CBSE Class 10 Science 2026 — Paper 31/5/1
80 marks · 3 hours · 39 questions (45 with the OR choices)
34 of its 45 questions also appear in 31/5/2, 31/5/3 and other papers; 11 are only in this paper.
Take this paper as a timed mock
Free with an account: the board's time limit, marking at the end, and the answer to every question.
Questions 1–9 · 1 mark each
- Q1 1 mark
Also in 31/5/2 (Q3), 31/5/3 (Q4)
Identify the part that controls the closing and opening of the stomatal pore in leaves of plants. Select the correct option.- (a)Stomata
- (b)Epidermal cells
- (c)Guard cells
- (d)Chloroplasts
Step-by-step solution →Show answer
(c) Guard cells - Q2 1 markIdentify the endocrine gland that regulates the growth of human body.
- (a)Pituitary gland
- (b)Thyroid gland
- (c)Pancreas
- (d)Adrenal gland
Step-by-step solution →Show answer
(a) Pituitary gland - Q3 1 mark
Also in 31/5/2 (Q4), 31/5/3 (Q1)
Choose the equation of reaction that correctly represents anaerobic respiration in muscles :- (a)
- (b)
- (c)
- (d)
Step-by-step solution →Show answer
(d) - Q4 1 mark
Also in 31/5/2 (Q1), 31/5/3 (Q6)
In human beings, the implantation of fertilised egg takes place in which part of female reproductive system ?- (a)Oviduct
- (b)Cervix
- (c)Uterus
- (d)Vagina
Step-by-step solution →Show answer
(c) Uterus - Q5 1 mark
Also in 31/5/2 (Q6), 31/5/3 (Q7)
When a human egg is fertilized by a sperm having ‘Y’ chromosome, the zygote has the following combination of chromosomes :- (a)44 + XX
- (b)22 + XX
- (c)44 + XY
- (d)22 + XY
Step-by-step solution →Show answer
(c) 44 + XY - Q6 1 mark
Also in 31/5/2 (Q5), 31/5/3 (Q2)
Which of the following is a non-biodegradable pollutant ?- (a)Paper
- (b)DDT
- (c)Wood
- (d)Vegetable peel
Step-by-step solution →Show answer
(b) DDT - Q7 1 markIn an ecosystem, the decomposers perform an important role. Select the option indicating the role of decomposers.
- (a)Convert inorganic materials to simpler forms
- (b)Break down complex organic substances to simple inorganic substances.
- (c)Break down inorganic substances into organic substances.
- (d)Do not act on organic compounds.
Step-by-step solution →Show answer
(b) Break down complex organic substances to simple inorganic substances. - Q8 1 mark
Also in 31/5/3 (Q8)
Question No. 8 & 9 consists of two statements – Assertion (A) and Reason (R). Answer these questions selecting the appropriate option from (a), (b), (c) and (d) given below :Assertion (A): Bacteria that can withstand heat have better chances of survival in a heat wave.
Reason (R): Accumulation of variations in a species increases the chances of its survival in changing environment.
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
Step-by-step solution →Show answer
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). - Q9 1 mark
Also in 31/5/2 (Q8)
Question No. 8 & 9 consists of two statements – Assertion (A) and Reason (R). Answer these questions selecting the appropriate option from (a), (b), (c) and (d) given below :Assertion (A): The peristaltic movements occur all along the gut.
Reason (R): The lining of the gut has muscles that contract rhythmically to push the food in regulated manner.
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
Step-by-step solution →Show answer
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Questions 10–12 · 2 marks each
- Q10 2 marksGive a diagrammatic representation of nutrition in Amoeba.Step-by-step solution →
Show answer
Draw Amoeba four times to show ingestion by pseudopodia, digestion in the food vacuole, absorption and assimilation, and egestion.
The answer is the labelled diagram shown above: one Amoeba drawn four times in a row. (i) Ingestion - the cell pushes out pseudopodia that surround the food particle. (ii) Digestion - the pseudopodia fuse, the food is enclosed in a food vacuole, and enzymes inside the vacuole break the complex food into simple soluble substances. (iii) Absorption and assimilation - the digested food passes from the vacuole into the cytoplasm and is used for energy, growth and repair. (iv) Egestion - the shrunken vacuole reaches the cell surface and the undigested residue is thrown out. Labels required: Amoeba, nucleus, food particle, pseudopodia, food vacuole, point of egestion. - Q11(a) 2 marks
Also in 31/5/2 (Q10(a)), 31/5/3 (Q12(a))
Observe the given figure and identify the labelled parts P, Q, R and S :Step-by-step solution →Show answer
P is the receptor, Q the sensory neuron, R the relay neuron and S the effector (arm muscle).
