) Answer: D
Initially, the spring force has to balance the weight so spring force is

𝐹 = 3𝑔
When the string is cut the 2 Kg block falls freely so it’s acceleration is g. The block 1
Kg have spring force acting in an upward direction and mg acting downward
𝑚𝑎 = 𝐹 − 𝑚𝑔
1𝑎 = 3𝑔 − 1𝑔
𝑎 = 2𝑔

7) Answer: B
Initial kinetic energy = 100 J
Initial potential energy = mgh
E = 100 + mgh
Now when kinetic energy is doubled, then potential energy will be mgh’
𝐸 = 200 + 𝑚𝑔ℎ′
Total energy at both points is same
100 + 𝑚𝑔ℎ = 200 + 𝑚𝑔ℎ′
𝑚𝑔(ℎ − ℎ′ ) = 100
(ℎ − ℎ′ ) =
(ℎ − ℎ′ ) =

100
𝑚𝑔

100
2(10)

(ℎ − ℎ′ ) = 5 𝑚

8) Answer: D
Power is energy per unit time
𝑚𝑔ℎ
𝑡
600(6)
𝑃=
8
𝑃=

𝑃 = 450 𝑊

9) Answer: D
The heat energy is given by
∆𝑄 = �...


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