Injso Mock Test Paper 1

FIITJEE

COMPETITIVE POTENTIAL ASSESSMENT TEST

INJSO (PAPER-1)

INDIAN NATIONAL JUNIOR SCIENCE OLYMPIAD TIME : 3 HOURS

MAX. MARKS : 100

Instructions :

1.

There are two sections in this paper. Section A and Section B.

2.

In section A, there are 60 multiple choice questions with 4 alternatives out of which only 1 is correct. You get 1 marks for each correct answer and –0.25 mark for each wrong answer.

3.

In section B, there are 8 question of 5 marks each.

4.

Blank space are provided in the question paper for the rough work. No rough work should be done on the answer-sheet

5.

Blank papers, clip board, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed.

Student Name : ........................................................................................................................................ Date : ........................................................................................................................................................... Centre : .......................................................................................................................................................

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Useful Data =

1.66 × 10–27 kg

R

=

0.082 L-atm K–1 mol –1

h

=

6.626 × 10–34 J s

NA

=

6.022 × 1023

me

=

9.1 × 10–31 kg

e

=

1.6 × 10–10 C

c

=

3.0 × 108 m s–1

F

=

96500 C mol–1

RH

=

2.18 × 10–18 J

40

=

1.00 × 10–10 J–1 C2 m–1

1 amu

SECTION A 1.

A short magnetic needle is pivoted in a uniform magnetic field of strength 1T. When another magnetic field of strength

3 T is applied to the needle in a perpendicular direction, the needle deflects through an angle ,

where  is : (A) 45° 2.

(C) 60°

(D) 30°

Two optical media of refractive indices n1 and n2 contain x and y waves of the same colour in the same thickness. Then their relative refractive index 1n2 equals to: (A) x – y

3.

(B) 90°

(B)

y x

(C)

yx x

x (D) y  x

A stone is attached to one end of a string and rotated in a vertical circle. If string breaks at the position of maximum tension, it will break at : A

D

C

B

(A) A

(B) B

(C) C

(D) D

4.

A wave of light of wavelength 6000 Å falls on a plane surface (   3 ). If the reflected and refracted rays are perpendicular to each other, the angle of incidence is: (A) 30° (B) 45° (C) 60° (D) 90°

5.

An object lies at the floor of salt-water lake (   2 ) at a depth d. For the object to be visible to an observer in a boat on the surface, the maximum horizontal distance of the boat from the object is : (A) d

6.

(B) 2d

(C)

2d

(D)

d 2

The acceleration of the block m in the figure would be : (Assume ideal conditions)  m M  (A)  g  M 

 m M  (B)  g  mM 

 M m  (C)  g  m 

 m  (D)  g Mm

M

a m

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7.

A rocket ejecting 500 kg of gases per second at a speed of 200 ms–1. The accelerating force on rocket is : (A) 105 N (B) 104 N (C) 106 N (D) 100 N

8.

In the given figure at the instant shown, acceleration of 2 kg block would be :

2 kg 1 kg

(A) 1 m/s2 9.

(B)

d

(C)

2

94 m / s2 3

(D) 31 m/s2

A particle is moving eastward with a velocity of 5m/s. In 10 sec, The velocity changes to 5m/s northwards. The average acceleration in this time is : (A) Zero

(C) 10.

100 N

1 2

(B)

m / s 2 towards notrh-east

(D)

1 2 1 2

m / s 2 towards north-west m / s 2 towards south-west

What is the value of friction force in the given figure. F= 100 N 60°

1 3

3 kg (A) 50N

(B) 10N

(C) 12 N

(D) 15N

11.

A block of mass 0.1 kg is held against a wall applying a horizontal force of 5 N on the block. If the coefficient of friction between the block and wall is 0.5. The magnitude of frictional force on the block is : (A) 2.5 N (B) 0.98 N (C) 0.49 N (D) 4.9 N

12.