P - Receptor: the heat and pain receptors in the skin of the hand, which detect the stimulus. Q - Sensory neuron: it carries the impulse from the receptor to the spinal cord. R - Relay neuron: the neuron inside the spinal cord that passes the impulse from the sensory neuron to the motor neuron. S - Effector: the muscle of the arm, which contracts and pulls the hand away.ORQ11(b) 2 marksAlso in 31/5/2 (Q10(b)), 31/5/3 (Q12(b))
Which of the plant hormones are responsible for the following processes ?- (i)Promote cell division
- (ii)Inhibition of growth
- (iii)Detection of light
- (iv)Wilting of leaves
Step-by-step solution →Show answer
Cytokinin promotes cell division, abscisic acid inhibits growth and causes wilting, and auxin bends the shoot towards light.
(i) Cytokinin - it promotes cell division. (ii) Abscisic acid - it is the growth inhibitor among the plant hormones. (iii) Auxin - it gathers on the shaded side of a shoot, makes those cells grow longer and bends the shoot towards the light. (iv) Abscisic acid - it closes the stomata under water stress, and wilting of leaves is among its effects. - Q12 2 marks
Also in 31/5/2 (Q11), 31/5/3 (Q10)
Briefly mention the steps in double-circulation through human heart.Step-by-step solution →Show answer
Blood passes twice through the heart: body to right atrium, right ventricle, lungs, left atrium, left ventricle and back to the body.
Double circulation means that blood passes through the heart twice in one complete round of the body: (1) Deoxygenated blood from the body enters the right atrium through the vena cava; the right atrium contracts and passes it to the right ventricle. (2) The right ventricle pumps it through the pulmonary artery to the lungs, where it gives up and takes up . (3) The oxygenated blood returns through the pulmonary veins to the left atrium, which contracts and passes it to the left ventricle. (4) The left ventricle pumps it through the aorta to all parts of the body; there it gives up oxygen and returns to the right atrium, and the cycle repeats. Steps (2) and (3) form the pulmonary circulation (heart to lungs to heart) and steps (4) and (1) the systemic circulation (heart to body to heart). Valves stop the blood from flowing backwards.
Questions 13–14 · 3 marks each
- Q13 3 marksBased on Mendel’s experiment show the cross between round, yellow seeds of pea plant (RRYY) with wrinkled and green seeds of pea plant (rryy) upto generation. Write the number of seeds/plants with following genetic (Genotype) makeup in generation :
- (i)RRYY
- (ii)rryy
Step-by-step solution →Show answer
In , is 1 out of 16 and is 1 out of 16; the phenotypic ratio is .
: (round, yellow) (wrinkled, green); gametes and . : all — round and yellow seeds. selfed (): each plant forms four kinds of gametes, , , , , and the checkerboard is Round yellow : round green : wrinkled yellow : wrinkled green . (i) : out of the (one box of the checkerboard). (ii) : out of the (one box of the checkerboard). - Q14 3 marks
Also in 31/5/2 (Q13), 31/5/3 (Q13)
- (a)Mention any one harmful effect of using plastic bags on the environment. Suggest better alternatives to the usage of plastic bags.
- (b)Paddy fields require a large amount of water. The pesticides and chemical fertilizers used are washed down into the soil or waterbodies. How do these chemicals reach our bodies ? What is this phenomenon known as ?
Step-by-step solution →Show answer
Plastic bags persist for years, so use cloth, jute or paper bags; chemicals reach us through the food chain by biological magnification.
(a) Harmful effect (any one): plastic bags are non-biodegradable, so they persist in the environment for years; they choke drains and sewers and cause water-logging, they stop water and air from entering the soil they cover, and animals that swallow them may die. Better alternatives: cloth or jute bags, which can be used again and again, and paper bags, which are biodegradable. (b) The chemicals are washed into the soil and water bodies; from the soil the paddy and other plants absorb them along with water and minerals, and in water bodies aquatic plants and animals take them up, so they enter the food chain. Being non-degradable they are not broken down or excreted, so they get accumulated at each trophic level, and human beings, who are at the top of the food chain, get the maximum concentration through food such as rice, vegetables and fish. This phenomenon is known as biological magnification.
