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CBSE Class 10 Science (086) sample paper 2026–27, with marking scheme

A full practice paper in the 2026–27 board pattern, 80 marks for 3 hours. 39 questions in three sections, Biology, Chemistry and Physics, each with MCQs, assertion–reason, short and long answers and a case study. Paper AW-10S-BP-70086; it follows the board pattern but is not an official CBSE paper.

Open the printable paperMarking scheme

General instructions

  1. This paper has 39 questions in three sections: Section A is Biology, Section B is Chemistry and Section C is Physics.
  2. All questions are compulsory. Some questions have an internal choice (marked OR): answer only one of them.
  3. Each section has multiple-choice and assertion–reason questions of 1 mark, short answers of 2 and 3 marks, a case-based question of 4 marks (sub-parts of 1, 1 and 2 marks) and a long answer of 5 marks.
  4. Write each answer to fit its marks: about 30 to 50 words for 2 marks, 50 to 80 words for 3 marks and 80 to 120 words for 5 marks.
  5. Draw neat, labelled diagrams wherever asked.

The paper

Section A: Biology (30 marks)

  1. Q1. 1 mark

    A student counts 12 pulse beats in 10 seconds. The heart rate is:

    1. 82 beats per minute
    2. 72 beats per minute
    3. 12 beats per minute
    4. 120 beats per minute
  2. Q2. 1 mark

    Which of these has the job to carry water and minerals from the roots to the leaves?

    1. The anal sphincter
    2. Bile
    3. The xylem
    4. Haemoglobin
  3. Q3. 1 mark

    A nerve impulse travels 1.2 m along a neuron at 25 m/s. The time taken is:

    1. 30 ms
    2. 480 ms
    3. 48 ms
    4. 4.8 ms
  4. Q4. 1 mark

    In the human body, which of these carries the egg from the ovary; fertilisation takes place here?

    1. The vagina
    2. The ovaries
    3. The oviduct (fallopian tube)
    4. The scrotum
  5. Q5. 1 mark

    Potato usually reproduces asexually by:

    1. binary fission
    2. fragmentation
    3. vegetative propagation
    4. spore formation
  6. Q6. 1 mark

    A pure-breeding plant with axial flowers is crossed with a pure-breeding plant with terminal flowers, and the F₁ plants are self-pollinated. Out of 232 F₂ plants, about how many have terminal flowers?

    1. 116
    2. 232
    3. 174
    4. 58
  7. Q7. 1 mark

    The flow of energy in an ecosystem is:

    1. circular
    2. in one direction only (unidirectional)
    3. random
    4. in both directions
  8. Q8. 1 mark

    Assertion (A): If the kidneys filter 170 litres of fluid in a day and 2 litres leave as urine, about 98.82% of the filtrate is reabsorbed. Reason (R): Most of the filtrate, including water, glucose and salts, is reabsorbed in the kidney tubules.

    1. Both A and R are true, and R is the correct explanation of A.
    2. Both A and R are true, but R is not the correct explanation of A.
    3. A is true, but R is false.
    4. A is false, but R is true.
  9. Q9. 1 mark

    Assertion (A): In the food chain grass → deer → lion, if the producers hold 10,000 J, the lion gets about 100 J. Reason (R): Decomposers break down the dead remains of plants and animals.

    1. Both A and R are true, and R is the correct explanation of A.
    2. Both A and R are true, but R is not the correct explanation of A.
    3. A is true, but R is false.
    4. A is false, but R is true.
  10. Q10. 2 marks

    A strip of black paper is fixed across a leaf of a destarched hibiscus plant, which is then kept in sunlight for 5 hours. The leaf is tested with iodine. (a) What will the iodine test show? (b) What does this show about photosynthesis?

  11. Q11. 2 marks

    Distinguish between abscisic acid and auxin on the basis of (i) the effect on growth and (ii) an effect that can be seen.

    OR

    Distinguish between transpiration and translocation on the basis of (i) what moves and (ii) where it happens.

  12. Q12. 2 marks

    Distinguish between regeneration and fragmentation on the basis of (i) the cells involved and (ii) an example.