A spring of force constant K is cut into two pieces such that length of one piece is double the length of other. Now longer piece will have force constant of : (A)

2 K 3

(B)

3 K 2

(C)

K 3

(D) 3 K

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13.

A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit? (A) 0.8 (B) 1.8 (C) 0.4 (D) 1.2

14.

1 Gram ice at –40°C is placed in a container having 1 gram water at 10°C. Find equilibrium temperature. Assume the heat capacity of container is negligibly small (Assume specific heat of water and ice to be 1 cal/ gm°C) : (A) 0°C (B) –20°C (C) 1°C (D) –3°C

15.

 In the following circuit find equivalent resistance between A and B:

16.

(A)

4 R 3

(B)

25 R 4

(C)

8 R 7

(D)

7 R 8

Find the value of current into 8 resistance in the following circuit :

(A) 1A 17.

(C) 1.4 A

(D) 2.4 A

A wire is stretched to n times its length. Then the resistance now will increase by : (A) n times

18.

(B) 2A

(B)

1 times n

(C) n2 times

(D)

1 times n2

As shown in the figure, a bar magnet passes through a coil made of copper wire, then :

S

(A) Current will be induced in the coil N

(B) No emf will be induced in the coil (C) emf will be induced in the coil, but not the current (D) current will be induced in the coil, but not the emf

v

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19.

One side of a glass slab is silvered as shown in the figure. A ray of light is incident on the other side at angle of incidence 45°. Refractive index of glass is given as out of the slab is : (A) 90°

2 The deflection suffered by the ray when it comes i = 45°

(B) 180° (C) 120° (D) 45° 20.

Two diverging lenses are kept as shown in figure. The final image formed will be : (A) Virtual for any value of d1 and d2 (B) Real for any value of d1 and d2 (C) Virtual or real depends on d1 and d2 only (D) Virtual or real depends on d1 and d2 and also on the focal lengths of the lens

O d1

d2

21.

In which of the following arrangements, the order is not according to the property indicated against it? +3 +2 + – (A) Al < Mg < Na < F increasing ionic size (B) B < C
22.

Which of the following have identical bond order?

23.

24.

25.

(I) CN–

(II) O 2

(C) NO+

(D) CN+

(A) I, III

(B) I, II

(C) II, IV

(D) I, II, III

The molecules in which the central atom is sp3d2 hybridised are : (I) XeF4

(II) XeF6

(III) SF6

(IX) I3

(A) I, II

(B) I, III

(C) II, III

(D) II, IV

Which is correct trend of the acid strength? (A) HClO4 > HClO3 >HClO2 (C) HCl > HBr > HI

(B) H3PO4 > H3PO3 > H3PO2 (D) All of these

Which of the following is Glauber’s salt : (A) MgSO4 . 7H2O (B) Na2CO3 . H2O

(C) Na2SO4. 10H2O

(D) NaIO3

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26.

An aqueous solution of 6.39 g of oxalic acid dihydrates is made up to 250 ml. The volume of 0.1 N NaOH required to completely neutralize 10 ml of this solution (A) 40 ml (B) 20 ml (C) 100 ml (D) 400

27.

A solution salt of unknown anion when treated with MgCl2 gives white precipitate only on boiling. The anion is (A) SO24

28.

29.

(B) HCO3

(C) CO32

(D) NO3

+

The no. of H ions present in 1 ml of a solution whose pH is 13 : 7 23 4 (A) 6.023 × 10 (B) 6.023 × 10 (C) 6.023 × 10

10

(D) 6.023 × 10

Choose the incorrect relation on the basic of Bohr’s theory (A) Velocity of electron 

1 n

(B) Frequency of revolution  1 n2 (D) Force of electron  1 n4

(C) Radius of orbit n2

30.

The pKa of weak acid HA is 4.80 and the pKb of a weak base BOH is 4.78. The pH of an aqueous solution of corresponding salt BA will be: (A) 9.22 (B) 9.58 (C) 4.79 (D) 7.01

31.

