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ITBP PUBPLIC SCHOOL

CLASS XII

ASSIGNMENT CHEMISTRY

Multiple Choice Questions (Type - I)

1. On addition of conc. H2SO4 to a chloride salt, colourless fumes are evolved but in case of

iodide salt, violet fumes come out. This is because

(a) H2SO4 reduces HI to I2 (b) HI is of violet colour

(b) HI gets oxidized to I2 (d) HI changes to HIO3

3. Which of the following elements can be involved in pπ-dπ bonding ?

(a) Carbon (b) Nitrogen

(c) Phosphorus (d) Boron

4. Which of the following acids forms three series of salts ?

(a) H3PO2 (b) H3BO3

(c) H3PO4 (d) H3PO3

5. Elements of group 15form compounds in + 5 oxidation state. However, bismuth forms

only one well characterized compound in + 5 oxidation state. The compound is

(a) Bi2O5 (b) BiF5

(c) BiCl5 (d) Bi2S5

6. On heating ammonium dichromate and barium azide separately we get

(a) N2 in both cases

(b) N2 with ammonium dichromate and NO with barium azide

(c) N2O with ammonium dichromate and N2 with barium azide

(d) N2O with ammonium dichromate and NO2 with barium azide

7. In the preparation of HNO3, we get NO gas by catalytic oxidation of ammonia. The moles

of NO produced by the oxidation of two moles of NH3 will be.

(a) 2 (b) 3

(c) 4 (d) 6

8. The oxidation state of central atom in the anion of compound NaH2PO2 will be.

(a) + 3 (b) + 5

(c) + 1 (d) – 3

9. Which of the following is not tetrahedral in shape ?

(a) NH+4 (b) SiCl4

(c) SF4 (d) SO2-4

10. A black compound of manganese reacts with a halogen acid to give greenish yellow gas.

When access of this gas reacts with NH3 an unstable trihalide is formed. In the this process,

the oxidation state of nitrogen changes from

(a) -3 to +3 (b) -3 to 0

(c) -3 to +5 (d) 0 to -3

11. In solid state PCl5is a

(a) covalent solid

(b) octahedral structure

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(c) ionic solid with [PCl6]+ octahedral and [PCl4]- tetrahedral

(d) ionic solid with [PCl4]+ tetrahedral and [PCl6]- octahedral

12. Which of the following is isoelectronic pair ?

(a) ICl2, CIO2 (b) BrO-2

(c) CIO2, BrF (d) CN-, O3

Matching Type Questions

13. Match the compound ins given in Column I with the hybridisation and shape given in

Column II and mark the correct option

Column I Column II

(a) XeF6 (i) sp3d3 – distorted octahedral

(b) XeO3 (ii) sp3d2 – square planar

(c) XeOF4 (iii) sp3 – pyramidal

(d) XeF4 (iv) sp3d2 – square pyramidal

14. Match the formula of oxides given in Column I with the type of oxides given in Column II

and mark the correct options.

Column I Column II

(a) Pb3O4 (i) Neutral Oxide

(b) N2O (ii) Acidic Oxide

(c) Mn2O7 (iii) Basic Oxide

(d) Bi2O3 (iv) Mixed Oxide

Assertion – Reason Type Questions

Note : In the following questions a statement of assertion followed by a statement of reason

is given. Choose the correct answer out of the following choices:

(a) Both assertion and reason are correct statements, and reason is the correct explanation

of the assertion.

(b) Both assertion and reason are correct statements, but reason is not the correct

explanation of the assertion.

(c) Assertion is correct but the reason is wrong statement.

(d) Assertion is wrong, but reason is correct statement.

(e) Both assertion and reason are wrong statements.

15. Assertion : N2is less reactive than P4.

Reason : Nitrogen has more electron gain enthalpy than phosphorus.

16. Assertion : HNO3 makes iron passive.

Reason : HNO3forms a protective layer of ferric nitrate on the surface of iron.

17. Assertion : HI cannot be prepared by the reaction of KI with concentrated H2SO4

Reason : HI has lowest H – X bond strength among halogen acids.

18. Assertion : Both rhombic and monoclinic sulphur exist as S8 but oxygen exist as O2.

Reason : Oxygen forms pπ – pπ multiple bond due to small size and small

bond length but pπ – pπ bonding is not possible in sulphur.

19. Assertion : NaCl reacts with concentrated H2SO4 to give colourless fumes with pungent

smell. But on adding MnO2 the fumes become greenish yellow.

Reason : MnO2 oxidises HCl to chlorine gas which greenish yellow.

20. Assertion : SF6 cannot be hydroysed but SF4 can be.

Reason : Six F atoms in SF6 prevent the attack of H2O on sulphur atom of SF6.

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21. The conjugate base of HCIO4 is a weaker base than H2O. Explain.

1.) Read the following passage and answer the questions that follow:

Group 15 elements consist of N, P, As, Sb, Bi and Mc (Moscovium) with general electronic

configuration ns2 np3 and oxidation states +3 and +5. Nitrogen differs from rest of the

elements. Phosphorus show allotropy and is more reactive than Nitrogen. Hydrides of group

15 elements show variation in bond angle, boiling point, basic character, stability and

reducing character. Oxides of group 15 elements show decrease in acidic character and

more increase in basic character. Nitrogen forms large number of oxides. Halides of group

15 elements are mostly covalent. Nitrogen and phosphorus form oxoacids along with As.

Nitric acid is manufactured by Ostwald process and useful for nitration and as oxidising

agent. NH3 is used in manufacture of fertilisers. HNO3 reacts with metals and non-metals to

give different products under different conditions. Phosphorus reacts with oxygen,

halogens, nitric acid, NaOH to form different products

. (a) Why does reducing character increases from NH3 to BiH3?

(b) Draw the structure of oxides of nitrogen in which oxidation state of nitrogen is +5.

(c) What happens when white phosphorus reacts with NaOH in inert atmosphere? Write

the reaction involved.

(d) Which one out of PCl4 + and PCl4 – is not likely to exist, why?

(e) Write the formula of the compound of phosphorus which is obtained when

HNO3(conc.) oxidises phosphorus.

(f) Why does PCl3 fumes in moist air?

(g) What happen when copper sulphate reacts with phosphine gas? Give chemical

equation.

22. Read the given passage and answer the questions that follow: Group 16 elements are

called chalcogens i.e., ore forming elements (oxygen, sulphur, selenium etc.) because most

of the ores are oxides and sulphides. Oxygen is gas where as other elements of group 16 are

solids. Oxygen shows anomalous behaviour. Oxygen is diatomic where is sulphur exists as S8

which has crown shaped structure. It shows allotropy. Sulphur is present in onion and garlic

that is why they have pungent smell. Sulphur is used for manufacture of sulphuric acid

which is called ‘King of chemicals’, used in fertilizer, detergents, dyes and drugs.

(a) Name the most abundant element in the earth crust.

(b) A gas ‘X’ is obtained from roasting of sulphide ore. It turns lime water milky. Identify

the gas and write the chemical reaction involved.

(c) What happens when SO2 gas is reacted with O2 in presence of V2O5 at 770K

temperature and high pressure? Write the chemical reaction involved.

(d) What happens when SO3 is passed through sulphuric acid? Write chemical equation for

the reaction.