  13. Q13. 3 marks

    A red blood cell travels from the left atrium to the right atrium by the shortest route. (a) Name, in order, the chambers of the heart, blood vessels and organs it passes through. (b) Which of the chambers and vessels on this route (including where it starts and ends) carry oxygenated blood, and which carry deoxygenated blood? (c) Why is it useful that the right and left sides of the heart are kept separate?

  14. Q14. 3 marks

    In the food chain plants → caterpillar → lizard → snake → hawk: The producers (the plants) hold 1,000 kJ of energy. (a) Using the 10 per cent law, find the energy available to each consumer in the chain. (b) What percentage of the energy held by the plants reaches the hawk? (c) Why is the flow of energy in a food chain said to be unidirectional?

    OR

    Answer these questions about the ozone layer. (a) Name one harmful effect on human beings of more ultraviolet radiation reaching the Earth. (b) When did the amount of ozone in the atmosphere begin to drop sharply? (c) What step did countries take in 1987 to protect the ozone layer?

  15. Q15. 4 marks

    A pea-plant experiment

    For a school project, Rahul grows two pure-breeding lines of pea plants: plants with round seeds and plants with wrinkled seeds. Rahul dusts pollen from the plants with round seeds onto the stigmas of the plants with wrinkled seeds and raises 43 F₁ plants from the seeds. The F₁ plants are left to self-pollinate, and Rahul raises 532 F₂ offspring from them. In pea plants, R = round, r = wrinkled.

    1. What are the genotype and the phenotype of the F₁ plants?

      1 mark
    2. About how many of the 532 F₂ offspring are expected to be wrinkled?

      1 mark
    3. Give the genotypes of the F₂ offspring with their ratio, and the expected number of each.

      2 marks

      OR

      How many of the round F₂ offspring are expected to be pure-breeding (RR)? Why can Rahul not pick them out just by looking at them?

  16. Q16. 5 marks

    (a) Name the method of asexual reproduction in each of these organisms and describe how it takes place: (i) Spirogyra, (ii) yeast, (iii) Leishmania. (b) Why do the offspring of asexual reproduction look almost exactly like the parent, and why is a little variation still seen?

    OR

    The body cells of a frog have 26 chromosomes. (a) How many chromosomes are there in (i) each of its gametes (a sperm and an egg) and (ii) the zygote formed at fertilisation? (b) Gametes are made by a special division that halves the chromosome number. If they were made by ordinary division instead, how many chromosomes would a body cell have after 4 generations? (c) Why is the copying of DNA essential in reproduction, and why are the copies not always exactly alike? (d) Which kind of reproduction, sexual or asexual, produces more variation, and why?

Section B: Chemistry (25 marks)

  1. Q17. 1 mark

    The reaction Zn + H₂SO₄ → ZnSO₄ + H₂ is an example of:

    1. a combination reaction
    2. a double displacement reaction
    3. a displacement reaction
    4. a decomposition reaction
  2. Q18. 1 mark

    Solutions of barium chloride (BaCl₂) and dilute sulphuric acid (H₂SO₄) are mixed. The precipitate formed is:

    1. H₂SO₄
    2. NaCl
    3. BaCl₂
    4. BaSO₄
  3. Q19. 1 mark

    What colour is red litmus in sodium hydroxide solution?

    1. pink
    2. green
    3. red
    4. blue
  4. Q20. 1 mark

    Solutions P, Q, R and S have pH values of 1, 2, 10, 12 respectively. Which is the most acidic?

    1. S
    2. Q
    3. P
    4. R
  5. Q21. 1 mark

    The oxide Fe₂O₃ is:

    1. basic
    2. amphoteric
    3. neutral
    4. acidic
  6. Q22. 1 mark

    Which of these will decolourise bromine water?

    1. C₂H₄
    2. C₂H₅COOH
    3. C₃H₇OH
    4. C₄H₉Cl
  7. Q23. 1 mark

    Soaps do not work well in hard water because they:

    1. become acidic
    2. form an insoluble scum with calcium and magnesium ions
    3. dissolve too quickly
    4. evaporate
  8. Q24. 1 mark

    Assertion (A): A solution with a pH of 10 is basic. Reason (R): A pH below 7 means a solution is acidic, and a pH above 7 means it is basic.