Densities of diamond and graphite are 3.5 and 2.3 g/mL respectively. Increase of pressure on the equilibrium  C (graphite) C (diamond)  (A) Favours backward reaction (C) Has no effect

32.

(B) Favours forward reaction (D) Increases the reaction rate

The equivalent weight of metal M is x and the formula of its oxide is MnOm. The atomic mass of metal is : (A)

2n  x m

(B)

2m  x n

(C)

2mn x

(D)

mn x

33.

The number and type of bonds between two carbon atoms in CaC2 are : (A) One sigma () and one pi ()-bond (B) One sigma () and two pi ()-bond (C) One sigma () and one & a half pi ()-bond (D) One sigma ()-bond

34.

At a constant temperature what should be the percentage increase in pressure for 5% decrease in the volume of gas? (A) 5% (B) 10% (C) 5.26% (D) 4.26% Space for rough work

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35.

An aqueous solution of hydrogen sulphide shows the equilibrium,  H   HS  H 2 S 

If dilute hydrochloric acid is added to an aqueous solution of hydrogen sulphide without any change in temperature, then (A) The equilibrium constant will change – (B) The concentration of HS will increase (C) The concentration of undissociated hydrogen sulphide will decrease (D) The concentration of HS– will decrease 36.

Tyrosine is one of the amino acids present in protein. Its content in protein is 0.22% and its molecular weight –1 is 181 g mol . Lowest molecular weight of protein is : (A) 18100 (B) 2200 (C) 82273 (D) 18132

37.

An ideal gas is taken around the cycle ABCA shown in P – V diagram. The net work done by the gas during the cycle is equal to :

P B

4P1

(A) 12P1V1 (B) 6P1V1 (C) 3P1V1

P1

(D) P1V1

O

A V1

C 3V1

V

38.

At STP, the order of mean square velocity of molecules of H2, N2, O2 and HBr is : (A) H2 > N2 > O2 > HBr (B) HBr > O2 > N2 > H2 (C) HBr > H2 > O2 > N2 (D) N2 > O2 > H2 > HBr

39.

In hydrogen atom e– absorb photon of light in ground state and move in second excited state then excitation energy is: (A) –10.2 eV (B) +10.2 eV (C) –12.09 eV (D) +12.09 eV

40.

Element ‘X’ have IE1, IE2, IE3, IE4 respectively 20 KJ / atom, 200 KJ / atom, 1000 KJ / atom and 1500 KJ / atom then suitable configuration of element ‘X’ is : (A) 1s2 2s2 2p6 3s2 (B) 1s2 2s2 2p2 (C) 1s2 2s2 2p4 (D) 1s2 2s2 2p3

41.

When a cross is made between tall plant with yellow seeds (TtYy) and tall plant with green seed (Ttyy), what proportions of phenotype in the offspring would be expected to be for tall and green, dwarf and green plants? (A) 2 : 4 (B) 3 : 1 (C) 1 : 3 (D) 1 : 1

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42.

Match the items given in Column I with those listed in the column II. Choose the answer with correct combinations of alphabets of the two columns Column-I Column-II (a) Monohybrid cross (1) T and t (b) Test cross (2) TT (c) Alleles (3) Tt × Tt (d) Homozygous tall (4) tt (5) Tt × tt (A) (a)-3, (b)-5, (c)-(4), (d)-(2) (B) (a)-5, (b)-3, (c)-(2), (d)-(4) (C) (a)-3, (b)-5, (c)-(1), (d)-(2) (D) (a)-3, (b)-1, (c)-(5), (d)-(2)

43.

Dihybrid cross is done between the parents and similar phenotypic and genotypic ratio i.e. 1 : 1 : 1 : 1 is obtained. the genotype of parent was : (A) RRYY × rryy (B) RRYY × Rryy (C) RrYy × rryy (D) RrYy × RrYy

44.

Some individuals with blood group A may inherit the genes for blond hair, while other individuals with blood group A inherit the gene for brown hair. This can be best explained by the principle of : (A) Dominance (B) Multiple alleles (C) Independent assortment (D) Incomplete dominance

45.