(e) Why is SO3 not directly absorbed in water to get sulphuric acid?

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BIOLOGY MULTIPLE CHHOICE QUESTIONS

1. Which of the following cells secrete enzymes to dissolve the nucellus and create an

entry for the male germ cell?

(a)Synergid cell (b) Egg cell

(c) Both a and b (d) Central cell

2. The flower in which the stamens mature first , shedding their pollens before the

stigma are receptive are known as

(a) Protgynous flower (b) Heterostyly flower

(c) Protandrous flower (d) Herkogamy flower

3. True cross pollination is found only in

(a) Bisexual flowers (b) Unisexual flowers

(c) Acyclic flowers (d)Actinomorphic flowers

4. Before fertilization , nuclei of a particular cell fuse and form a diploid nucleus. The

cell is

(a) Antipodal cell (b) Central cell

(c) Egg cell (d) Synergid cell

5. Which one of the following produces both enzymes and hormones?

(a) Endothecium (b) Middle layer

(c) Epidermis (d) Tapetum

6. Ruminate endosperm is found in the seeds of

(a) Compositae (b) Cruciferae

(c) Euphorbiaceae (d) Annonaceae

7. Nutritive role of the embryo sac is attributed to

(a) Synergids (b) Antipodals

(c) Egg cell (d) Polar nuclei

8. When the pollen tube enters through the funiculus or the integument it is called

(a) Porogamy (b) Chalazogamy

(c) Mesogamy (d) Isogamy

9. Polygonum type of embryo sac is

(a) 8-nucleate (b) 16-nucleate

(c) 24-nucleate (d) 32-nucleate

10. Sexual reproduction was discovered in plants by

(a) Camerarius (b) Amici

(c) Strasburger (d) Nawaschin

11. Exine of pollen is made up of

(a) Pectocellulose (b) Lignocellulose

(c) Sporopollenin (d) Pollen kit

12. Pollinia is found in flowers of

(a) Calotropis (b) Vinca

(c) Hibiscus (d) Salvia

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13. Allogamy is favored by

(a) Homogamy (b) Cleistogamy

(c) Monocliny (d) Dicliny

14. When the body of the ovule lies at right angles to the funicle and the micropyle lies

close to the latter, it is termed as

(a) Anatropous (b) Hemianatropous

(c) Campylotropous (d)Amphitropous

15. Meiotic division in an ovule takes place in

(a) Nucellus (b) Megaspore mother cell

(c) Megaspore (d) Archesporium

16. Endosperm is generally

(a) Diploid (b) Triploid

(c) Haploid (d)Polyploidy

17. What is the cotyledon of the maize embryo?

(a) Aleurone layer (b) Scutellum

(c) Plumule (d) Radicle

18. An endosperm having irregular boundaries is termed as

(a) Nuclear (b) Cellular

(c) Helobial (d) Ruminate

19. The largest cell of the embryo sac is

(a) Egg (b) Central cell

(c) Antipodal (d) Synergid

20. Endothecium is responsible for

(a)The nourishment of anther (b) The dehiscence of anther

(c) The formation of pollen grains (d) None of the above

21. Which of the following is a post fertilisation event in flowering plants?

(a)transfer of pollen grain (b)endosperm development

(c)formation of flower (d)formation of pollen grains

22. Select the mismatched pair

(a)microsporangium-pollen sac (b)megasporophyll-stamen

(c)megasporangium-ovule (d)embryo sac-female gametophyte

23. The true embryo develops as a result of fusion of

(a)two polar nuclei of embryo sac (b)egg cell and male gamete

(c)synergid and male gamete (d)male gamete and antipodals

24. How many meiotic divisions are required for the formation of 100 pollen grains

(a)100 ( b)50 (c)25 (d)26

25. Wind pollinated plants generally do not show the following character

(a) Feathery stigma (b) Single ovule in the ovary

(c) Well exposed stamens (d) Flowers are large and colourful

26. Identify the pair of wrong statements in the following

I) Intine of pollen grain is made up of sporopollenin

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II) Pollen grains are well preserved as fossils because of the presence of sporopollenin

III) Enzymes can degrade the organic material of the exine of pollen grain

IV) Sporopollenin can withstand high temperatures, strong acids and alkali

(a) III, IV (b) I, III (c) I, II (d) II,

27. Which one is the correct sequence of gametogenesis

(a)Microspore mother cell, Sporogenous tissue, Pollen grain, microspore

(b)Pollen grain, microspore, microspore mother cell, Sporogenous tissue

(c)Sporogenous tissue, microspore, pollen grain, microspore mother cell

(d)Sporogenous tissue, microspore mother cell, microspore, pollen grain

27. The fleshy edible part of apple is

(a)Thalamus (b)Endosperm

(c)Ovary (d)Nucellus

28. Assertion: 7-celled, 8 nucleate and monosporic embryo sac is called Polygonum type

of embryo sac.

Reason: It was discovered by Hofmeister for the first time in Polygonum.

(a)Both Assertion and Reason are true and Reason is the correct explanation of the Assertion.

(b)Both Assertion and Reason are true but the Reason is not the correct explanations

ofAssertion.

(c)Assertion is true, but Reason is false.

(d)Both Assertion and Reason are false.

29. Transfer of pollen grains from the anther to the stigma of another flower of the same

plant is called

(a)Geitonogamy (b)Xenogamy

(c)Autogamy (d)cleistogamy

30. Match the following ovular structure with post fertilization structure and select the

correct alternative.

A.Ovule1. Endosperm

B.Funiculus2. Aril

C.Nucellus3.Seed

D.Polar nuclei 4.Perisperm

(a)A = 2, B = 3, C = 4, D = 1

(b) A = 2, B = 3, C = 1, D = 4

(c)A = 3, B = 2, C = 4, D = 1

(d) A = 3, B = 2, C = 1, D = 4

31. After fertilization, the fertilized ______ becomes the seed and the ______ becomes

the fruit of the plant.

(a)ovule, ovary (b)ovary, ovule

(c)stamen, pistil (d)pistil, stamen

32. Which of the following is the correct sequence for the pollen tube to eventually reach

the egg in a flowering plant?

(a)stigma, style, ovary, ovule (b)stigma, ovary, ovule, style

(c)style, stigma, ovary, ovule (d)ovary, ovule, stigma, style

33. Match the following.

A. parthenocarpy1.lodoicea

B. poly embryony2.banana

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C. largest seed 3.mango

D. seeds from arctic tundra 4. Lupines

(a)A = 2, B = 3, C = 4, D = 1 (b) A = 2, B = 3, C = 1, D = 4

(c)A = 3, B = 2, C = 4, D = 1 (d)A = 3, B = 2, C = 1, D = 4

34. Apomixis means

(a)Sexual reproduction (b)Formation of seeds without fusion of gametes

(c)Vegetative propagation (d)Formation of seedless fruit

35. Which one undergoes meiosis

(a)PMC (b)Root tips (c)Pollen grain (d)antipodals

36. Which of the following pairs are haploid structures

(a) nucellus and antipodal cells

(b) antipodal cells and egg cell

(c) antipodal cells and megaspore mother cell

(d) nucellus and primary endosperm nucleus

37. What is the collar like outgrowth developing from the base of the ovule and forming a

sort of third integument?