    1. Both A and R are true, and R is the correct explanation of A.
    2. Both A and R are true, but R is not the correct explanation of A.
    3. A is true, but R is false.
    4. A is false, but R is true.
  9. Q25. 2 marks

    Rohan notices a reddish-brown, flaky coating on the chain of a bicycle at home. (a) Name this process and the substance formed, and state the two conditions needed for it. (b) Suggest a way to prevent it for the chain of a bicycle, and explain how the method works.

  10. Q26. 3 marks

    Dev adds dilute nitric acid to magnesium carbonate powder in a test tube and passes the gas given off through lime water. (a) Write the balanced chemical equation for the reaction in the test tube and name the salt formed. (b) Name the gas, state what happens to the lime water, and write the equation for this change. (c) Write a general word equation for the reaction of an acid with a metal carbonate or hydrogencarbonate.

    OR

    Iron(III) chloride (FeCl₃) is to be made by a neutralisation reaction. (a) Name the acid and the base it is formed from, and say whether each is strong or weak. (b) Write the balanced chemical equation for its formation. (c) Will a solution of iron(III) chloride in water have a pH less than 7, equal to 7 or more than 7? Give a reason.

  11. Q27. 3 marks

    A zinc strip is placed in copper sulphate solution (CuSO₄) and left for some time. (a) Will a reaction take place? Give a reason. (b) Write the balanced chemical equation for the reaction. (c) Name a metal that could not displace copper from this solution, and give a reason.

  12. Q28. 4 marks

    A burning feeling after dinner

    After a heavy, spicy dinner at a wedding, Vikram complains of a burning feeling in the chest and pain in the stomach. The doctor explains that the stomach makes a dilute acid, with a pH of about 3, which helps to digest food, and that too much of it causes indigestion and pain. The doctor suggests a spoon of baking soda in water (NaHCO₃), a mild base that is called an antacid.

    1. Name the acid made by the stomach.

      1 mark
    2. Why is a mild base, and not a strong base such as sodium hydroxide, given as an antacid?

      1 mark
    3. Write the balanced chemical equation for the reaction of the antacid with the stomach acid, and name this type of reaction.

      2 marks

      OR

      Before the antacid, the stomach juice had a pH of about 3. Will the pH rise or fall after the antacid acts? Explain in terms of hydrogen ions.

  13. Q29. 5 marks

    Two hydrocarbons are P (C₃H₈) and Q (C₃H₆). (a) Which of them is saturated and which is unsaturated? Give a reason. (b) Q reacts with hydrogen in the presence of a nickel catalyst. Write the balanced equation and give one industrial use of this kind of reaction. (c) P reacts with chlorine in sunlight. Write the balanced equation for the first step and name the type of reaction. (d) Write the balanced equation for the complete combustion of P. (e) How could you tell P and Q apart using bromine water?

    OR

    Butanoic acid (C₃H₇COOH) is warmed with ethanol (C₂H₅OH) and a few drops of concentrated sulphuric acid. (a) Write the balanced chemical equation and name the organic product. (b) What is the role of the concentrated sulphuric acid, and how could you tell that the product has formed? (c) The product is heated with sodium hydroxide solution. Write the balanced equation for this reaction. (d) Write the balanced equation for the reaction of butanoic acid with sodium hydrogencarbonate. (e) Name the gas given off in (d) and give a test for it.

Section C: Physics (25 marks)

  1. Q30. 1 mark

    The radius of curvature of a concave mirror is 12 cm. Its focal length is:

    1. −6 cm
    2. −12 cm
    3. −7 cm
    4. 6 cm
  2. Q31. 1 mark

    A charge of 225 C flows through a wire in 50 s. The current is:

    1. 11,250 A
    2. 5.5 A
    3. 4.5 A
    4. 0.22 A
  3. Q32. 1 mark

    Assertion (A): A current flowing towards the north in a magnetic field pointing east feels a force vertically downwards. Reason (R): Magnetic field lines are closed curves.