Question 15 · 4 marks
- Q15 4 marks
Also in 31/5/2 (Q15), 31/5/3 (Q15)
Kidneys help to regulate the volume of fluid and various metabolites waste products in the body. Normally, kidney filter about 180 L of fluid daily but the volume actually excreted out is only a litre or two a day. Patients with kidney failures can be saved by dialysis and kidney transplant.- (a)Write the structure and function of Bowman’s capsule.[1]
- (b)Although kidneys filter a large amount (about 180 L daily) of fluids, still the excretion from the body is only about a litre or two. Why ?[1]
- (c)What is excretion ? Why is it necessary for any living organism ?[2]
- (c)OR : State two similarities between lungs and kidneys.[2]
Step-by-step solution →Show answer
Bowman's capsule is a cup-shaped part holding the glomerulus that collects filtrate; about of filtrate is reabsorbed; excretion removes metabolic wastes.
(a) Bowman’s capsule is the thin-walled, cup-shaped beginning of a nephron; it encloses the glomerulus, a cluster of very fine blood capillaries, and opens into the coiled tubule. Function: it collects the filtrate (water, glucose, amino acids, salts and urea) filtered out of the blood in the glomerulus and passes it into the tubule. (b) Because almost all of the filtrate is taken back. As it flows along the tubule, glucose, amino acids, salts and most of the water are selectively reabsorbed into the surrounding blood capillaries, about to L of the L, that is roughly , so only to L is left to be excreted as urine. (c) Excretion is the biological process by which the harmful waste products of metabolism are removed from the body. It is necessary because wastes such as urea and uric acid are made continuously in the cells and are poisonous if they collect in the body; removing them also keeps the water and salt content of the body fluids in balance. OR (c) Two similarities: (i) both are excretory organs that remove metabolic wastes from the blood, the lungs removing carbon dioxide and the kidneys nitrogenous wastes such as urea; (ii) in both, the exchange happens across a cluster of very thin-walled blood capillaries offering a large surface, around the alveoli in the lungs and in the glomerulus of each nephron. (Both are also paired organs with a rich blood supply.)
Question 16 · 5 marks
- Q16(a) 5 marks
Also in 31/5/2 (Q16(b)), 31/5/3 (Q16(b))
(i) In an angiospermic flower, fertilization is said to take place when male gametes carried in the pollen tube fuse with the female gamete, present in the embryo sac. This results in lot of changes in different parts of the flower. State the changes taking place in the following structures of flower post fertilization :- (a)Zygote
- (b)Ovule
- (c)Ovary
- (d)Sepals (ii) Define germination.
Step-by-step solution →Show answer
Zygote becomes embryo, ovule becomes seed, ovary becomes fruit and sepals fall off; germination turns the embryo into a seedling.
(i)(a) Zygote: it divides repeatedly and develops into the embryo, which lies inside the ovule. (i)(b) Ovule: it develops a tough coat and is gradually converted into the seed, holding the embryo and its stored food. (i)(c) Ovary: it grows rapidly and ripens to form the fruit, whose wall encloses the seeds. (i)(d) Sepals: they usually shrivel and fall off, along with the petals, stamens, style and stigma; in some plants, such as brinjal, they stay attached to the fruit. (ii) Germination is the process in which the embryo inside a seed develops into a seedling under appropriate conditions of water, air (oxygen) and suitable temperature.ORQ16(b) 5 marksAlso in 31/5/2 (Q16(a)), 31/5/3 (Q16(a))
- (i)Sugarcane does not produce seeds so name the process through which it will be able to reproduce.
- (ii)List any two advantages of this method.
- (iii)Besides sugarcane, give two more examples of plants that reproduce by this method.
- (iv)Why regeneration is not possible in all the types of animals ?
Step-by-step solution →Show answer
Sugarcane reproduces by vegetative propagation, which keeps the parent's characters; complex animals cannot regenerate because their specialised cells cannot rebuild the whole body.
(i) Vegetative propagation. Pieces of the sugarcane stem bearing nodes with buds are planted, and each bud grows into a new plant. (ii) Any two: the new plants are genetically similar to the parent, so the characteristics of a good variety are retained; they bear flowers and fruits earlier than plants grown from seeds; and the method allows plants that have lost the capacity to produce seeds (banana, orange, rose, jasmine) to be propagated. (iii) Rose and grapes (banana, jasmine, potato or Bryophyllum are equally acceptable). (iv) Regeneration is carried out by specialised cells that multiply and then change, in an organised sequence, into all the different cell types and tissues; only organisms that have such cells can regenerate. Simple animals such as Hydra and Planaria have them, so a cut piece can grow into a complete organism. Complex animals do not: their body cells have already become particular kinds of cells, organised into tissues, organs and organ systems that must lie at definite positions in the body, so a fragment cannot rebuild the entire organised body, and a whole individual cannot be regenerated.