(a)Caruncle (b)Aril (c) perisperm (d)Operculum

38. Which of the following plant is not pollinated by water?

(a)Vallisneria (b)water hyacinth (c)Hydrilla (d)Zostera

39. If an angiospermic male plant is diploid and female plant is tetraploid, the ploidy of

endosperm will be

(a) tetraploid (b) pentaploid

(c) haploid (d) triploid

40. Statement I: Seed is the basis of agriculture.

Statement II: Dehydration and dormancy of mature seed is crucial for storage of seeds.

Statement III: Seeds of rice and wheat remain viable for several years at normal condition.

(a) Statements I and III are correct

(b) All statements are correct

(c) Statements I and II are correct

(d) Statements II and III are correct

Mathematics MULTIPLE CHOICE QUESTIONS

1. Value of 𝑑

𝑑𝑥(sin−1 (

𝑥

3) + cos−1 (

𝑥

3) ) 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

a) 0

b) 1/3

c) 3

d) None of these

2. 𝑑

𝑑𝑥[𝑙𝑜𝑔𝑡𝑎𝑛𝑥]𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

𝑎) 2𝑠𝑒𝑐2𝑥

𝑏) 𝑠𝑒𝑐2𝑥

𝑐) 𝑐𝑜𝑠𝑒𝑐2𝑥

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𝑑) 2𝑐𝑜𝑠𝑒𝑐2𝑥

3. 𝑑

𝑑𝑥[sin−1(𝑐𝑜𝑠𝑥)]𝑖𝑠

𝑎) − 1

𝑏)1

2

𝑐) cos−1 𝑥

𝑑)1

𝑠𝑖𝑛𝑥

4. If f(x)=sin−1 √𝑥 , 𝑡ℎ𝑒𝑛 𝑑𝑖𝑓𝑒𝑛𝑡𝑖𝑎𝑙 𝑐𝑜𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛 𝑓(𝑥) 𝑖𝑠

a) 1

√1−𝑥

𝑏) 1

2√𝑥√1 − 𝑥

𝑐)2

√𝑥√1 − 𝑥

𝑑) −2

√𝑥√1 − 𝑥

5. If f(x)=|x|, then 𝑑

𝑑𝑥[𝑓(𝑥)]𝑎𝑡 𝑥 = 0 𝑖𝑠

a) -1

b) 1

c)±1

d) Does not exist

6. The derivative of tan−1(𝑐𝑜𝑠𝑒𝑐𝑥 + 𝑐𝑜𝑡𝑥)𝑖𝑠 𝑒𝑞𝑎𝑙 𝑡𝑜

a) −1

2

𝑏) − 1

𝑐) 0

𝑑) 2

7. Value of 𝑑(𝑠𝑖𝑛𝑥)

𝑑(𝑐𝑜𝑠2𝑥) 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

𝑎) −1

4cosecx

b) 1

4𝑠𝑖𝑛𝑥

𝑐) − 4𝑠𝑖𝑛𝑥

𝑑) 𝑁𝑜𝑛𝑒 𝑜𝑓 𝑡ℎ𝑠𝑒𝑠

8. If f(x) =log𝑒(1+𝑥2𝑡𝑎𝑛𝑥)

𝑠𝑖𝑛𝑥3 , 𝑥 ≠ 0 𝑖𝑠 𝑡𝑜 𝑏𝑒 𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠 𝑎𝑡 𝑥 =

0 𝑡ℎ𝑒𝑛 𝑓(0)𝑚𝑢𝑠𝑡 𝑏𝑒 define as

a) -1

b) 1

c) ½

d) 0

9. The function f(x)=x|x| is

a) Differentiable only for x>0

b) Differentiable at every point except at x=0

c) Twice differentiable at every point.

d) Twice differentiable at every point except at x=0

10. If y=log𝑒(𝑠𝑖𝑛𝑥), 𝑡ℎ𝑒𝑛 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑑𝑦

𝑑𝑥 𝑖𝑠

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a) Cotx

b) tanx

c) sinx

d) cosx

11. 𝑑

𝑑𝑥[sin−1(𝑠𝑖𝑛2𝑥)]𝑖𝑠

a) -2

b) 1

c) 2

d) None of these

12. 𝑑

𝑑𝑥log(𝑠𝑒𝑐𝑥) 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

a) tanx

b) –tanx

c) tan2x

d) cotx

13. If f(x)={log(1+3𝑥)−log(1−2𝑥)

𝑥, 𝑖𝑓 𝑥 ≠ 0

𝑘 , 𝑖𝑓 𝑥 = 0 𝑖𝑠 𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠 𝑎𝑡 𝑥 =

0, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑘 is

a) 5

b) 1

c) -1

d)-2

14. If y=sin(ax+b) then the value of y2 (at x=-b/a), where a and b are non-zero constants,

is

a) 0

b) -1

c) sin(a-b)

d) sin(a+b)