    1. Both A and R are true, and R is the correct explanation of A.
    2. Both A and R are true, but R is not the correct explanation of A.
    3. A is true, but R is false.
    4. A is false, but R is true.
  4. Q33. 2 marks

    Meera passes white light through a glass prism and looks at the indigo and red parts of the spectrum on a screen. Which of the two is bent more by the prism? Give a reason.

  5. Q34. 2 marks

    Resistors of 19 Ω and 20 Ω are connected in series to a 78 V battery. Find the current in the circuit and the potential difference across the 19 Ω resistor.

    OR

    A solenoid of 250 turns has ends L and M. Seen from end L, the current flows clockwise. (i) Which end behaves as a north pole? (ii) The current is now reversed. Does the north pole of a compass placed near end M point towards or away from end M?

  6. Q35. 3 marks

    Three resistors of 12 Ω, 16 Ω and 48 Ω are connected in parallel across a battery of 144 V. Find (i) the equivalent resistance, (ii) the current through each resistor, and (iii) the total current drawn from the supply.

  7. Q36. 3 marks

    A solenoid of 750 turns has ends A and B. When it is connected to a battery, the current, seen from end B, flows anticlockwise round the coil. (i) Which end of the solenoid behaves as a north pole? (ii) The north pole of a bar magnet is brought near end A. Is it attracted or repelled? (iii) Describe the magnetic field inside the solenoid, and give one way to make it stronger.

  8. Q37. 3 marks

    Three resistors of 18 Ω, 27 Ω and 54 Ω are connected in parallel across a DC supply of 216 V. Find (i) the equivalent resistance, (ii) the current through each resistor, and (iii) the total current drawn from the supply.

  9. Q38. 4 marks

    Colours in the sky

    During a weekend outing, Rohan watches the sun set from a beach. The sky overhead is blue, but the sun near the horizon looks reddish. On the way back, Rohan notices that the warning lamps at a road repair site are red. At home, Rohan passes a narrow beam of white light through a glass prism and sees a band of colours on a white wall.

    1. Of these colours, which is scattered the most by very fine particles in the air?

      1. yellow
      2. blue
      3. violet
      4. indigo
      1 mark
    2. Why are signal and warning lights made red?

      1 mark
    3. Why does the clear sky look blue from the ground? How would it look to an astronaut far above the atmosphere?

      2 marks

      OR

      Why does the sun look reddish when it is near the horizon?

  10. Q39. 5 marks

    Light travels at 2.4 × 10⁸ m/s in a gemstone (medium A) and at 1.5 × 10⁸ m/s in a crystal (medium B). The speed of light in vacuum is 3 × 10⁸ m/s. (a) Find the absolute refractive index of A and of B. (b) Find the refractive index of B with respect to A. (c) A ray of light passes obliquely from A into B. Does it bend towards or away from the normal? Give a reason. (d) A third medium C has a refractive index of 1.92 with respect to A. Find the speed of light in C. (Give answers to 2 decimal places where needed.)

    OR

    A convex lens of focal length 20 cm is used to form a sharp, real image on a screen that is one-half the size of the object. (a) How far from the lens must the object be placed? (b) How far from the lens is the screen, and what is the distance between the object and the screen? (c) Find the power of the lens. (d) Describe the image if the object is then moved to a point between the lens and its principal focus.

Marking scheme

The answers and the marks for each step or point, as an examiner marks them. Open a section to check a question.

Section A: Biology (30 marks): answers and marks
  1. Q1

    (b) 72 beats per minute (12 × 60 ÷ 10)

  2. Q2

    (c) The xylem

  3. Q3

    (c) 48 ms (1.2 ÷ 25 s = 48 ms)

  4. Q4

    (c) The oviduct (fallopian tube)

  5. Q5

    (c) vegetative propagation

  6. Q6

    (d) 58 (terminal : total = 1 : 4)

  7. Q7

    (b) in one direction only (unidirectional) (energy passing to the next level cannot come back)

  8. Q8

    (a) Both A and R are true, and R is the correct explanation of A. (A is true: (170 − 2) ÷ 170 × 100 = 98.82%. R is true and explains A.)