The phenomenon of a single gene regulating several phenotype is called: (A) Multiple allelism (B) Epistasis (C) Codominance

(D) Pleiotropism

RNA virus mutate and evolve faster than other viruses because : (i) Single stranded structure of RNA make it more reactive. (ii) RNA being a catalyst was reactive and hence unstable (iii) RNA is single stranded so can’t resists changes. (iv) It is not found in less developed organism Choose the correct statements: (A) (i), (ii) (B) (ii), (iii) (C) (i), (ii), (iv)

(D) (i), (ii), (iii)

In nature, male heterogamety can be observed in : (A) Human beings (B) Grass hoppers

(D) All of these

46.

47.

48.

(C) Birds

Two dihybrid crosses were made in Drosophila by T.H. Morgan and named as cross A and B. Recombinant percentage observed was 1.3% and 37.2% respectively. The result represent that genes for : (A) Characters considered in cross A were situated at distant loci than cross B. (B) Gene for characters considered in cross A were situated at closer loci than cross B. (C) Recombination percentage is not related to gene loci (D) None of these

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49.

Match the name of scientist given in column I with their contribution given in column II. choose the answer with correct combination : Column-I Column-II (a) T.H. Morgan (i) Chromosomal Theory (b) Sutton and Boveri (ii) X-sex chromosome (c) Carl Correns (iii) Linkage (d) Henking (iv) Blending inheritance (A) (a)-(ii), (b)-(i), (c)-(iii), (d)-(iv) (B) (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii) (C) (a)-(iii), (b)-(ii), (c)-(i), (d)-(iv) (D) (a)-(i), (b)-(ii), (c)-(iii), (d)-(iv)

50.

Parents with blood group A and B have a child with blood group O. It shows that: (A) Both parents are heterozygous of their character (B) Both parents are homozygous of their character (C) Both parents are hybrid for their character (D) (A), (C) both are correct

51.

Carboxypeptidase belong to which class of enzyme (A) Oxydoreductase (B) Lyases

(C) Hydrolases

On denaturation enzymes looses : (A) Primary structure (C) Primary and secondary structure

(B) Tertiary structure (D) Primary and tertiary structure

52.

53.

(D) Isomerase

Study the reaction given below and identify the enzyme which may accelerate reaction by 10 million times:

H 2O  CO2   H 2 CO 3 (A) Ribozyme 54.

55.

(B) Carbonic anhydrase (C) Catalase

Which of the following set of coenzymes are nucleotides of vitamin niacin? (A) NAD, NADP (B) FMN, FAD (C) ATP, ADP

(D) Peroxidase

(D) ATP, FAD

Given reaction is catalyzed by : O O ||

||

O ||

CO  ATP

2 CH3  C C O    OOC  C CH2  COO (Pyruvate) Oxaloacetate

(A) Kinase

(B) Phosphorylase

(C) Transcarboxylase

(D) Oxidoreductase

56.

Production of gastro intestinal secretions and movement soon after ingestion of food are brought about by : (A) Central nervous system (B) Sympathetic N.S. (C) Para sympathetic N.S. (D) Peripheral N.S.

57.

Carbonic anhydrase is mostly active in: (A) RBC (B) WBC

(C) Blood plasma

(D) Platelets

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58.

Deamination is the process in which : (A) Poisonous urea is removed from the blood and it occurs in kidneys (B) Aminoacids are absorbed from digested food and it occurs in intestinal villi (C) Amino acids are broken down to produce urea and its occurs in liver (D) Amino acids are synthesised and it occurs in Ribosomes.

59.

Parasympathetic N.S. accelerates the activity of : (A) Heart, adrenal and sweat glands (C) heart, pancreas and lachrimal glands

60.

(B) Lachrymal and sweat glands (D) Gut, Iris and Urinary bladder

Occurance of Leydig cells and their secretion is : (A) Ovary and oestrogen (B) Liver and Cholesterol (C) Pancreas and Glucogon (D) Testis and testosterone

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SECTION B 61.