15. If y=xx, then 𝑑𝑦

𝑑𝑥 𝑎𝑡𝑥 = 1 𝑖𝑠

a) 0

b) 1

c)-1

d) 2

16. The derivative of |x| at x≠ 0 𝑖𝑠

a) 1

b) -1

c) 0

d) ±1

17. The derivative of y if y=√𝑥 + 𝑦 is

𝑎) 1

𝑦−1

b) 𝑦

𝑦−1

c)−1

𝑦−1

d) none

18. The derivative of log𝑥 𝑥 𝑖𝑠

a) 0

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b) 1

c) -1

d) 1/x

19. The function f(x)=|x|+|x-1| is

a) Continuous at x=0 as well as x=1

b) Continuous at x=1 but not at x=0

c) Discontinuous at x=0 as well as at x=1

d) Continuous at x=0 but not as x=1

20. The value of c in Mean value theorem for the function f(x)=x(x-2),x∈ [1,2]𝑖𝑠

a) 3/2

b) 2/3

c) ½

d) -3/2

21. If u=sin−1 (2𝑥

1+𝑥2) 𝑎𝑛𝑑 𝑣 = tan−1 (2𝑥

1−𝑥2) 𝑡ℎ𝑒𝑛 𝑑𝑢

𝑑𝑣 𝑖𝑠

a) ½

b) x

c)1−𝑥2

1+𝑥2

d) 1

22. If y=𝑒𝑥+𝑒𝑥+𝑒𝑥±−−−−− then

𝑑𝑦

𝑑𝑥 𝑖𝑠

a) 1/1-y

b) y/1-y

c) 2y/1-y

d) None

23. If y=tan−1 (𝑎𝑐𝑜𝑠𝑥−𝑏𝑠𝑖𝑛𝑥

𝑏𝑐𝑜𝑠𝑥+𝑎𝑠𝑖𝑛𝑥) , 𝑡ℎ𝑒𝑛

𝑑𝑦

𝑑𝑥 𝑖𝑠

𝑎) 1

1 + 𝑥2

𝑏) 1

√1 − 𝑥2

𝑐) − 1

𝑑) 𝑁𝑜𝑛𝑒

24. The derivative of sin−1 (1−𝑥2

1+𝑥2) 𝑤. 𝑟. 𝑡. 𝑥 𝑖𝑠

𝑎) −2

1+𝑥2

𝑏) 2

1+𝑥2

𝑐) 1

2+𝑥2

d) None

25. Differentiation of sin−1 (1−𝑥

1+𝑥) 𝑤. 𝑟. 𝑡. √𝑥 𝑖𝑠

𝑎) 1

1+𝑥

b) −2

1+𝑥

c) 1

1+𝑥2

𝑑) 𝑁𝑜𝑛𝑒

26. 𝑑

𝑑𝑥[cos−1 𝑥+𝑥−1

𝑥−𝑥−1] 𝑖𝑠

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𝑎) 1

1+𝑥2

b) 2

1+𝑥2

c) −1

1+𝑥2

d) None

27. 𝑑

𝑑𝑥[sin−1 𝑥 + sin−1 √1 − 𝑥2]𝑖𝑠

𝑎) 1

√1−𝑥2

b) 𝑥

√1−𝑥2

c) 0

d) None

28. The derivative of sin−1 𝑥 𝑤. 𝑟. 𝑡. cos−1 √1 − 𝑥2 𝑖𝑠

a) 1

1−𝑥2

b) cos−1 𝑥

c) 1

d) None

29. If √1 − 𝑥2 + √1 − 𝑦2 = 16(𝑥 − 𝑦), 𝑡ℎ𝑒𝑛 𝑑𝑦

𝑑𝑥 𝑖𝑠

𝑎) √1 − 𝑦2

1 − 𝑥2

𝑏)√1 − 𝑥2

1 − 𝑦2

𝑐) √(1 − 𝑥2)(1 − 𝑦2)

𝑑) 𝑁𝑜𝑛𝑒

30. If𝑥𝑦 = 𝑒𝑥−𝑦, 𝑡ℎ𝑒𝑛 𝑑𝑦

𝑑𝑥 𝑖𝑠

𝑎) 𝑙𝑜𝑔𝑥

(1 + 𝑙𝑜𝑔𝑥)2

𝑏) 𝑥 − 𝑦

(1 + 𝑙𝑜𝑔𝑥)2

𝑐)𝑥 + 𝑦

(1 + 𝑙𝑜𝑔𝑥)2

𝑑) 1

(1 + 𝑙𝑜𝑔𝑥)

31. Y=𝑙𝑜𝑔𝑥

𝑙𝑜𝑔𝑦 𝑡ℎ𝑒𝑛

𝑑𝑦

𝑑𝑥𝑖𝑠

a) 1

𝑥+𝑙𝑜𝑔𝑦

𝑏) 1

𝑙𝑜𝑔𝑥 + 𝑦𝑙𝑜𝑔𝑥

𝑐)1

𝑥 + 𝑥𝑙𝑜𝑔𝑥

𝑑) 1

𝑦 + 𝑙𝑜𝑔𝑥

32. If f(x)=𝑥1

𝑥⁄ , 𝑡ℎ𝑒𝑛 𝑓 ′′(𝑒) 𝑖𝑠

𝑎) 𝑒1

𝑒⁄

12 | P a g e

𝑏)𝑒1

𝑒⁄ − 2

𝑐) 21

𝑒−3

𝑑) 𝑁𝑜𝑛𝑒

33. If x=Acos4t+Bsin4t, then 𝑑2𝑦

𝑑𝑥2 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

a) –x

b) x

c) -16x

d) 16x

34. If f(x)=xtan−1 𝑥 , 𝑡ℎ𝑒𝑛 𝑓 ′(1) 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

𝑎) −1

2−

𝜋

4

𝑏) −1

2+

𝜋

4

𝑐)1

2−

𝜋

4

𝑑) 1

2+

𝜋

4

35. If y=log𝑒(log𝑒 𝑥), 𝑡ℎ𝑒𝑛 𝑒𝑦 𝑑𝑦

𝑑𝑥 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

𝑎) 𝑒𝑦

b) 1

𝑥

𝑐)1

𝑙𝑜𝑔𝑥

𝑑)1

𝑥𝑙𝑜𝑔𝑥

36. If y=sin−1 𝑥, then (1-𝑥2)𝑑2𝑦

𝑑𝑥2 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

a) X(𝑑𝑦

𝑑𝑥)

2

𝑏) 𝑥𝑑𝑦

𝑑𝑥

𝑐) − 𝑥𝑑𝑦

𝑑𝑥

𝑑) 0

37. 𝑑

𝑑𝑥{sec−1 𝑒2𝑥} 𝑖𝑠 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜

a) 1

√1−𝑒4𝑥

b) −1

√1−𝑒4𝑥

c) 2

√𝑒4𝑥−1

d) 2

𝑒2𝑥√𝑒4𝑥−1

39. Derivative of x4 w.r.t. x2 is

a) −2

𝑥2

𝑏) − 2𝑥2

𝑐) 2

𝑥2

d) 2x2

40. Derivative of sin−1 𝑥 w.r.t. cos−1 𝑥 is

13 | P a g e

a) 0

b) 1

c) -1

d) None of these

Fill in the blanks in each of the following

41. An example of a function which is continuous everywhere but fails to be

differentiable exactly at two points is _______

42. Derivative of x2 w.r.t. x3 is________

43. If f(x)=|cosx|, then f’(𝜋

4)=__________

44. If f(x)=|cosx-sinx|, then f’(𝜋

3)=___________

45. For the curve √𝑥 + √𝑦=1, 𝑑𝑦

𝑑𝑥 𝑎𝑡 (

1

4,

1

4) 𝑖𝑠 _________

State whether the following statements are True or False:

46. Rolle’s theorem is applicable for the function f(x)=|x-1| on [0,2]

47. If f is continuous on its donmain D then |f| is also continuous on D.

48. The composition of two continuous function is a continuous function

49. Trigonometric and inverse-trigonometric functions are differentiable in their

respective domain.

50. If f.g is continuous at x=a then f and g are separately continuous at x=a.

(INFORMATICS PRACTICES)

UNIT: PANDAS

Q.1. Write Stmt to print those rows whose Age is above 35

a) df.loc[df.Age>35,:]

b) df.query(‘Age>35’)

c) df[df.Ag

e>35]

d) All of

these

Q.2 #Select flights details of JetBlue Airways that has 2 letters carrier code B6 with

origin from JFK airport

a) print(df[(df.origin == "JFK") & (df.carrier == "B6")])

b) newdf = df.query('origin == "JFK" & carrier == "B6"')#query way

c) print(df.loc[(df.origin == "JFK") & (df.carrier ==

"B6")])

d) All of

14 | P a g e

these

Q.3. #selecting first five rows of two columns named origin and dest.

a) df.loc[df.index[0:5],["origin","dest"]]

b) df.iloc[df.index[0:5],["origin","dest"]]

c) df.loc[1:5,["origin","dest"]]

d) None of these

Q.4 #include all the flight details where origin is either JFK or LGA

a) df.loc[(df.origin == "JFK") | (df.origin == "LGA")]

b) df[df.origin.isin(["JFK", "LGA"])]

c) df.query(‘origin==”JFK” | origin==”LGA”’) d) All of

these

Q.5. #we are accessing all the flight details where origin is not from JFK but Carrier is

B6

!= implies NOT EQUAL TO.