  9. Q9

    (b) Both A and R are true, but R is not the correct explanation of A. (A is true: 10,000 × (1/10)² = 100 J. R is true but does not explain A.)

  10. Q10
    1. (a) The part that was covered does not turn blue-black; the uncovered part does. (1)
    2. (b) No starch is made where light cannot reach, so light is needed for photosynthesis. (1)
  11. Q11
    1. (i) The effect on growth: abscisic acid — inhibits growth; auxin — promotes growth by making cells grow longer. (1)
    2. (ii) An effect that can be seen: abscisic acid — the wilting of leaves; auxin — a shoot bending towards light. (1)
    Q11 OR
    1. (i) What moves: transpiration — water, lost as vapour from the leaves; translocation — food (the products of photosynthesis). (1)
    2. (ii) Where it happens: transpiration — mainly through the stomata of the leaves; translocation — through the phloem. (1)
  12. Q12
    1. (i) The cells involved: regeneration — specialised cells divide and develop into all the different tissues; fragmentation — each piece of the simple body grows on. (1)
    2. (ii) An example: regeneration — Planaria; fragmentation — Spirogyra. (1)
  13. Q13
    1. (a) The left atrium → the left ventricle → the aorta → the body organs → the vena cava → the right atrium. (1)
    2. (b) Oxygenated: the left atrium, the left ventricle, the aorta. Deoxygenated: the vena cava, the right atrium. (1)
    3. (c) It stops oxygenated and deoxygenated blood from mixing, so the body gets a highly efficient supply of oxygen; birds and mammals need this because they use a lot of energy to keep their body temperature constant. (1)
  14. Q14
    1. (a) dividing by 10 at each step: caterpillar: 100 kJ; lizard: 10 kJ; snake: 1 kJ; hawk: 0.1 kJ. (1)
    2. (b) 0.01% (0.1 ÷ 1,000 × 100 = (1/10)⁴ × 100). (1)
    3. (c) Energy passes from the producers to the herbivores and on to the carnivores; energy that has passed to a higher level does not come back to the level below, and the energy captured by the producers does not return to the Sun. (1)
    Q14 OR
    1. (a) It can cause skin cancer (it can also damage the eyes). (1)
    2. (b) In the 1980s. (1)
    3. (c) Under the United Nations Environment Programme (UNEP), they agreed to freeze CFC production at 1986 levels; making CFC-free refrigerators is now required throughout the world. (1)
  15. Q15 (i)
    1. RR × rr: every F₁ plant gets R from one parent and r from the other, and R is dominant — All are Rr and round. (1)
    Q15 (ii)
    1. Rr × Rr gives wrinkled offspring (rr) in 1 out of 4; 532 ÷ 4 — 133 (1)
    Q15 (iii)
    1. Each F₁ plant makes R and r gametes; Punnett square Rr × Rr: RR, Rr, Rr, rr, so RR : Rr : rr = 1 : 2 : 1 (1)
    2. Out of 532: RR 133, Rr 266, rr 133 (1)
    Q15 (iii) OR
    1. round offspring = 3/4 × 532 = 399, of which RR : Rr = 1 : 2, so 133 are RR (1)
    2. One copy of the dominant R is enough to give the round phenotype, so RR and Rr plants look alike (1)
  16. Q16
    1. (i) Spirogyra: fragmentation — the mature filament breaks into small pieces, and each piece grows into a new filament. (1)
    2. (ii) Yeast: budding — a small outgrowth (bud) forms on the cell, grows and separates as a new cell. (1)
    3. (iii) Leishmania: binary fission — the cell divides into two in a definite plane, related to the whip-like structure at one end. (1)
    4. (b) They come from a single parent and receive copies of its DNA, so they are very similar to it. (1)
    5. DNA copying is not perfectly accurate, so small changes creep in and the offspring are not quite identical. (1)
    Q16 OR
    1. (a)(i) 13 in each gamete (half of 26). (1)
    2. (a)(ii) 26 in the zygote (13 + 13). (1)
    3. (b) 416: the number would double in every generation, 26 × 2⁴ = 416; halving in the gametes keeps it at 26 in every generation, so the DNA and body design stay stable. (1)
    4. (c) DNA carries the information for making the proteins that build the body design, so each new cell must get a copy. The copying reactions are not absolutely accurate, so small variations arise in the copies. (1)
    5. (d) Sexual reproduction combines the DNA of two parents, so it produces more variation in the offspring than asexual reproduction. (1)
Section B: Chemistry (25 marks): answers and marks
  1. Q17