Questions 17–24 · 1 mark each
- Q17 1 mark
Also in 31/5/2 (Q20)
The volume ratio of hydrogen and oxygen gases liberated during electrolysis of water is :- (a)
- (b)
- (c)
- (d)
Step-by-step solution →Show answer
(b) - Q18 1 mark
Also in 31/5/2 (Q17), 31/5/3 (Q20)
Which of the following set of compounds does not belong to same homologous series ?- (a) and
- (b) and
- (c) and
- (d) and
Step-by-step solution →Show answer
(d) and - Q19 1 mark
Also in 31/5/2 (Q18), 31/5/3 (Q17)
Which of the following is an amphoteric oxide ?- (a)
- (b)
- (c)
- (d)
Step-by-step solution →Show answer
(d) - Q20 1 mark
Also in 31/5/2 (Q21), 31/5/3 (Q22)
Study the following table and select the correct option :Option Salt Acid used Base used Nature of Salt (a) NaCl HCl NaOH Basic (b) Na₂CO₃ H₂CO₃ NaOH Neutral (c) Na₂SO₄ H₂SO₄ NaOH Acidic (d) CH₃COONa CH₃COOH NaOH Basic - (a)Salt: ; Acid used: ; Base used: ; Nature of Salt: Basic
- (b)Salt: ; Acid used: ; Base used: ; Nature of Salt: Neutral
- (c)Salt: ; Acid used: ; Base used: ; Nature of Salt: Acidic
- (d)Salt: ; Acid used: ; Base used: ; Nature of Salt: Basic
Step-by-step solution →Show answer
(d) Salt: ; Acid used: ; Base used: ; Nature of Salt: Basic - Q21 1 mark
Also in 31/5/2 (Q22), 31/5/3 (Q18), 31/8/3/SB (Q19)
Which of the following will not undergo addition reaction ?- (a)
- (b)
- (c)
- (d)
Step-by-step solution →Show answer
(c) - Q22 1 mark
Also in 31/5/3 (Q21)
Four solutions, namely fructose, ethanol, hydrochloric acid and sodium hydroxide filled in four separate beakers are connected one by one in an electric circuit with a bulb. The solutions in which the bulb will glow when current is passed are :- (a)ethanol and hydrochloric acid
- (b)fructose and ethanol
- (c)fructose and sodium hydroxide
- (d)hydrochloric acid and sodium hydroxide
Step-by-step solution →Show answer
(d) hydrochloric acid and sodium hydroxide - Q23 1 markWhich gas is evolved when magnesium metal reacts with very dilute ?
- (a)Oxygen
- (b)Nitrogen
- (c)Hydrogen
- (d)Nitrogen Dioxide
Step-by-step solution →Show answer
(c) Hydrogen - Q24 1 mark
Also in 31/5/2 (Q24), 31/5/3 (Q24)
In the question two statements are given – one labelled as Assertion (A) and other labelled as Reason (R). Answer this question selecting the appropriate option from (a), (b), (c) and (d) given below :Assertion (A): Reaction of quick lime with water is an exothermic reaction.
Reason (R): A large amount of heat is evolved on the reaction of quick lime and water.
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
Step-by-step solution →Show answer
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Question 25 · 2 marks
- Q25 2 marksDefine the following terms :
- (i)Olfactory indicator
- (ii)Water of crystallization
Step-by-step solution →Show answer
An olfactory indicator changes smell in acid or base; water of crystallization is the fixed number of water molecules per formula unit.
(i) An olfactory indicator is a substance whose odour changes in acidic or basic medium, so that a change in smell shows whether a solution is an acid or a base; onion and vanilla essence are examples, as their smell cannot be detected in a basic solution, and clove oil behaves in the same way. (ii) Water of crystallization is the fixed number of water molecules present in one formula unit of a salt, for example the five molecules in blue copper sulphate crystals, , which turn white on heating when this water is driven off.
Questions 26–27 · 3 marks each
- Q26 3 marksWhat happens when
- (i)lead (II) nitrate is heated ?
- (ii)iron (II) sulphate is heated ?
- (iii)silver chloride is exposed to sunlight ? Write balanced chemical equations of the reactions involved in support of your answer.
Step-by-step solution →Show answer
Lead nitrate gives brown fumes and lead oxide; iron(II) sulphate gives reddish-brown iron(III) oxide; silver chloride turns grey as it forms silver.