a) Df.loc[((df.origin != "JFK") & (df.carrier == "B6")]

b) df[~((df.origin == "JFK") & (df.carrier == "B6"))]

c) Both A and B

None of these

Consider the following Dataframes:

df

TOYS BOOKS UNIFORM SHOES

ANDHRA 7916 6189 610 8810

ODISHA 8508 8208 508 6798

M.P. 7226 6149 611 9611

U.P. 7617 6157 457 6457

df1

POPULATION HOSPITALS SCHOOLS

DELHI 10927986 189 7916

MUMBAI 12691836 208 8508

KOLKATA 4631392 149 7226

CHENNAI 4328063 157 7617

Q.6 Write stmt to display Shoes only

15 | P a g e

a) df.SHOES

b) df[‘SHOES’]

c) df(‘SHOES’)

d) Both a and b

Q.7. Display all column details of state DELHI #Accessing selective Rows

a) df1.loc[‘Delhi’,:]

b) df1.iloc[0,:]

c) Both a andB

d) None of these

Q.8 To display first three elements of a Series object S,you may write

(a) S[:3]

(b) S[3]

(c) S[3rd]

(d) all of these

Q9.To display last five rows of a Series object S, you may write

(a) head()

(b) head(5)

(c) tail

(d) tail(5)

Q10. Missing data in Pandas object is represented through

(a) Null

(b) None

(c) missing

(d) NaN

Q11. Given a Pandas series called Sequences, the command which will display the first 4

rows is_.

(a) print(Sequences.head(4))

(b) (b) print(Sequences.Head(4))

(c) print (Sequences.heads (4)

16 | P a g e

(d) print(Sequences.Heads(4))

Q.13. If a Dataframe is created using a 2D dictionary, then the indexes or row labels are

formed from___________.

(a) dictionary's values

(b) inner dictionary keys

(c) outer dictionary's keys

(d) None of these

Q.14. If a dataframe is created using a 2D dictionary, then the column

(a) dictionary's values (b) inner dictionary keys

(c) outer dictionary's keys

(d) None of these

Q.15. The axis 0 identifies a dataframe's _________

(a) rows

(b) columns

(c) values

(d) data types

Q.16. The axis 1 identifies a dataframe's _

(a) rows

(b) columns

(c) values

(d) data types

Q17. To get the number of elements in a dataframe,______ attribute may be used.

(a) size

(b) shape

(c) values

(d) ndim

Q.18. To get NumPy representation of a dataframe,______ attribute may be used

(a) size

(b) shape

(c) values

(d) ndim

17 | P a g e

Q19. To get a number representing number of axes in a dataframe,______ attribute may be

(a) size

(b) shape

(c) values

(d) ndim

Q.20. To get the transpose of a dataframe D1, you can write______

(a) D1.T

(b) D1.Transpose

(c) D1.Swap

(d) All of these

Q.21. To extract row/column from a dataframe, _function may be used.

(a) row()

(b) column()

(c) loc()

(d) All of these

Q.22. To display the 3rd, 4th and 5th columns from the 6th to 9th rows of a

(a) DF.loc[6:9, 3:5]

(b) DF.loc[6:10, 3:6]

(c) DF.iloc[6:10, 3:6]

(d)DF.iloc[6:9,3:5]

Q23. To change the 5th column's value at 3rd row as 35 in dataframe DF,you can write

(a) DF[4, 6) = 35

(b) DF[3,5) = 35

(c)DE.iat|4 61 = 35

(d) DF.iat[4, 6] –

Q24. Which among the following options can be used to create a Data frame in pandas?

(a) A scalar value

(b) An ndarray

(c)Python Dict

18 | P a g e

(d) All of these

Q.25. Identify the correct statement :

(a)The standard marker for missing data in Pandas is NaN.

(b) Series act in a way similar to that of an array

(c) Both (a) and (b)

(d) None of these

Q.2 6. Consider the following DataFrame df and answer the following questions from (i)- (v)

rollno Name UT1 UT2 UT3 UT4

1 Prerna Singh 24 24 20 22

2 Manish Arora 18 17 19 22

3 Tanish Goel 20 22 18 24

4 Falguni Jain 22 20 24 20

5 Kanika Bhatnagar 15 20 18 22

6 Ramandeep Kaur 20 15 22 24

(i)Write down the command that will give the following output.

Rollno 6

Name Tanish Goel

UT1 24

UT2 24

UT3 24

UT4 24

dtype: Object

a. print(df.max)

b. print(df.max())

c. print(df.max(axis=1))

d. print(df.max, axis=1)

(ii)The teacher needs to know the marks scored by the student with roll number 4. Help her to identify the correct set of statement/s from the given options :

a. df1=df[df[‘rollno’]==4]

print(df1)df1 b. df1=df[rollno==4] print(df1)

c. df1=df[df.rollno=4]

print(df1)

d. df1=df[df.rollno==4]

print(df1)

(iii)Which of the following statement/s will give the exact number of values in each column of the dataframe?

i. print(df.count())

ii. print(df.count(0))

19 | P a g e

iii. print(df.count)

iv. print(df.count(axis=’index’))

Choose the correct option:

a. both (i) and (ii)

b. only (ii)

c. (i), (ii) and (iii)

e. (i), (ii) and (iv)

(iv)Which of the following command will display the column labels of the DataFrame?

a. print(df.columns())

b. print(df.column())

c. print(df.column)

d. print(df.columns)

(v)Ms. Sharma, the class teacher wants to add a new column, the scores of Grade

with the values, ‘ A’, ‘B’, ‘A’, ‘A’, ‘B’, ‘A’

choose the command to do so:

a. df.column=[’A’,’B’,’A’,’A’,’B’,’A’]

b. df [‘Grade’]=[’A’,’B’,’A’,’A’,’B’,’A’]

c. df.loc[‘Grade’]= [’A’,’B’,’A’,’A’,’B’,’A’]

d. Both (b) and (c) are correct

Q.27. C onsider the foll

owing Da

rolln

o

taFrame df and

answ Name

er any

qu UT1

estions fr

UT2

om (i) – (

UT3

v)

UT4

0 1 Pratima Sinha 29 30 19 20 1 2 Manoj Gupta 20 18 18 24 2 3 Tathagata Patra 18 22 20 20 2 4 Firoz Khan 22 23 27 22 4 5 Kirti Rani 15 24 29 21 5 6 Raman Kumar 21 15 23 30 6 7 Bineet Banerjee 28 16 24 33

(i) Select the options from the command that will give the following ouput:

Roll No 7

Name Tathagata Patra

UT1 29

UT2 30

UT3 29

UT4 33

20 | P a g e

dtype: object

(a) print(df.max)

(b) print(df.max())

(c) print(df.max(axis is=1))

(d) print(df.max, axis=1)

(ii) The teacher needs to know the marks scored by the student with roll number 7.

Help him/her to identify the correct set of statements from the given options (More

than one option may be correct):

(a) df1=df [roll no = =7]

print (df1)

(b) df1=df [df [‘rollno’] = =7 ]

print (df1)

(c) df1=df [ df.rollno = = 7 ]

print (df1)

(d) df1=df [rollno.df = =7 ]

print (df1)

(iii) Which of the following statement/s will give the exact number of values in

each column of the data frame?

