# Friday 20 January 2012 Morning

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2 2 Answer all the questions. Section A 1 Here is a list of quantities. energy force power speed velocity (a) Which two quantities can have the same units?... and... [1] (b) Which two quantities are vectors?... and... [1] (c) Use two of the quantities to complete the following sentence.... equals... divided by time. [1] 2 y y y y 0 0 A x 0 0 B x 0 0 C x 0 0 D x State which graph, A, B, C or D, best represents the relationship between the two quantities given in each case below. (a) y-axis: the acceleration of an object x-axis: the resultant force acting on that object (b) y-axis: the wavelength of a wave x-axis: the frequency of that wave (c) y-axis: the kinetic energy of moving objects at a given speed x-axis: the mass of each object (d) y-axis: the distance a free-falling object has fallen from rest x-axis: the time it has been falling... [1]... [1]... [1]... [1]

3 3 3 Light of a single wavelength passing through two narrow parallel slits forms a pattern of light and dark fringes on a distant screen. monochromatic light separation of fringes Fig. 3.1 Which of the following changes would increase the separation of the fringes? Put a tick ( ) in the box next to each correct change. decreasing the intensity of the light increasing the wavelength of the light moving the screen closer to the slits replacing the slits with two slits further apart moving the screen further away from the slits 4 A ball of mass 0.5 kg is thrown vertically upwards with a speed of 15 m s 1. (a) Calculate the gravitational potential energy it has gained when it has risen 8.0 m. g = 9.8 m s 2 gravitational potential energy gained =... J [1] (b) Find its speed when it has risen 8.0 m. Assume there is no air resistance. speed =... m s 1 [3] Turn over

4 5 Fig. 5.1 shows two forces acting on an object. No other forces act on the object N 25 N The object has a mass of 2.6 kg. Calculate the acceleration of the object. Fig. 5.1 acceleration =... m s 2 6 A sodium lamp emits yellow light at a wavelength of m. (a) Show that the energy of each photon of this light is about J. speed of light, c = m s 1 Planck constant, h = J s (b) A sodium lamp draws 100 W from the electricity supply. Estimate the number of photons of yellow light it emits every second. State the assumption you need to make. [3]

5 7 The graph shows the velocity of a stone being launched from a catapult. The stone loses contact with the catapult at the point marked X. 5 v / m s X t / s Use the graph to calculate the distance the stone moved while in contact with the catapult. Make your working clear on the graph and in this space. distance =... m [3] [Section A Total: 23] Turn over

6 6 Section B 8 This question is about standing waves on guitar strings. Fig. 8.1 shows a guitar whose strings are 0.65 m long m 0.65 m the lowest frequency standing wave on a guitar string (not to scale) Fig. 8.1 (a) Explain why the wavelength of the standing wave shown in Fig. 8.1 is 1.3 m. [1] (b) The lowest frequency standing wave on the thickest guitar string is at 82 Hz. Show that the speed of the wave travelling along the string is about 100 m s 1.

7 (c) (i) The speed v of waves along a string is given by the equation v = 7 T μ where T is the tension in the string, and μ is the mass of a metre length of the string. Use this equation to calculate the tension T in the thickest guitar string where μ = kg m 1. tension =... N (ii) All strings on the guitar have the same tension and length. Use the equation above to explain why the fundamental frequency of the thinnest string is higher than the fundamental frequency of the thickest string. (d) Explain clearly how waves travelling along a string can produce standing waves on the string. In your answer, you should use appropriate technical terms, spelled correctly. [1] [3] [Total: 9] Turn over

8 9 This question is about the performance of a small, low-powered car. 8 Fig. 9.1 (a) In a test, the car accelerates from 0 to 27 m s 1 (60 mph) in 10.9 s. (i) Show that the mean resultant force acting on the car during the acceleration is about 2 kn. mass of car and driver = 860 kg [3] (ii) In the acceleration test the driver was alone in the car. Explain the difference in the 0 to 60 mph test you would expect if the driver were accompanied by a passenger.

