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  • kcse form 2 mathematics questions

K.C.S.E Physics Q & A - MODEL 2011PP2QN19

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN19

​(a) When a radiation was released into a diffusion cloud chamber, short thick tracks were observed. State with a reason, the type of radiation that was detected. 
(b) The half-life of an element X is 3.83 days. A sample of this element is found to have an activity rate of 1.6 x 103 disintegrations per second at a particular time.
Determine its activity rate after 19.15 days. 
(c) State what is meant by an extrinsic semiconductor. 
(d) Figure 12, shows a depletion layer in an unbiased p-n junction.
Picture
​State how a battery can be used to make the depletion layer narrower.
(e) Figure 13, shows an incomplete circuit of a full wave rectifier
Picture
​(I) Draw in the figure two more diodes to complete the circuit. 
(ii) Show on the figure the points across which the output of the rectifier should obtained. 
answers
Picture
​(c) A semiconductor in which impurities have been added to change conductivity.
(d) By connecting it in forward biased mode (i.e. P to + and n to -)
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN18

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN18

​(a) State two differences between cathode rays and electromagnetic radiations. 
(b) Figure 10, shows the main features of a cathode ray oscilloscope (CRO)
Picture
​(i) Name the parts labelled M and N. 
M
N
(ii) Explain how electrons are produced in the tube. 
(iii) When using the CRO to display waveforms of voltages, state where the following should be connected:
(I) the voltage to be displayed on the screen; 
(II) the time base voltage. 
(iv) state why the tube is highly evacuated. 
(c) Figure 11, shows the waveform of a voltage displayed on the screen of a CRO.
The Y-gain calibration was 5V per cm.
Picture
​(i) Determine the peak-to-peak voltage of the Y-input. 
(ii) Sketch on the same figure the appearance of the waveform after the voltage of the input signal is halved and it’s frequency is doubled. 
answers
(a) -Cathode rays have charge but e.m  radiations don’t have charge;
-Cathode rays are particles and have a mass but e.m radiations are waves;
-Cathode rays travel at a speed depending on the accelerating voltage but e.m radiations
travel at the speed of light in vacuum;
- Different in the mode of production.
(b) (i) M - grid;
N - accelerating anode/anode/vacuum;
(ii) Cathode is heated by filament;
electrons are released from cathode;
by thermionic emission
(iii) (I) across Y-Y plates.
(Il) across X-X plates. (2 m
(iv) to reduce collisions, (hence ionization) with air molecules in the tube.
(c) (i) peak-to-peak voltage = 5 x 2 =10v
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN17

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN17

​(a) State what is meant by the term “electromagnetic induction”. 
(b) Figure 9, shows a simple electric generator
Picture
​(i) Name the parts labelled P and Q. 
P .
Q
(ii) Sketch on the axes provided, a graph to show how the magnitude of the potential difference across R, changes with the time t. 
Picture
​(iii) State two ways in which the potential difference produced by such a generator can be increased.
(c) In a transformer, the ratio of primary turns to the secondary turns is 1:10. A current of 500mA flows through a 200 ohms resistor in the secondary circuit.
Assuming that the transformer is 100% efficient, determine:
(i) the secondary voltage;
(ii) the primary voltage; 
(iii) the primary current.
answers
​(a) The production of induced e.m.f when the magnetic flux linking a circuit is changed;
(b) (i) P - brushes
Q - slip rings
Picture
​(iii) Increasing number of turns/coils;
Increasing speed of rotation;
Increasing strength of field;
Winding the coil on soft iron core.
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN16

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN16

​(a) State the meaning of the term “principal focus” as applied in lenses. 
(b) You are provided with the following apparatus to determine the focal length of a lens:
- a biconvex lens and lens holder.
- alit candle.
- a white screen.
- a metre rule
Picture
​(i) Draw a diagram to show how you would arrange the above apparatus to determine the focal length of the lens 
(ii) Describe the procedure you would follow. 
(iii) State two measurements that you would take. 
(iv) Explain how the measurements in (iii) would be used to determine the focal length. 
(c) An object is placed 30cm in front of a concave lens of focal length 20cm.
Determine the magnification of the image produced.
answers
​(a) The point at which rays close to and parallel to the principal axis converge or seem to diverge from after striking the lens;
Picture
​(ii) Candle is placed at a certain distance from the lens. The distance between the screen and the lens is adjusted until a sharp image is focused on screen.
     (iii) The distance of candle from lens (U) is measured;
     The distance of screen from lens (V) is also measured;
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN15