(i) White lead(II) nitrate decomposes on heating, giving brown fumes of nitrogen dioxide and oxygen gas and leaving a yellow residue of lead(II) oxide: (thermal decomposition). (ii) Green iron(II) sulphate crystals first lose water and turn white, then decompose to a reddish-brown residue of iron(III) oxide with sulphur dioxide and sulphur trioxide, which smell of burning sulphur: (thermal decomposition). (iii) White silver chloride turns grey in sunlight as it decomposes into silver and chlorine: (photolytic decomposition). - Q27(a) 3 marks
Also in 31/5/2 (Q27(a)), 31/5/3 (Q27(a))
- (a)Give the chemical name and formula of Plaster of Paris.
- (b)Write the chemical equation of its preparation.
- (c)Give any two uses of it.
Step-by-step solution →Show answer
Plaster of Paris is calcium sulphate hemihydrate, made by heating gypsum at 373 K; it supports fractured bones and is used for toys.
(a) Plaster of Paris is calcium sulphate hemihydrate (calcium sulphate half water), . (b) It is prepared by heating gypsum at K: . (c) Any two uses: doctors use it as plaster for supporting fractured bones in the right position; it is used for making toys, decorative materials and for making surfaces smooth.ORQ27(b) 3 marksAlso in 31/5/2 (Q27(b)), 31/5/3 (Q27(b))
- (a)Name the acid present in ant’s sting.
- (b)Give reason : (i) While diluting an acid, it is recommended that the acid should be added to water. (ii) Baking soda is used as an antacid.
Step-by-step solution →Show answer
Ant stings contain methanoic acid; acid is added to water because dilution is exothermic; baking soda, a mild base, neutralises stomach acid.
(a) Methanoic acid (formic acid), . (b)(i) The dilution of an acid is a highly exothermic process. If water is added to a concentrated acid, the small amount of water becomes so hot that it boils, the mixture splashes out and can cause burns, and the container may crack from the local heating. Adding the acid slowly to a large volume of water, with constant stirring, lets the water absorb the heat safely. (ii) Baking soda (sodium hydrogencarbonate) is a mild base. It neutralises the excess hydrochloric acid in the stomach and gives relief from acidity: .
Question 28 · 4 marks
- Q28 4 marks
Also in 31/5/2 (Q28), 31/5/3 (Q28)
Alcohol forms a homologous series with general formula and group as functional group. Ethanol is commonly called alcohol and is used in alcoholic drinks. It is good solvent, used in medicines, cough syrups, tonics etc.- (a)Write structural formula and name of 4th member of alcohol homologous series.[1]
- (b)What happens when ethanol is heated with alkaline ? Write chemical equation involved.[1]
- (c)Write the chemical equation of reaction of ethanol with ethanoic acid in the presence of concentrated . Write the name of this reaction.[2]
- (c)OR : What happens when ethanol is heated with excess concentrated sulphuric acid at K ? Write chemical equation involved. What is the role of concentrated sulphuric acid in this reaction ?[2]
Step-by-step solution →Show answer
The 4th alcohol is butanol, ; ethanol is oxidised to ethanoic acid; ethanol and ethanoic acid give an ester by esterification.
(a) The 4th member is butanol (butan-1-ol), ; its structural formula is , drawn out in full as (b) Ethanol is oxidised to ethanoic acid (the purple colour of the permanganate fades): . (c) ; the reaction is esterification and the product, ethyl ethanoate, is a sweet-smelling ester. OR (c) Ethanol is dehydrated to ethene: ; the concentrated sulphuric acid acts as a dehydrating agent.
Question 29 · 5 marks
- Q29(a) 5 marks
Also in 31/5/2 (Q29(a)), 31/5/3 (Q29(a))
- (i)Give reasons for the following : (I) Ionic compound have generally high melting points and boiling points. (II) Solder, an alloy of lead and tin, is used for welding electrical wires. (III) Carbon cannot reduce the oxides of Na or Mg.
- (ii)The reaction of compound ‘X’ with aluminium is used to join railway tracks : (I) Identify the compound ‘X’. (II) Name the reaction. (III) Write the balanced chemical equation of the reaction of compound ‘X’ with aluminium.
Step-by-step solution →Show answer
Strong ionic attractions give high melting points; solder melts easily; carbon cannot reduce Na or Mg oxides; X is in the thermit reaction.