9 (b) The car now travels at a constant speed of 20 m s 1 along a straight, horizontal road. 9 (i) Explain why the force pushing the car forward must be equal in magnitude to the resistive force acting on the car. [1] (ii) In these conditions the useful mechanical output power from the car engine is 15 kw. Calculate the resistive force acting against the car. force =... N (iii) At a constant speed of 20 m s 1 on a straight, horizontal road, the car can travel for 18 km on 1 litre of fuel. The fuel releases 33 MJ litre 1 when burnt in the engine. Show that at this speed the energy released per second by the fuel is nearly 40 kw. (iv) Account for the difference between the values of power in (ii) and (iii). [1] [Total: 11] Turn over

10 10 10 This question is about electron diffraction. When a parallel beam of electrons is incident on a narrow slit, a diffraction pattern can be observed on a screen. X electron beam θ 0 X 0 X screen 0 = place with a low probability of detecting an electron X = place with a high probability of detecting an electron Fig (a) To observe a diffraction pattern on the screen, the slit needs to be very small indeed. The equation for single-slit diffraction is λ = b sinθ where λ is the wavelength, b the width of the narrow slit and θ the angle of the first minimum, shown above. Calculate the width b of the slit needed to give an angle θ of 1 for a wavelength of m. b =... m [1]

11 (b) The wavelength associated with the electrons depends on their energy. For low energy electrons of mass m and speed v, the wavelength is given by: 11 λ = h mv (i) Calculate the speed of electrons with wavelength λ = m. h = J s m = kg speed =... m s 1 (ii) Suggest and explain what will happen to the pattern seen in Fig when the energy of the electron beam is increased. In your answer, you should make the steps in your reasoning clear. (c) The pattern is seen on the screen even when the beam of electrons is so weak that only one electron at a time passes through the apparatus. Explain, in terms of the phasors for each possible path, why an electron reaching the slit has a very low probability of reaching the points marked 0 in Fig [3] (d) Electron diffraction is used to study the arrangement of atoms in the surface layers of solids. Explain why the diffraction of electrons is better than the diffraction of light of wavelength 600 nm for studying the arrangement of atoms of spacing about 0.1 nm. [Total: 10] Turn over

12 11 This question is about the vector nature of velocity and acceleration. At time t = 0, an object is moving in the x-direction at 5.0 m s 1 as shown in Fig Two seconds later, it is moving at 40 to that direction, but at the same speed. y 12 x 5.0 m s 1 t = 0 s 5.0 m s 1 40 t = 2.0 s Fig (a) (i) Show that the x-component of velocity at time t = 2.0 s is about 4 m s 1 and that the y-component of velocity at this time is about 3 m s 1. (ii) Show that the mean x-component of acceleration during the 2.0 s is about 0.6 m s 2. (b) The mean y-component of acceleration during the 2.0 s is m s 2. Choosing an appropriate scale, draw the two vector components of acceleration on the grid of Fig opposite and determine the magnitude and direction of the resultant acceleration. magnitude of acceleration =... m s 2 direction of acceleration =...

13 13 Fig [4] (c) The force which accelerated the object was at right angles to the direction of motion. Use the definition of work to explain why this force does no work on the object in this time. [Total: 10] [Section B Total: 40] Turn over

14 14 Section C 12 This question is about the article Dot plots. A group of 16 students carried out an experiment to calculate the speed of sound in air. The group found an isolated wall at one end of their school. They measured their distance from the wall. The teacher made a loud noise by banging together two hardwood blocks. Each student started a stopwatch when the blocks were banged together and stopped when the echo was heard. The dot plot in Fig shows a set of results for this experiment where each of the 16 students has made one measurement time / s Fig (a) (i) Calculate the mean and spread of the data values leaving out the result of 1.6 s. time =... ±... s (ii) Use the answer to (i) to decide whether the value of 1.6 s could be an outlier. [1] (iii) Use the answer to (i), together with the fact that the reflecting wall was 165 m away, to show that the value obtained for the speed of sound in air is less than the 340 m s 1 expected. [1]