As figure shows, S1 and S2 are spring balances. Block A is hanging from spring balance S1 and immersed in liquid L which is contained in beaker B. The mass of beaker B is 1 kg and mass of liquid L is 1.5 kg. Balances S1 and S2 reads 2.5 kg and 7.5 kg, respectively. What will be the readings of S1 and S2 when block A is pulled up out of the liquid. Find the reading of S1 and S2?

[5] ANS.

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62.

(i) A stream of water flowing horizontally with a speed of 15 cm/s gushes out of a tube of cross sectional area 100 cm2 and hits a vertical wall nearby. What is the force exerted by the impact of water, assuming that water rebounds with same speed. (ii) The initial speed of a body of mass 2 kg is 5 m/s. A force act for 4 seconds in the direction of motion of the body. The force time graph is shown, calculate impulse of the force and speed of the body. [2.5 + 2.5]

ANS.

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63.

When a crystalline solid (‘X’) is heated with K2Cr2O7 and Conc. H2SO4, a reddish brown gas (G) is evolved. On passing (G) into causitc soda solution and on subsequent addition of acetic acid and lead acetate, an yellow precipitate of (Y) is obtained. When (X) is heated with NaOH solution, a colourless gas (Z) is evolved. Aqueous solution of (Z) when added to K2HgI4 solution gives a reddish brown precipitate .

1.

Solid (X) + MnO2 + conc. H2SO4  the gas evolved is: (A) CO2 (B) NH3 (C) Cl2 +2

(D) Br2

2.

When solution of (Z) in excess is added to Cu (A) Green solution, Fe4[Fe(CN)6]3 (C) Blue precipitate Cu2[Fe(CN)6]

3.

(X) and conc. H2SO4 on heating gives colourless pungent smelling fumes of : (A) HBr (B) HCl (C) Cl2

(D) Br2

Which of the following is (Y)? (A) HClO4 (B) CrCl3

(C) H2CrO4

(D) CrO2Cl2

What is (X) solid? (A) NH4Br

(C) NH4Cl

(D) NaBr

4. 5.

(B) NaCl

ions produces : (B) Deep blue solution, Cu2[Fe(CN)6] 2+ (D) Deep blue solution, [Cu(NH3)4]

ANS.

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64.

–1

1.

The first (iH1) and the second ((iH2) ionization enthalpy in kJ mol 1 of a few elements are given below : Element iH 1 iH 2  eg H (a) 520 7300 –60 (b) 419 3051 –48 (c) 1681 3374 –328 (d) 1008 1846 –295 (e) 2372 5251 +48 (f) 738 1451 –40 Answer the following questions. Which one of the above elements is non reactive :

and the electron gain enthalpy in kJ mol

2.

Which one of the above elements is most reactive metal?

3.

Which one of the above elements is most reactive non-metal?

4.

The metal which can form a stable binary halide of the formula MX2 (X = halogen)

5.

Which one of the above element is least reactive non-metal?

–

ANS.

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65.

Over 200 enzymes have been recorded. Most enzymes are proteins and synthesized by living cells. Some enzymes function inside the cell only while some remain functional even outside the cell or the body as whole. Enzyme serve as biocatalyst without taking part in the reaction (A) All enzymes are protein true/false [1] (B) Enzymes don’t disturbe equilibrium of a reaction explain [1] (C) Based on site of action, enzymes are of two types write the names and state difference [1] (D) On heating enzymes may loose its catalytic power [2] -True/false state reason

ANS.

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66.

(a) What is this diagram representing. (b) Name the parts A, B, and C. (c) How these structure appear in cell. (d)Why C named so?

[1] [1½] [½] [2]

ANS.

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67.

Prove that 1P1 + 2 . 2P2 + 3 . 3P3 + . . . . + n . nPn = n+1Pn+1 – 1.

ANS.

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68.

Find the number of zeros at the end of 150 ! ?

ANS.

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