(i)(I) In an ionic compound the oppositely charged ions are held together by strong electrostatic forces of attraction, and a considerable amount of energy is needed to overcome them; hence the high melting and boiling points. (II) Solder has a low melting point — lower than that of lead or of tin — so it melts easily and joins the wires without melting them, and the joint, being metallic, conducts electricity. (III) Sodium and magnesium lie above carbon in the reactivity series and have a greater affinity for oxygen than carbon has, so carbon cannot remove the oxygen from their oxides; such metals are obtained by electrolytic reduction. (ii)(I) ‘X’ is iron(III) oxide, . (II) The reaction is the thermit reaction. (III)ORQ29(b) 5 marksAlso in 31/5/2 (Q29(b)), 31/5/3 (Q29(b))
- (i)Write the balanced chemical equations when : (I) A mixture of and is heated. (II) is heated in the presence of oxygen.
- (ii)Give reasons for the following : (I) The wires carrying current in homes have a coating of PVC. (II) To make hot water tanks, copper is used and not steel.
- (iii)Show the formation of ionic compound with electron dot structure. [Atomic number : , ]
Step-by-step solution →Show answer
Self-reduction gives copper and roasting gives ; PVC insulates, copper resists steam, and forms when Ca transfers two electrons to O.
(i)(I) (self-reduction). (II) (roasting). (ii)(I) PVC is an electrical insulator; its coating on the copper wire keeps the current inside the wire and so prevents electric shocks and short circuits. (II) Copper does not react with water, hot water or steam, whereas the iron in steel reacts with steam, , and also rusts, so a steel tank would corrode; copper is also a good conductor of heat. (iii) Calcium () transfers its two valence electrons to oxygen (), giving () and (), which are held together by an ionic bond:
Questions 30–32 · 1 mark each
- Q30 1 mark
Also in 31/5/2 (Q31), 31/5/3 (Q30)
Rays from the sun converge at a point cm behind a convex lens. The distance at which an object be placed in front of the lens to get a virtual image, is :- (a) cm
- (b) cm
- (c) cm
- (d)More than cm
Step-by-step solution →Show answer
(a) cm - Q31 1 mark
Also in 31/5/2 (Q30), 31/5/3 (Q31)
To restore clear vision in persons whose size of the eye ball has reduced, he/she is suggested to use suitable- (a)Converging lens
- (b)Diverging lens
- (c)Bifocal lens
- (d)Cylindrical lens
Step-by-step solution →Show answer
(a) Converging lens - Q32 1 mark
Also in 31/5/2 (Q32), 31/5/3 (Q32)
For question number 32, two statements are given – one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to this question from the codes (a), (b), (c) and (d) as given below :Assertion (A): The needle of a magnetic compass kept in strong external magnetic field, always aligns itself in north-south direction on the earth.
Reason (R): Behaviour of the needle of a compass is same as that of a freely suspended bar magnet.
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- (c)Assertion (A) is true, but Reason (R) is false.
- (d)Assertion (A) is false, but Reason (R) is true.
Step-by-step solution →Show answer
(d) Assertion (A) is false, but Reason (R) is true.
Questions 33–34 · 2 marks each
- Q33 2 marks
- (a)Relate the speed of light in the given medium with its optical density.
- (b)Using the information given in the table below, arrange the medium A, B and C in the ascending order of their optical density.
Medium Speed of light (m/s) A 2.25 × 10⁸ B 2 × 10⁸ C 2.08 × 10⁸ Step-by-step solution →Show answer
Greater optical density means lower speed of light; the order of optical density is .
(a) The speed of light in a medium is inversely related to its optical density: the lower the speed of light in a medium, the greater its optical density (and the greater its refractive index, ). Light travels fastest in the optically rarest medium and slowest in the optically densest one. (b) Ascending order of optical density: - their speeds are , and m/s, giving refractive indices of about , and . - Q34(a) 2 marks
Also in 31/5/2 (Q34(a)), 31/5/3 (Q34(a))
- (i)How does the change in curvature of the eye lens helps us in the process of seeing the nearby objects clearly ?
- (ii)State the range of the power of accommodation of a normal human eye.
Step-by-step solution →Show answer
Contracting ciliary muscles thicken the lens, shortening its focal length for near objects; normal range is about 25 cm to infinity.
(i) To see a nearby object clearly the ciliary muscles contract, which increases the curvature of the eye lens so that it becomes thicker. A more curved lens has a shorter focal length (greater power), so it converges the steeply diverging light coming from the nearby object enough to form a sharp image on the retina, whose distance from the lens cannot change. This adjustment of focal length is called accommodation; for a distant object the muscles relax, the lens thins and its focal length increases. (ii) A normal human eye can see objects clearly from its near point, about cm, to its far point at infinity; over this range the power of its lens changes by about D.ORQ34(b) 2 marksAlso in 31/5/2 (Q34(b)), 31/5/3 (Q34(b))
Draw a ray diagram to show the correction of eye defect of an old man who can not see an object placed closer than 1 m from his eye, clearly.Step-by-step solution →Show answer
Presbyopia, corrected by a convex lens of power D (focal length cm).