(i) print( df.count( ) )

(ii) print( df.count(0) )

(iii) print(df.count)

(iv) print(df.count(axis = ‘index’))

Choose the correct option:

(a) both (i) and (ii)

(b) only (ii)

(c) (i), (ii) and (iii)

(d) (i), (ii) and (iv) (iv) Which of the following command will display the column labels of the DataFrame?

(a) print( df.columns( ))

(b) print( df.column)

(c) print( df.columns)

(d) print( df.column( )) (v) A student Neeraj wants to add a new column, the score of Grade with the values

‘B1’, ‘B2’, ‘A2’, ‘B2’, ‘B1’, ‘A1’ , ‘A1’ to the DataFrame. Help him choose the command

to do so:

(a) df[‘Grade’] = [‘B1’, ‘B2’, ‘A2’, ‘B2’, ‘B1’, ‘A1’ , ‘A1’]

(b) df.column = [‘B1’, ‘B2’, ‘A2’, ‘B2’, ‘B1’, ‘A1’ , ‘A1’]

(c) df.loc[‘Grade’] = [‘B1’, ‘B2’, ‘A2’, ‘B2’, ‘B1’, ‘A1’ , ‘A1’]

(d) both b and c are correct.

Q.28. Given a data frame df as shown below---

21 | P a g e

a. Write command to compute rename the indexes as code of the countries USA, SPA,

ITA, UK, FR, GER.

b. Add a column capital =['Washington', 'Madrid', 'Rome', 'Londan', 'Paris', 'Berlin']

c. Write command to compute median of the deaths Column.

d. Write command to print first three rows.

e. Write command to drop column Region

Q29. Consider the following Dataframe named happy_df created using following

command happy_df=pd.read_csv("Dataset3.csv")

(i) Complete the following command to display first five rows of the above

Dataframe.

print(happy_df.iloc[ : ]

(ii) Write the command to display number of rows and columns of the above

Dataframe.

(a) print(happy_df.row,happy_df.columns)

(b) print(happy_df.shape())

(c) print(happy_df.shape)

(iii) Which command(s) of the following would display only Region column of the

above

Dataframe.

Country Region Happiness Rank

Happiness Score

Family

Switzerland Western Europe 1 7.587 1.34951

Iceland Western Europe 2 7.561 1.40223 Denmark Western Europe 3 7.527 1.36058

Norway Western Europe 4 7.522 1.33095 Canada North America 5 7.427 1.32261 Finland Western Europe 6 7.406 1.31826

Netherlands Western Europe 7 7.378 1.28017 Sweden Western Europe 8 7.364 1.28907

New Zealand Australia and New Zealand 9 7.286 1.31967 Australia Australia and New Zealand 10 7.284 1.30923

22 | P a g e

(a) print(happy_df.Region)

(b) print(happy_df.iloc[,’Region’]

(c) print(happy_df.iloc[ : ,’Region’]

(d) print(happy_df.iloc[:,1])

(iv) What will be the output of the following command?

print(happy_df.loc[4:6,'Country'])

(v) Which of the following commands would display maximum value of every

column?

(a) print(happy_df.max)

(b) print(happy_df.max())

(c) print(happy_df.max(axis=1))

(d) print(happy_df.max, axis=1)

Q.30. Consider the following DataFrame Gr and answer any four questions from (i)- (v)

Name Grade

0 Aamir Khan A1

1 Nuzut A2

2 Ishrar B1

3 Shahid A1

4 Furkan B2

5 Fatima A2

6 Rashid A1

(i) Write down the command that will give the following output.

Name Grade

0 Aamir Khan A1

1 Nuzut A2

2 Ishrar B1

3 Shahid A1

4 Furkan B2

a. print(Gr.iloc[0:5])

b. print(Gr[0:5])

c. Both

d. None

(ii) The teacher needs to add a column called Percentage with the following data

:[92,89,None,95,68,None,93]. Help her to identify the correct set of statement/s from the

given options :

a. Gr.column[‘Percentage’]=[92,89,None, 95,68,None ,93]

b. Gr[‘ Percentage’]=[92,89,None, 95,68,None ,93]

c. Gr.loc[‘Percentage’]= [92,89,None,95,68,None,93]

d. Both (b) and (c) are correct

(iii) Which of the following statement/s will drop the column Grade by name?

a. Gr.drop(‘Grade’)

b. Gr.drop(‘Grade’, axis=1)

c. Both d. None of the above

(iv) Which of the following command will display the column labels of the DataFrame?

23 | P a g e

a. print(Gr.columns())

b. print(Gr.column())

c. print(Gr.column)

d. print(Gr.columns)

(v) The class teacher wants to delete the first row. Help her choose the command to do so:

a. Gr.drop(0, axis =0)

b. Gr.drop(0,axis=”index”)

c. Gr. drop([0,1,2], axis=0)

d. Both (a) and (b) are correct

COMPUTER SCIENCE

Multiple Choice Questions

Chapter:Python Revision tour

1. Which of the following is an invalid variable ?

(a) my_day_2

(b) 2nd_day

(c) Day_two

d)_2

2. Which of the following is not a keyword ?

(a) eval

(b) assert

(c) nonlocal

(d) pass

3. Which of the following cannot be a variable ?

(a) __init_

(b) in

(c) it

(d)on

4. Which of these is not a core data type ?

(a) Lists

(b) Dictionary

(c) Tuples

(d)class

5. How would you write x in Python as an expression ? (a) x^y

(b) x**y

(c) x^^y

(d)none of these

6. What will be the value of the expression ?

14+ 13 % 15

(a) 14

(b) 27

(c) 12

(d) 0

24 | P a g e

7.Evaluate the expression given below if A=16 and B=15.

A%B//A

(a) 0.0

(b) 0

(c) 1.0

(d) 1

8.What is the value of x?

X= int(13.254/2)

a) 17

b) 14

c) 15

d) 23

9.The expression 8/4/2 will evaluate equivalent to which of the following expressions:

a)8/(4/2)

b)(8/4)/2

10.Which among the following list of operators has the highest precedence?

+,-,**,%,/,<<,>>,I

a)<<,>>

b)**

c)I

d)%

11.Which among the following expressions results in an error?

a)float(‘12’)

b)int(‘12’)

c)float(‘12.5’)

d)int(’12.5’)

12.Which of the following statement prints the shown output below?

hello\example\test.txt

a)print(“hello\example\test.txt”)

b)print(“ hello\\example\\test.txt”)

c) print(“ hello\”example\”test.txt”)

d) print(“ hello”\example”\test.txt”)

13. Which value type does input return?

(a) Boolean

(b) String

(c)int

(d)float

14. Which two operators can be used on numeric values in python?

a) @

b)%

c)+

d)#

15. Which of the following four code fragments will yield following output?

Eina

Mina

Dika

Select all of the function calls that result in this output a)print(‘’’Eina

25 | P a g e

\nMina \nDika’’’)

b)print(‘’’EinaMinaDika’’’)

c)print('Eina\Mina indika')

(d) print('Eina

Mina

Dika’)

16. Which of the following is valid arithmetic operator in Python:

(a)//

(b) ?

(c)<

(d) and

17. The numbered position of a letter in a string is called

(a) position

(b) integer position

(c) index

(d)location

18.The operator_____ tells if an element is present in a sequence or not.