15 15 (b) Describe and explain one possible source of systematic error or uncertainty in these measurements obtained using a stopwatch. (c) Suggest and explain one improvement the group of students might have made to the experiment to give a better set of measurements. [Total: 8] Turn over

16 16 13 This question is about the article Measuring g by freefall. A student carries out an experiment to measure g in the classroom using the equipment described in the article and shown in Fig break-to-start contacts steel ball distance s trap door break-to-stop contacts Fig She sets up the equipment and judges the uncertainty in the two measurements. The timing device measures to within 0.01 s and the distance s is measured to within 0.01 m. (a) The student records the following data for a range of distances, averaging the time t at each distance s over several drops. She intends to plot a graph of s against t 2. (i) Complete the table. s / m mean t / s t 2 / s (ii) Using your values from the table, complete the graph of s against t 2 opposite and draw a straight line of best fit.

17 s / m t 2 / s 2 [3] (b) (i) Explain why the equation s = ut at 2 would lead you to expect the graph to go through the origin. Turn over

18 (ii) 18 Calculate the gradient of the graph. Show your working clearly on the graph or in this space. gradient =... (iii) Use your answer to (ii) to obtain a value for the acceleration due to gravity, g. g =... unit... (c) (i) The graph does not pass through the origin. Suggest one way in which this may have come about, and what effect it would have on the recorded values. (ii) Explain whether this source of systematic error would affect the value of g obtained as in (b)(iii). [Total: 15]

19 19 BLANK PAGE Turn over for question 14 Turn over

20 14 This question is about the article Can we measure the size of atoms? 20 (a) (i) The measurement for the diameter of the oil droplet on the loop of wire is 0.5 ± 0.1 mm. Calculate the percentage uncertainty in this measurement. percentage uncertainty =... % (ii) A ruler is used to measure the patch on the water. The average value for its diameter is 100 ± 5 mm. State and explain whether this measurement, or the one in (a)(i), gives the greater uncertainty to the final result. (b) Show how the two equations Volume of oil drop V = 4 3 πr 3 where r is the radius of the oil droplet. Area of patch on water A = πr 2 where R is the radius of the patch. can be combined to form the equation t = 4r 3 3R 2 where t is the thickness of the patch of olive oil. [3]

21 (c) (i) 21 The diameter of the oil drop is given as 0.5 ± 0.1 mm. Explain why the value for the radius r can be quoted as 0.25 ± 0.05 mm. [1] (ii) Using r = 0.25 mm for the radius of the oil drop and R = 50 mm for the radius of the patch of oil on the surface of the water, show that the thickness t of the oil patch is about m. Hence calculate the diameter x of an atom. x =... m [3] (iii) Calculate the percentage uncertainty in the value for the diameter x of the atom caused by the uncertainty in the measurement of the radius r of the oil drop. Give your answer to an appropriate number of significant figures. percentage uncertainty =... % [3] [Total: 14] [Section C Total: 37] END OF QUESTION PAPER

22 22 ADDITIONAL PAGE If additional space is required, you should use the pages below. The question number(s) must be clearly shown.