The old man's near point has receded to m, so he suffers from presbyopia: with age the ciliary muscles weaken and the eye lens loses its flexibility, so the near point recedes. For near vision it behaves like long-sightedness (hypermetropia) - light from a nearby object would be focused behind the retina. It is corrected with spectacles carrying a convex (converging) lens: to read at the normal cm, per cm, so cm cm and D. Ray diagram: the object stands at ( cm); the convex lens in front of the eye bends the rays from so that they leave it diverging as if from ( m, his near point - shown by dashed backward extensions), and the eye lens then focuses them on the retina. Arrows on every ray show the direction of light.
Questions 35–37 · 3 marks each
- Q35 3 marks
Also in 31/5/2 (Q37), 31/5/3 (Q35)
- (a)Draw the ray diagram for refraction of light through a glass prism and mark angle of refraction and angle of deviation.
- (b)When the path of a light ray refracted through a glass prism is reversed how will the angle of deviation change ? Explain.
Step-by-step solution →Show answer
The angle of deviation remains the same, because the reversed ray retraces its path and depends only on .
(a) A ray PE falls on face AB of the prism at E and, bending towards the normal , travels through the glass along EF; at F on face AC it bends away from the normal and emerges along FS. Marked on the diagram: the angle of refraction , between EF and the normal at E, and the angle of deviation , between the incident ray PE produced forward and the emergent ray FS produced backward (with , and the angle of the prism shown as well). (b) The angle of deviation does not change - it remains the same. By the reversibility of light the reversed ray retraces the original path, so its angle of incidence is the old angle of emergence and its angle of emergence the old angle of incidence; since depends only on the sum , interchanging the two leaves the deviation unchanged. - Q36 3 marks
- (a)A ray of light after reflection from a concave mirror becomes parallel to its principal axis. Draw a labelled ray diagram to show this.
- (b)(i) Differentiate between the virtual images formed by a convex mirror and concave mirror. (ii) “The value of magnification ‘’ for a mirror is .” Calculate the height of object if the height of image is 20 cm.
Step-by-step solution →Show answer
A ray through reflects parallel to the axis; a concave mirror's virtual image is enlarged, a convex mirror's diminished; cm.
(a) A ray passing through the principal focus of a concave mirror is reflected parallel to the principal axis: the labelled diagram shows the mirror with , and on the principal axis (), the incident ray drawn through to the mirror, the normal at the point of incidence, and the reflected ray leaving parallel to the principal axis. (b) (i) A concave mirror forms a virtual image only when the object is between and ; that image is erect, enlarged, and lies behind the mirror farther from it than the object. A convex mirror forms a virtual image for every position of the object; that image is erect, diminished, and always lies behind the mirror between and . (ii) is negative, so the image is inverted and cm; hence cm. The object is cm tall. - Q37 3 marks
Also in 31/5/2 (Q35), 31/5/3 (Q37)
- (a)Why does an electric bulb become dim when an electric heater in parallel circuit is switched ON ?
- (b)How to connect three resistors each of resistance , so that the equivalent resistance of the combination is ? Draw diagram of the combination and justify your answer.
Step-by-step solution →Show answer
The heater's large current lowers the voltage across the bulb; two resistors in parallel plus one in series give .
(a) A bulb and a heater in a house are joined in parallel across the supply. The heater has a low resistance, so when it is switched on it draws a large current and the total current drawn from the mains increases greatly. This larger current flows through the supply wires, which have some resistance , so a larger potential difference is used up in them and the potential difference left across the bulb decreases. As a result the current through the bulb decreases, its power falls, and the bulb glows dim. (b) Connect two of the resistors in parallel and join this combination in series with the third resistor. Justification: for the parallel pair , so ; in series with the third resistor, .
Question 38 · 4 marks
- Q38 4 marks
Also in 31/5/2 (Q38), 31/5/3 (Q38)
Three students Shweta, Ayesha and Samridhi were performing an experiment to understand the factors on which the resistance of a conductor depends. Each one of them completed electric circuit with the help of a cell, an ammeter, a plug key and wire. Shweta put nichrome wire of length ‘’ in the circuit and after plugging the key, noted current in the ammeter. Ayesha put nichrome wire of same thickness but twice the length i.e. ‘’ in the circuit and after plugging the key, noted current in the ammeter. Samridhi took copper wire of length ‘’ and same thickness in the circuit and after plugging the key, noted current in the ammeter.- (a)If the ammeter reading is ampere with nichrome wire of length ‘’, then what will be the ammeter reading if the length of nichrome wire is doubled with same area of cross-section ?