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN15

​(a) Figure 8, shows a graph of potential difference V (volts) against a current I (amperes) for a certain device.
Picture
​From the graph:
(i) state with a reason whether or not the device obeys ohms law. 
(ii) determine the resistance of the device at:
(1) 1 =l.5A 
(II) I =3.5A 
(iii) From the results obtained in (ii) state how the resistance of the device varies as the current increases. 
(iv) State the cause of this variation in resistance. 
(b) Three identical dry cells each of e.m.f. 1 .6V are connected in series to a resistor of 11.4 ohms. A current of 0.32A flows in the circuit. Determine:
(i) the total e.m.f. of the cells;
(ii) the internal resistance of each cell; 
answers
Picture
Picture
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State the meaning of the term “threshold frequency” as used in photoelectric emission.

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN14

State the meaning of the term “threshold frequency” as used in photoelectric emission.

Picture
answer
  • The minimum frequency of an incident radiation to cause emission of photo electrons.
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State the reason why electrical power is transmitted over long distances at very high voltages.

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN13

State the reason why electrical power is transmitted over long distances at very high voltages.

Picture
answer
  •  High voltage leads to low current hence low power (12R) losses;
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K.C.S.E Physics Q & A - MODEL 2011PP2QN12

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN12

​Table I shows radiations and their respective frequencies.
Picture
​Arrange the radiations in the order of increasing energy. 
answer
  •  Radiowaves -Microwaves -Yellow light- Gamma rays;
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K.C.S.E Physics Q & A - MODEL 2011PP2QN11

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN11

​A 4 ohms resistor is connected in series to a battery of e.m.f  6V and negligible internal resistance. Determine the power dissipated by the resistor.
Picture
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN10

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN10

​Figure 7, shows two rays of light incident normally on face PQ of a glass prism, whose critical angle is 42°.
Picture
​Complete the diagram to show the paths of the two rays as they pass through the prism.
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN09

20/7/2020

1 Comment

 

K.C.S.E Physics Q & A - MODEL 2011PP2QN09

​Figure 6, shows standing waves on a string. It is drawn to a scale of 1:5
Picture
​(a) Indicate on the diagram the wavelength of the standing wave. 
(b) Determine the wavelength of the wave. 
ANSWERS
Picture
1 Comment

K.C.S.E Physics Q & A - MODEL 2011PP2QN07&8

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN07&8

​Figure 5, shows a motor connected to a magnetic switch called a relay operated by an ordinary switch S1 Use the information in the figure to answer questions 7 and 8.
Picture
​Explain how the relay switches on the motor when S1 is closed. 
State with a reason the effect on the motor, the iron core is replaced with a steel core and switch S1 is put on and then off. 
ANSWERS
  • ​7. When S is closed, current flows in solenoid magnetizing the iron core; this attracts the iron armature closing the contacts; this causes current to flow in the motor circuit:
  • Motor keeps running continuously; 
  • 8. Steel would remain permanently magnetized causing current in mortor circuit to remain when S is open.
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K.C.S.E Physics Q & A - MODEL 2011PP2QN06

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN06

​One method of producing a weak magnet is to hold a steel rod in the North South direction and then hammer it continuously for some time. Using the domain theory of magnetism explain how this method works.
Picture
ANSWER
  • Hammering causes domains/domains to vibrate;
  • As they settle, some face North South due to earth’s magnetic field; 
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K.C.S.E Physics Q & A - MODEL 2011PP2QN04&5

20/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN04&5

Figure 4. shows the cross-section of a dry cell. Use the information on the figure to answer questions 4 and 5.
Picture
​Name the parts labelled A and B. 
State the use of the manganese (IV) oxide in the cell. 
answers
​4. A = Carbon rod(+); 
B = Manganese (VI) oxide 
5. Manganese (IV) oxide is a depolarizer/oxidizing agent;
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K.C.S.E Physics Q & A - MODEL 2011PP2QN03

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN03

​Figure 3, shows a voltmeter connected across two charged parallel plates.
Picture
​When a thin sheet of mica is inserted between the plates, the voltmeter reading is observed to reduce. Explain this observation.
answer
  • Mica raises capacitance; hence lower potential difference; since V = Q/C but Q is constant.
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K.C.S.E Physics Q & A - MODEL 2011PP2QN02

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN02

​Figure 2, shows two identical pithballs A and B suspended with insulated threads. They are
separated by an insulator X. A is positively charged while B is negatively charged.
The quantity of charge on A is three times the quantity of charge on B.
Picture
​Sketch on the space besides the figure, the final position of the pithballs after the insulation removed. 
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP2QN01