(a) exists

(b) in

(c) into

(d) inside

19. The keys of a dictionary must be of__types.

(a) integer

(b) mutable

(c) immutable

(d) any of these

20. Following set of commands is executed in shell, what will be the output ?

>>>str = "hello"

>>>str[:2]

>>>

(a) he

(b) lo

(c) olleh

(d) hello

21. What data type is the object below ?

L = [1, 23, 'hello', 1]

(a) list

(b) dictionary

(c) array

(d) tuple

22. What data type is the object below?

L=1, 23, 'hello', 1

(a) list

(b) dictionary

(c) array

(d) tuple

26 | P a g e

23. To store values in terms of key and value, what core data type does Python provide?

(a) list

(b) tuple

(c) class

(d) dictionary

24. What is the value of the following expression?

3+3.00, 3**3.0

(a) (6.0, 27.0)

(b) (6.0, 9.00)

(c) (6,27)

(d) [6.0, 27.0]

25. List AL is defined as follows:

AL = [1, 2, 3, 4, 5] Which of the followin [1, 2, 4,5] ?

(a) del a[2]

(b) 2(2:3) = []

(c)a[2:2]=[]

(d) a[2] =[]

(e) a.remove(3)

26.Which two lines of code are valid strings in Python ?

(a) This is a string

(b) 'This is a string

(c) (This is a string)

(d) “This is a string"

27. You have the following code segment :

String1 = "my"

String2 = "work"

print(String1 + String2)

What is the output of this code ?

(a) my work

(b) work

(c) myWork

(d) my

28. You have the following code segment :

String1 = "my"

String2 = "work"

print(String1 + String2. upper()).

What is the output of this code ?

(a) mywork

(b) MY Work

(c) myWORK

(d) My Work

29. Which line of code produces an error ?

(a) “one” + 'two'

(b) 1 + 2

(c) "one" + "2"

(d) '1' + 2

27 | P a g e

30. What is the output of this code ?

>>> int("3" + "4")

a) "7"

(b) "34"

(c) 34

(d) 24

31. Which line of code will cause an error ?

1. num = [5, 4, 3, [2], 1]

2. print(num[@])

3. print(num[3][0])

4. print(num[5])

(a) Line 3

(b) Line 2

(c) Line 4

(d) Line 1

32. Which is the correct form of declaration of dictionary?

(a) Day = {1:'Monday, 2:'Tuesday, 3:'wednesday')

(b) Day = {1;'Monday', 2;'Tuesday', 3;'wednesday'}

(c) Day = [1:'Monday', 2:'Tuesday, 3:'wednesday']

(d) Day = {1'monday', 2'tuesday, 3'wednesday')

33. Identify the valid declaration of L:

L = ['Mon', '23', 'hello', '60.5']

(a) dictionary

(b) string

(c) tuple

(d) list

34. Suppose a tuple T is declared as T = (10, 12, 43, 39), which of the following is incorrect ?

(a) print(1[1])

(b) T[2] = -29

(c) print(max(T))

(d) print(len(T))

PHYSICS

MULTIPLE CHOICE QUESTIONS

1. Kirchhoff’s II law for the electric network is based on:

(a) Law of conservation of charge

(b) Law of conservation of energy

(c) Law of conservation of angular momentum

(d) Law of conservation of mass

2. A cell of emf E and internal resistance r is connected across an external resistor R.

The graph showing the variation of P.D. across R versus R

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3. We use alloy for making of resistors, because they have :

Temp. coefficient Resistivity

(a) Low Low

(b) High High

(c) High Low

(d) Low High

4. Determine the electric current through branch BD of the electric network:

(a) 0.6 amp (b) 0 amp

(c) 1 amp (d) 10 amp

5. WSB experiment is most sensitive, when:

(a) All four resistances are approximately equal

(b) One of the resistances is very high as compare to others

(c) One of the resistances is very low as compare to others

(d) Any two resistances are equal to infinity.

6. In a Whetstone’s bridge, all the four arms have equal resistance R. If resistance of

the galvanometer arm is also R, then equivalent resistance of the combination is

(a) R (b) 2R

(c) R

(d) R

7. The resistance of a metallic conductor increases due to

a. Change in dimensions of the conductor

b. Change in carrier density

c. Increase in the number of collisions between the carriers

d. Increase in the rate of collisions between the carriers and vibrating atoms of

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the conductor

8. The wire of the potentiometer has resistance 4 ohms and length 1 m. It is

connected to a cell of e.m.f. 2 volts and internal resistance 1 ohm. The p.d. across

the potentiometer wire is:

(a) 1.2 V

(b) 1.6 V

(c) 0.8 V

(d) 2.0 V

9. According to Kirchhoff’s Loop Rule

(a) The absolute sum of changes in potential around any closed loop must be zero.

(b) The algebraic sum of changes in potential around any closed loop must be zero.

(c) The algebraic sum of changes in potential around any closed loop

must be positive.

(d) The algebraic sum of changes in potential around any closed loop must be

negative

10. In the figure, when an ideal voltmeter is connected across 4000 ohm resistance, it

reads 30 volts. If the voltmeter is connected across 3000 ohms resistance. It will

read

(a) 22.5 volt

(b) 40 volt

(c) 35 volt

(d) 20 volt

11. An ammeter together with an unknown resistance in series is connected across

two identical batteries each of emf 1.5 V. When the batteries are connected in

series, the galvanometer records a current of 1A and when the batteries are

in parallel, the current is 0.6A. What is the internal resistance of each battery?

a.

b.

c.

d.

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12. Magnetic moment of a single-turn current loop of aluminum wire of area A,

carrying a current I in a wire of diameter d is

(a) IAd

(b) μIA

(c) IA/d

(d) IA

13. A wire of length L carrying current i is placed perpendicular to the

magnetic induction B. The total force on the wire is

(a) LB/i

(b) iL/B

(c) iLB

(d) iB/L

14. According to Ampere's circuital law

a

b

c

d

15. The magnetic field at the centre of the circular coil of radius 1 cm and

carrying current of 4 A is

a.

b.

c.

d.

VERY SHORT TYPE QUESTIONS

16. Given any two limitations of Ohm’s law. 17. Why should the area of cross section of the meter bridge wire be uniform?

Explain.

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18. Why should the jockey be not rubbed against potentiometer wire? 19. What is meant by the sensitivity of a potentiometer of any given length? 20. Define specific resistance. Write its SI unit. 21. State the principle of potentiometer. 22. Electron drift speed is estimated to be only a few mm/s for currents in the range

of few amperes? How then is current established almost the instant a circuit is closed

23. Plot a graph showing a variation of current versus voltage for the material GaAs. 24. Define conductivity of a substance. Give its SI units. How does it vary with

temperature for (i) Copper (ii) Silicon? 25. Define drift velocity. Write its formula. 26. Why the core of moving coil galvanometers is made of soft iron?

27. Write S.I. unit of (i) Pole strength and (ii) Magnetic dipole moment.

28. What is the principle of a moving coil galvanometer?

29. What is the direction of magnetic dipole moment?

30. Is any work done on a moving charge by a magnetic field?

31. Sketch the magnetic field lines for a current carrying circular loop

32. An electron beam projected along + x-axis, experiences a forces due to a magnetic field

along the + y-axis. What is the direction of the magnetic field?