    (c) a displacement reaction (a more reactive element replaces another from its compound)

  2. Q18

    (d) BaSO₄ (BaSO₄ is insoluble in water)

  3. Q19

    (d) blue (sodium hydroxide solution is basic)

  4. Q20

    (c) P (the lowest pH is the most acidic (most H⁺ ions))

  5. Q21

    (a) basic

  6. Q22

    (a) C₂H₄ (unsaturated compounds (C=C or C≡C) add bromine)

  7. Q23

    (b) form an insoluble scum with calcium and magnesium ions

  8. Q24

    (a) Both A and R are true, and R is the correct explanation of A. (A is true: pH 10 is above 7, so the solution is basic. R is true and explains A.)

  9. Q25
    1. Rusting: hydrated iron(III) oxide; needs air and water (1)
    2. Oiling or greasing it — keeps out air and moisture (1)
  10. Q26
    1. MgCO₃ + 2HNO₃ → Mg(NO₃)₂ + H₂O + CO₂ (magnesium nitrate) (1)
    2. Carbon dioxide turns lime water milky: Ca(OH)₂ + CO₂ → CaCO₃ + H₂O (1)
    3. Metal carbonate (or hydrogencarbonate) + acid → salt + carbon dioxide + water. (1)
    Q26 OR
    1. Parents: Hydrochloric acid (HCl, a strong acid) and iron(III) hydroxide (Fe(OH)₃, a weak base) (1)
    2. Equation: Fe(OH)₃ + 3HCl → FeCl₃ + 3H₂O (1)
    3. pH less than 7: a salt of a strong acid and a weak base is acidic (1)
  11. Q27
    1. Yes — Zinc is more reactive than copper (it is above copper in the reactivity series), so it displaces copper from its salt solution (1)
    2. Zn + CuSO₄ → ZnSO₄ + Cu (1)
    3. Mercury or gold (any metal below copper in the reactivity series): it is less reactive than copper. (1)
  12. Q28 (i)
    1. Hydrochloric acid (HCl) (the stomach produces dilute hydrochloric acid) (1)
    Q28 (ii)
    1. A strong base is corrosive and would harm the lining of the mouth, food pipe and stomach; a mild base neutralises the extra acid safely. (strong bases are corrosive) (1)
    Q28 (iii)
    1. Equation: NaHCO₃ + HCl → NaCl + H₂O + CO₂ (1)
    2. Type: neutralisation (an acid reacts with a base to give a salt and water) (1)
    Q28 (iii) OR
    1. The pH rises towards 7 (1)
    2. The base neutralises part of the acid, so there are fewer hydrogen ions; fewer hydrogen ions means a higher pH (1)
  13. Q29
    1. P saturated (single bonds), Q unsaturated (double bond) (1)
    2. C₃H₆ + H₂ → C₃H₈ — hydrogenation of vegetable oils (1)
    3. C₃H₈ + Cl₂ → C₃H₇Cl + HCl — substitution (1)
    4. C₃H₈ + 5O₂ → 3CO₂ + 4H₂O (1)
    5. Q decolourises the orange-brown bromine water (it adds bromine across its double bond); P does not. (1)
    Q29 OR
    1. C₃H₇COOH + C₂H₅OH → C₃H₇COOC₂H₅ + H₂O (ethyl butanoate) (1)
    2. Catalyst; sweet fruity smell of the ester (1)
    3. C₃H₇COOC₂H₅ + NaOH → C₃H₇COONa + C₂H₅OH (sodium butanoate + ethanol) (1)
    4. C₃H₇COOH + NaHCO₃ → C₃H₇COONa + H₂O + CO₂ (1)
    5. Carbon dioxide; it turns lime water milky. (1)
Section C: Physics (25 marks): answers and marks
  1. Q30