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP2QN01

​Figure 1, shows an object placed in front of a plane mirror.
Picture
​Sketch the image of the object as seen in the mirror.
answer
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN019

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN019

​(a) State the condition necessary for a body to float in a fluid. 
(b) A ship made of steel is observed to float on water yet the density of steel is approximately eight times that of water. Explain this observation. 
(c) Figure 17 shows three stages of an experiment to determine relative density of cork which normally floats on water. To make it sink, a sinker is hung below the cork.
Picture
​In (1) a spring balance is used to measure the weight W of the cork in air.
In (II) the spring balance is used to measure the apparent weight W1, when only the sinker is submerged in water.
In (Ill) the spring balance is used to measure the apparent weight W2 when both the cork and the sinker are submerged.
The following observations were made.
W = 0.08N
W = 0.60N
W2 = 0.28N
Use this information to determine the:
(i) Upthrust on cork. 
(ii) relative density of cork. 
(d) Figure 18 shows parts of a simple submarine, a ship that can travel both on water and under water.
To do this water is pumped in or out of the ballast tanks.
Picture
​Explain how the tanks are used to change the depth of the submarine.
answers
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN18

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN18

(a) Figure 15 shows a metal bolt which is threaded.​
Picture
Explain how a metre rule can be used to measure the pitch (distance between adjacent peaks) of the threading. 
(b) Figure 16 shows a screw jack whose screw has a pitch of 1mm, and has a handle of 25 cm long.
Picture
Determine the velocity ratio of the jack. 
(c) A bullet of mass 60g travelling at 800m/s hits a tree and penetrates a depth of 15 cm before coming to rest.
(i) Explain how the energy of the bullet changes as it penetrates the tree. 
(ii) determine the average retarding force on the bullet.
answers
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN17

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN17

​(a) When the temperature of water reaches the boiling point, bubbles rise to the surface.
(î) State what is contained in the bubbles. 
(ii) State the reason why bubbles rise to the surface only at the boiling point.
(b) Figure 14 shows a graph of vapour pressure against the temperature of water vapour, in a laboratory where a mercury barometer indicates a height of 61.8 cm.
Picture

(b) (i) Determine the atmospheric pressure in the laboratory in Nm-2.
(Take g = 10m/s2 and density of mercury = 13600 kg/m3).
(ii) Use the graph to determine the boiling point of water in the laboratory.
(c) In an experiment to determine the specific heat capacity of a metal, a 100g of the metal was transferred from boiling water to a lagged copper calorimeter containing cold water. The water was stirred and a final steady temperature was realized. The following data was recorded.
Initial temperature of cold water and calorimeter = 20°C.
Temperature of boiling water = 99°C.
Final temperature of water, calorimeter and the metal = 27.7°C.
Mass of cold water and calorimeter = 130g.
Mass of calorimeter = 50g.
(Take specific heat capacity of water as 4200Jkg-1K-1)
(Specific heat capacity of copper as 400Jkg-1K-1).
Use the data to determine:
(i) the heat gained by the water and the calorimeter;
(ii) the specific heat capacity of the metal.
(d) State one possible source of error in the value of the specific heat capacity obtained in the experiment.

answers
Picture
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN16

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN16

​Figure 11 shows a stone attached to the end of a string moving in a horizontal circle with a uniform speed of 2m/s. When the stone reaches point X on the circle, the string breaks.
Picture
​(i) indicate on the diagram with an arrow, the direction of the motion of the stone when the string breaks. 
(ii) State the magnitude of the velocity after the string breaks. 
(iii) Give a reason for your answers in (i) and (ii). 
(b) Figure 12 shows a lorry towing a trailer using a rope.
Picture
​The lorry exerts a force N on the trailer and the trailer exerts an equal but opposite force M on the lorry. The frictional force between the trailer and the road is F.
Explain how the forces N, M and F enable the trailer to move. 
(c) Figure 13 shows a frictionless trolley of mass 2kg moving with uniform velocity towards a wall. At the front of the trolley is a spring whose spring constant is 25N/m. The trolley comes to rest momentarily after compressing the spring by 3cm and then rebounds from the wall.
Picture
​(I) Determine
(I) the force exerted on the wall by the spring. 
(II) the maximum acceleration of the trolley as it rebounds from the wall. 
(ii) State the reason why the trolley acquires a constant velocity after it rebounds. 
ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN15