33. What will be the path of a charged particle moving along the direction of a uniform

magnetic field?

NUMERICALS PROBLEMS AND LONG ASNWER TYPE QUESTION

34. I-V graph for a metallic wire at two different temperatures T1 and T2 is as shown in

the

Figure below. Which of the two temperature is lower and why?

35. A wire of resistance 16 ohm is bent in the form of a circle. What is the effective resistance between the ends of a diameter AB?

36. Define mobility of electron in a conductor. How does electron mobility changes When (i) temperature of conductor is decreased (ii) Applied potential difference is Doubled at constant temperature?

37. If the emf of the driving cell be decreased. What will be effect on the position of

zero deflection in a potentiometer?

38. State the principle of potentiometer. Draw circuit diagram used to compare the

emf of two primary cells. Write the formula used.

39. State Kirchhoff’s rules for electrical networks. Use them to explain the principle

of wheatstone bridge for determining an unknown resistance. How is it realized in

actual practice in the laboratory? State the formula used.

40. Define emf and terminal potential difference of a cell. When is the terminal

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charging potertial difference greater than emf? Explain how emf and terminal

potential difference can be compared using a potentiometer and hence determine

internal resistance of the cell.

41. Derive an expression for drift velocity of the electron in conductor. Hence deduce

ohm’s law.

42. State the principle of potentiometer. How can it be used to:

a) Compare e.m.f of two cells

b) Measure internal resistance of a cell?

Assertion (A) & Reason(R)

Two statements are given-one labelled Assertion (A) and the other

labelled Reason (R). Select the correct answer to these questions from

the codes (a), (b), (c) and (d) as given below.

(a) Both A and R are true and R is the correct explanation of A

(b) Both A and R are true but R is not the correct explanation of A

(c) A is true but R is false

(d) A is false and R is also false

1. Assertion(A):

The centripetal force on the test charge qo is qo vB, where v is the velocity of a particle and

B is the magnetic field.

Reason (R):

When a charged particle is fired at right angles to the magnetic field, the radius of its

circular path is directly proportional to the kinetic energy of the particle.

2. Assertion (A):

Magnetic field due to an infinite straight conductor varies inversely as the distance from it.

Reason (R):

The magnetic field due to a straight conductor is in the form of concentric circles

3. Assertion (A):

A rectangular current loop is in an arbitrary orientation in an external uniform magnetic

field. No work is required to rotate the loop about an axis perpendicular to the plane of

loop

Reason (R):

All positions represent the same level of energy.

4. Assertion (A): The magnitude of magnetic field in a region is equal to the number of magnetic field lines

per unit area where area should be normal to the field.

Reason (R):

Magnetic field is tangential to a magnetic field line.

5. Assertion (A): A charged particle is moving in a circular path under the action of a uniform magnetic

field. During the motion, kinetic energy of the charged particle is constant. Reason (R):

During the motion, magnetic force acting on the particle is perpendicular to instantaneous

velocity.

6. Assertion (A): When radius of a circular loop carrying current is doubled, its magnetic moment becomes

33 | P a g e

four times.

Reason (R):

Magnetic moment depends on the area of the loop.

7. Assertion (A): The magnetic field at the ends of a very long current carrying solenoid is half of that at

the centre.

Reason (R):

If the solenoid is sufficiently long, the field within it is uniform.

8. Assertion (A): If an electron and proton enter a magnetic field with equal momentum, then the paths of

both of them will be equally curved.

Reason (R):

The magnitude of charge on an electron is same as that on a proton.

9. Assertion (A): The coils of a spring come close to each other, when current is passed through it.

Reason (R):

It is because, the coils of a spring carry current in the same direction and hence attract

each other.

10. Assertion (A): The true geographic north direction is found by using a compass needle.

Reason (R):

The magnetic meridian of the earth is along the axis of rotation of the earth.

PHYSICAL EDUCATION

A. Objective Type/Multiple Choice Questions (MCQs)

1. State whether the following statements are True or False.

Q.01. Health is 20% nutrition and 80% exercise.

Q.02.Fat is not an essential nutrient.

Q.03.We need vitamins and minerals on a daily basis in minute quantities.

Q.04. Healthy weight is different for different people.

Q.05. Food intolerance and food allergy are the same.

2. Fill in the blanks.

Q.06. Food intolerance is specific to a________ food.

Q.07. ______ is important to build muscles.

Q.08. Energy is the most important function of__________.

Q.09. Vitamin B Complex is made up of____________ different vitamins.

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Q.10. Vitamins are soluble in water and ____________.

3. Tick the correct option.

Q.11. Nutrients are divided into ... groups.

(i) 2 (ii) 6

(iii) 4 (iv) 3

Q.12. Energy in food comes from... .

(i) Proteins/carbohydrates/fats (iii) Water and fibre

(ii) Vitamins (iv) Minerals

Q.13. Chicken, fish, meat and eggs are main source in food of:

(i) Fats (ii) Carbohydrates

(iii) Proteins (iv) Fibre

Q.14. As components of human diet, water, fibre and phytonutrients are…

(i) Non-nutritive (ii) Nutritive

(iii) Calorie-rich (iv) Protein- rich

Q.15. A healthy BMI for Indians is ...

(i) Between 28 and 30 (iii) Between 18 and 23

(ii) Between 25 and 28 (iv) Less than 18

Q.16. Good fat loss per week for an average person is .. .

(i) 250 grams (ii) 500 grams

(iii) 750 grams (iv) 1000 grams

Q.17.The most accurate method to measure body weight and health condition to assess

overweight is…….

(i) BMI (ii) Waist circumference

(iii) Body composition monitors (iv) Height-Weight charts

Q.18. Hair and nails are mostly made up of...

(i) Fats (ii) Proteins

(iii) Fibre (iv) Carbohydrates

Q.19. Glucose energy is stored mostly as....

(i) Fat (ii) Glycogen

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(iii) Sucrose (iv) Fibre

Q.18. The largest mineral in the human body is...

(i) Iron (ii) Zinc

(iii) Calcium (iv) Magnesium

B. Short Answer Questions carrying 3 marks each (80-90 words)

Q.19. Explain in brief a balanced diet.

Q.20. Name the basic elements of diet.

Q.21.What is the difference between food allergy and food intolerance?

Q.22. Give three examples of food myths.

Q.23. List three non-nutritive food components.

Q.24. Briefly explain about vitamins.

Q.25. Discuss in brief water-soluble vitamins.

Q.26. Briefly write the difference between macro and micro nutrients.

Q.27. Briefly explain the importance of water.

Q.28. Why is protein important in food?

Q.29. What role does fat play in our food?

Q.30. What are the pitfalls of dieting?

Q.31. Explain ways to maintain a healthy body weight to lead a healthy life.

Q.32. Describe the various nutritive components of diet.

Q.33. Describe the role of micronutrients in our diet.

Q.34.What are non-nutritive components of food and why are they important?

Q.35. Explain briefly the concept of healthy body weight and its importance.

Q.36. Why is hydration important for sportspersons? Explain.

Q.37. Define the role of nutrition in a healthy body.