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### B294A. MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Friday 15 January 2010 Morning WARNING

H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper Section A (Higher Tier) B29A * OCE / 119 1* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials Required:

### Monday 10 June 2013 Morning

Monday 10 June 2013 Morning A2 GCE MATHEMATICS (MEI) 4762/01 Mechanics 2 QUESTION PAPER * 4 7 1 5 7 9 0 6 1 3 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book

### Wednesday 8 November 2017 Afternoon

Oxford Cambridge and RSA H Wednesday 8 November 2017 Afternoon GCSE TWENTY FIRST CENTURY SCIENCE PHYSICS A /ADDITIONAL SCIENCE A A182/02 Modules P4 P5 P6 (Higher Tier) *2747218862* Candidates answer on

### Wednesday 30 May 2012 Afternoon

Wednesday 30 May 2012 Afternoon FSMQ ADVANCED LEVEL 6993 Additional Mathematics QUESTION PAPER *6916300612* Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 6993

### MATHEMATICS A A502/01 Unit B (Foundation Tier)

THIS IS A NEW SPECIFICATION F GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS A A502/01 Unit B (Foundation Tier) *A515440111* Candidates answer on the question paper. OCR supplied materials: None

### Friday 20 January 2012 Morning

THIS IS A NEW SPECIFICATION F Friday 20 January 2012 Morning GCSE TWENTY FIRST CENTURY SCIENCE PHYSICS A A181/01 Modules P1 P2 P3 (Foundation Tier) *A131490112* Candidates answer on the Question Paper.

### MATHEMATICS 4722 Core Mathematics 2

ADVANCED SUBSIDIARY GCE MATHEMATICS 4722 Core Mathematics 2 QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 4722 List of Formulae (MF1) Other Materials

### PHYSICS B (ADVANCING PHYSICS) 2863/01 Rise and Fall of the Clockwork Universe

THIS IS A LEGACY SPECIFICATION ADVANCED GCE PHYSICS B (ADVANCING PHYSICS) 2863/1 Rise and Fall of the Clockwork Universe * OCE / 1 5 124* Candidates answer on the Question Paper OCR Supplied Materials:

### B293A. MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Tuesday 12 January 2010 Morning WARNING

H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) B293A *OCE/14183* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials Required:

### Friday 14 June 2013 Morning

H Friday 14 June 2013 Morning GCSE MATHEMATICS A A503/02 Unit C (Higher Tier) *A517020613* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Scientific or

### PHYSICS B (ADVANCING PHYSICS) 2860 Physics in Action

THIS IS A LEGACY SPECIFICATION ADVANCED SUBSIDIARY GCE PHYSICS B (ADVANCING PHYSICS) 2860 Physics in Action *CUP/T68004* Candidates answer on the question paper OCR Supplied Materials: Data, Formulae and

### F794. GEOLOGY Environmental Geology ADVANCED GCE. Friday 10 June 2011 Afternoon

ADVANCED GCE GEOLOGY Environmental Geology F794 *F711210611* Candidates answer on the question paper. OCR supplied materials: None Other materials required: Electronic calculator Ruler (cm/mm) Friday 10

### F331. CHEMISTRY B (SALTERS) Chemistry for Life ADVANCED SUBSIDIARY GCE. Monday 23 May 2011 Afternoon. Duration: 1 hour 15 minutes

ADVANCED SUBSIDIARY GCE CHEMISTRY B (SALTERS) Chemistry for Life F331 *F318770611* Candidates answer on the question paper. OCR supplied materials: Data Sheet for Chemistry B (Salters) (inserted) Other

### Wednesday 8 June 2016 Afternoon

Oxford Cambridge and RSA F Wednesday 8 June 2016 Afternoon GCSE GEOGRAPHY B B563/01 Key Geographical Themes (Foundation Tier) *5818140845* Candidates answer on the Question Paper. OCR supplied materials:

### Tuesday 28 June 2016 Morning

Oxford Cambridge and RSA Tuesday 28 June 2016 Morning A2 GCE PHYSICS A G485/01 Fields, Particles and Frontiers of Physics *1321073468* Candidates answer on the Question Paper. OCR supplied materials: Data,

### * * MATHEMATICS (MEI) 4761 Mechanics 1 ADVANCED SUBSIDIARY GCE. Wednesday 21 January 2009 Afternoon. Duration: 1 hour 30 minutes.

ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4761 Mechanics 1 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other

### Tuesday 2 June 2015 Afternoon

Oxford Cambridge and RSA Tuesday 2 June 2015 Afternoon AS GCE CHEMISTRY A 322/01 Chains, Energy and Resources *4989278233* Candidates answer on the Question Paper. OCR supplied materials: Data Sheet for

### B294A. MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Friday 11 June 2010 Morning WARNING

H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) B294A * OCE / 1 0368* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials

### Surname. Number OXFORD CAMBRIDGE AND RSA EXAMINATIONS ADVANCED SUBSIDIARY GCE F321 CHEMISTRY A. Atoms, Bonds and Groups

Candidate Forename Centre Number Candidate Surname Candidate Number OXFORD CAMBRIDGE AND RSA EXAMINATIONS ADVANCED SUBSIDIARY GCE F321 CHEMISTRY A Atoms, Bonds and Groups THURSDAY 14 JANUARY 2010: Morning

### CHEMISTRY 2815/01 Trends and Patterns

THIS IS A LEGACY SPECIFICATION ADVANCED GCE CHEMISTRY 2815/01 Trends and Patterns *OCE/13482* Candidates answer on the Question Paper A calculator may be used for this paper OCR Supplied Materials: Data

### * * MATHEMATICS (MEI) 4757 Further Applications of Advanced Mathematics (FP3) ADVANCED GCE. Wednesday 9 June 2010 Afternoon PMT

ADVANCED GCE MATHEMATICS (MEI) 4757 Further Applications of Advanced Mathematics (FP3) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet MEI Examination Formulae and

### * * MATHEMATICS 4732 Probability & Statistics 1 ADVANCED SUBSIDIARY GCE. Wednesday 27 January 2010 Afternoon. Duration: 1 hour 30 minutes.

ADVANCED SUBSIDIARY GCE MATHEMATICS 4732 Probability & Statistics 1 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet List of Formulae (MF1) Other Materials Required:

### GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) B294B

H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 4 Section B (Higher Tier) B294B * OCE / 14195* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials

### Wednesday 8 June 2016 Morning

Oxford Cambridge and RSA Wednesday 8 June 2016 Morning AS GCE MATHEMATICS 4732/01 Probability & Statistics 1 QUESTION PAPER * 4 8 2 7 1 9 3 8 2 8 * Candidates answer on the Printed Answer Book. OCR supplied

### Monday 24 June 2013 Morning

THIS IS A NEW SPECIFICATION F Monday 24 June 2013 Morning GCSE TWENTY FIRST CENTURY SCIENCE PHYSICS A A183/01 Module P7 (Foundation Tier) *A137300613* Candidates answer on the Question Paper. A calculator

### Tuesday 6 November 2012 Morning

H Tuesday 6 November 2012 Morning GCSE MATHEMATICS A A501/02 Unit A (Higher Tier) *A516800312* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Scientific

### FOR EXAMINER S USE There are four marks for the quality of written communication in Section Max. Mark

ADVANCED SUBSIDIARY GCE 2861 PHYSICS B (ADVANCING PHYSICS) Understanding Processes THURSDAY 22 MAY 2008 Afternoon Time: 1 hour 30 minutes *CUP/T43053* Candidates answer on the question paper Additional

### Tuesday 15 January 2013 Afternoon

Tuesday 15 January 2013 Afternoon AS GCE GEOLOGY F791/01 Global Tectonics *F712950113* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Ruler (cm/mm) Protractor

### Thursday 26 May 2016 Morning

Oxford Cambridge and RSA H Thursday 26 May 2016 Morning GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) * 5 9 9 9 0 5 4 4 9 7 * Candidates answer on the Question Paper. OCR supplied materials: None Other

### * * MATHEMATICS (MEI) 4764 Mechanics 4 ADVANCED GCE. Thursday 11 June 2009 Morning. Duration: 1 hour 30 minutes. Turn over

ADVANCED GCE MATHEMATICS (MEI) 4764 Mechanics 4 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other Materials