    (a) −6 cm (f = R/2, negative for a concave mirror)

  2. Q31

    (c) 4.5 A (I = Q ÷ t = 225 ÷ 50)

  3. Q32

    (b) Both A and R are true, but R is not the correct explanation of A. (A is true: the force is vertically downwards. R is true but does not explain A.)

  4. Q33
    1. Indigo is bent more, red less (in the spectrum indigo lies nearer the violet end) (1)
    2. The refractive index of glass is different for each colour; it is larger for indigo, so indigo bends more (1)
  5. Q34
    1. In series R = 19 + 20 = 39 Ω, so I = V/R = 78 ÷ 39 = 2 A (1)
    2. The same current flows through each resistor: V = IR = 2 × 19 = 38 V (1)
    Q34 OR
    1. The end where the current is seen to flow anticlockwise is the north pole: end M (1)
    2. Reversing the current swaps the poles, so end M becomes a south pole and the compass's north pole points towards it (1)
  6. Q35
    1. 1/R = 1/12 + 1/16 + 1/48 = 1/6, so R = 6 Ω (1)
    2. Each resistor has the full 144 V across it: I = V/R gives 144 ÷ 12 = 12 A, 144 ÷ 16 = 9 A, 144 ÷ 48 = 3 A (1)
    3. Total I = 12 + 9 + 3 = 24 A (= 144 ÷ 6) (1)
  7. Q36
    1. The end at which the current is seen to flow anticlockwise is the north pole, so end B is north and end A is south (1)
    2. End A is a south pole; unlike poles attract, so the magnet is attracted (1)
    3. Inside, the field lines are parallel straight lines, so the field is uniform; it can be made stronger by increasing the current (or the number of turns, or by putting a soft iron core inside) (1)
  8. Q37
    1. 1/R = 1/18 + 1/27 + 1/54 = 1/9, so R = 9 Ω (1)
    2. Each resistor has the full 216 V across it: I = V/R gives 216 ÷ 18 = 12 A, 216 ÷ 27 = 8 A, 216 ÷ 54 = 4 A (1)
    3. Total I = 12 + 8 + 4 = 24 A (= 216 ÷ 9) (1)
  9. Q38 (i)
    1. the shorter the wavelength, the more the scattering — violet (1)
    Q38 (ii)
    1. Red light has the longest wavelength, so it is scattered the least by fog, smoke and dust and can be seen from far away (1)
    Q38 (iii)
    1. Particles of air smaller than the wavelength of light scatter blue light much more than red (1)
    2. Above the atmosphere there is nothing to scatter light, so the sky looks dark (1)
    Q38 (iii) OR
    1. Near the horizon, sunlight travels a long path through the air (1)
    2. shorter wavelengths (blue) are scattered away; the longer red wavelength reaches the eye (1)
  10. Q39
    1. n_A = c/v_A = 3 ÷ 2.4 = 1.25 (1)
    2. n_B = c/v_B = 3 ÷ 1.5 = 2 (1)
    3. n_BA = v_A/v_B = 2.4 ÷ 1.5 = 1.6 (1)
    4. v_B < v_A, so B is optically denser and the ray bends towards the normal (1)
    5. n_CA = v_A/v_C, so v_C = 2.4 ÷ 1.92 = 1.25 × 10⁸ m/s (1)
    Q39 OR
    1. A real image is inverted, so m = v/u = −1/2, giving v = −u/2 (1)
    2. 1/v − 1/u = 1/f gives u = −60 cm, so the object is 60 cm from the lens (1)
    3. v = 30 cm; distance between object and screen = 30 + 60 = 90 cm (1)
    4. P = 100 ÷ 20 = +5 D (1)
    5. Between F and the lens the image is virtual, erect and magnified, on the same side as the object (1)

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