- (b)What happens to the ammeter reading if the area of cross-section of nichrome wire is doubled, keeping the length of wire ‘’ the same ?
- (c)Define ‘resistivity’. Write its SI unit. Compare the resistivity of an alloy with its constituents metals.
- (c)OR : Give reason : (i) Tungsten is used almost exclusively for making the filament of electric lamps. (ii) Conductors of bread-toasters are made of an alloy rather than a pure metal.
Step-by-step solution →Show answer
Current halves to for double length and doubles to for double area; resistivity is , in ohm metre.
(a) Doubling the length doubles the resistance (), so with the same cell the current is halved: the ammeter reads ampere. (b) Doubling the area of cross-section halves the resistance, so the ammeter reading is doubled, to ampere. (c) Resistivity is the resistance of a conductor of the material having unit length and unit area of cross-section, ; its SI unit is the ohm metre ( m). The resistivity of an alloy is generally much higher than that of its constituent metals - nichrome, for instance, has about m against nickel's m - and alloys do not oxidise readily at high temperatures. OR (c) (i) Tungsten has a very high melting point (about C) and a high resistivity, and it can be drawn into a fine, strong wire, so its filament can be kept white hot and glow without melting. (ii) An alloy has a much higher resistivity than a pure metal, so for the same current () the element gives out far more heat than the connecting wires, and an alloy does not oxidise (burn) readily at high temperature, so the heating conductor lasts.
Question 39 · 5 marks
- Q39(a) 5 marks
- (i)Draw a diagram showing the magnetic field lines around a bar magnet. Write any two characteristics of magnetic field lines.
- (ii)Write the statement of Right hand thumb rule.
- (iii)The concentric circles representing the magnetic field around a current carrying straight wire become larger and larger as we move away from the wire. How does magnetic field change on these concentric circles ?
Step-by-step solution →Show answer
A bar magnet's field lines are closed curves; round a straight wire the field is constant along each circle and weakens outwards as .
(i) The field lines of a bar magnet are closed curves: outside the magnet they emerge from the north pole, curve round and enter the south pole, and inside the magnet they run from the south pole to the north pole; they are crowded near the poles and widely spaced near the middle, as the diagram shows. Two characteristics - magnetic field lines never intersect one another, because a compass placed at a crossing would have to point in two directions at once; and the lines are crowded where the field is strong and farther apart where it is weak, the tangent at any point giving the direction of the field there. (ii) Right hand thumb rule: if a current-carrying straight conductor is held in the right hand with the thumb pointing along the direction of the current, then the fingers wrapped round the conductor give the direction of the magnetic field lines. (iii) On any one circle the field has the same magnitude at every point, since all those points are the same distance from the wire, and its direction is along the tangent there. From one circle to the next the field becomes weaker as the circles become larger, because , that is : a circle of twice the radius carries half the field.ORQ39(b) 5 marks- (i)Draw a diagram, showing the magnetic field lines in and around the current carrying solenoid. Write any two salient features of these lines.
- (ii)What is an electromagnet and how is it made ?
Step-by-step solution →Show answer
A solenoid's field is uniform inside and like a bar magnet's outside; an electromagnet is a soft iron core in a current-carrying coil.
(i) The diagram shows the field lines of a current-carrying solenoid: inside the coil they are straight, parallel and equally spaced, running from the south end to the north end, and outside they leave the north end, curve round the coil and enter the south end, so that each line is a closed curve. Two salient features - the field inside the solenoid is uniform, the same in magnitude and direction at every point there, which is why those lines are parallel and equally spaced; and the pattern outside is exactly that of a bar magnet, one end of the coil behaving as a north pole and the other as a south pole, with no two lines ever intersecting. (ii) An electromagnet is a temporary magnet made by passing an electric current through a coil of insulated wire wound on a soft iron core; the core stays magnetised only as long as the current flows. It is made by winding a long insulated copper wire closely round a rod of soft iron in the form of a solenoid and connecting the ends of the wire to a battery through a plug key. Closing the key magnetises the core, which then behaves as a strong magnet with a north and a south pole; opening the key leaves it with almost no magnetism. Its strength is increased by increasing the current or the number of turns, and its poles are interchanged by reversing the current.