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN15

​Figure 10 shows a simple pendulum of length 80cm. The pendulum bob whose mass is 50g oscillates between points A and B, through its rest position C. A and B are both 10cm higher than C
Picture
(a) (i) Indicate with an arrow, on the path ACB, the direction of the greatest velocity of the bob as it moves from A to B. 
(ii) State the form of energy possessed by the pendulum bob at point A. 
(b) Determine:
(i) the velocity of the bob at point C, 
(ii) the tension in the string as the bob passes point C.(take acceleration due to gravity g = 10 m/s2)
(c) After some time, the pendulum comes to rest at point C. State what happens to the energy it initially possessed.
ANSWERS
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN14

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN14

​Figure 9 shows a syringe full of water. It has two identical holes A and B drilled along it’s cylinder. The cylinder nozzle is closed.
Picture
​State with a reason how the speeds of the jets of water from A and B compare when the piston is pushed into the cylinder.
ANSWER
  • Identical jets;
  • Pressure is transmitted equally throughout the liquid.
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K.C.S.E Physics Q & A - MODEL 2011PP1QN13

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN13

​A particle starts from rest and accelerates uniformly in a straight line. After 3 seconds it is 9m from the starting point. Determine the acceleration of the particle.
Picture
ANSWER
Picture
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K.C.S.E Physics Q & A - MODEL 2011PP1QN11&12

19/7/2020

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K.C.S.E Physics Q & A - MODEL 2011PP1QN11&12

​Figure 8 shows a uniform wooden block of mass 2kg and length 25cm lying on a bench. It hangs over the edge of the bench by 10cm. Use the figure to answer questions l1 and 12
Picture
​Indicate on the figure two forces acting on the wooden block. 
Determine the minimum force that can be applied on the wooden block to make it turn about the edge of the bench
ANSWER
Picture
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    Refraction Of Light
    Section I
    Section II
    SIMPLE CELL CIRCUITS
    Sinking And Floating
    SOUND
    TENSION FORCES
    Thermal Expansion
    THIN LENSES
    Turning Effect Of Force
    TURNING EFFECT OF MOMENTS
    Uniform Circular Motion
    Velocity Ratio
    Waves
    WORK
    WORK AND MACHINES
    Work-Energy-Power And Mechanics
    X RAYS
    X-RAYS

    Topics

    FORM I - PHYSICS SYLLABUS

    1. Introduction to Physics (4 Lessons)
    2. Measurements 1 (12 Lessons)
    3. Force (16 Lessons)
    4. Pressure (24 Lessons)
    5. Particulate Nature of Matter (12 Lessons)
    6. Thermal Expansion (12 Lessons)
    7. Heat Transfer
    8. Rectilinear Propagation of Light and Reflection at Plane Surface (16 Lessons)
    9. Electrostatics (12 Lessons)
    10. Cells and Simple Circuits (12 Lessons)

    FORM II - PHYSICS SYLLABUS

    1. Magnetism (12 Lessons)
    2. Measurements II (16 Lessons)
    3. Turning Effect of Force (10 Lessons)
    4. Equilibrium Centre of Gravity (12 Lessons)
    5. Reflection at Curved Surfaces (16 Lessons)
    6. Magnetic Effect of Electric Current (18 Lessons)
    7. Hooke's Law (8 Lessons)
    8. Waves (14 Lessons)
    9. Sound (12 Lessons)
    10. Fluid Flow  (14 Lessons)
    TOPICS

    FORM III - PHYSICS SYLLABUS

    1. Linear Motion (20 Lessons)
    2. Refraction of Light (20 Lessons)
    3. Laws of Motion (15 Lessons)
    4. Energy, Power and Machines (20 Lessons)
    5. Current Electricity (20 Lessons)
    6. Waves II(10 Lessons)
    7. Electrostatics II (15 Lessons)
    8. Heating Effect of Electric Current (10 Lessons)
    9. Quantity of Heat (20 Lessons)
    10. Gas Laws (15 Lessons)

    FORM IV - PHYSICS SYLLABUS

    1. Thin Lenses (20 Lessons)
    2. Uniform Circular Motion (10 Lessons)
    3. Floating and Sinking (15 Lessons)
    4. Electromagnetic Spectrum (15 Lessons)
    5. Electromagnetic Induction (20 Lessons)
    6. Mains Electricity (10 Lessons)
    7. Cathode Rays and Cathode Ray Tube (10 Lessons)
    8. X-rays (8 Lessons)
    9. Photoelectric Effect (15 Lessons)
    10. Radioactivity  (15 Lessons)
    11. Electronics (10 Lessons)
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