Time: 90 MINUTES Maximum Marks:100 - ASPIRE IIT · 3. The angle of dip at the magnetic equator is...

Brain of Himachal

Sample Paper

Class - 12th

Time: 90 MINUTES Maximum Marks:100

INSTRUCTIONS

Please read the instructions carefully. You are allotted 5 minutes specifically for this

purpose.

1. Answer all the questions.

2. This booklet is your Questions Paper containing 100 questions.

3. The question paper consists of 3 sections (Physics, Chemistry and Mental Ability).

4. Sections A & B. Section A contains 20 objective questions.

5. Section B contains 3 passages and based on each there are two objective questions with one

correct choice. This also contains assertion-reasoning type of questions followed by objective

questions based on it.

6. Each question has only ONE correct answer. In case you wish to change an answer, erase the

old answer and mark your fresh choice.

7. For each correct answer 3 marks will be awarded. For each wrong answer 1 mark will be

deducted.

8. Write your Registration number, Name at the specified space on the Answers sheet.

9. All the notations used in this paper are standard.

ASPIRE IIT/MEDICAL

SECTION – A

PHYSICS

CODE A

BRAIN OF SHIMLA CODE –A, CLASS XII

l; ASPIRE IIT/MEDICAL KHALINI SHIMLA: +91-9882372779, 9816623676, 0177-2629891 2

space for rough work

1. The dielectric constant K of an insulator can be

(A) 4 (B) - 4

(C) 0 (D) 0.4

2. The magnetic induction at the centre O in the figure shown is

(A) 0

1 2

i 1 1

4 R R

(B) 0

1 2

i 1 1

4 R R

(C) 01 2

i(R R )

4

(D) 0

1 2

i(R R )

4

.

R1

R2

O

3. The angle of dip at the magnetic equator is

(A) 0º (B) 45º

(C) 30º (D) 90º.

4. A metallic ring is attached with the wall of a room. When the north pole of

a magnet is brought near to it, the induced current in the ring will be (as

seen from above the ring)

(A) First clockwise then anticlockwise.

(B) In clockwise direction.

(C) In anticlockwise direction.

(D) First anticlockwise then clockwise.

aN

S

5. If the dielectric constant and dielectric strength be denoted by K and X respectively, then

a material suitable for use as a dielectric in a capacitor must have

(A) high K and high X (B) high K and low X

(C) low K and high X (D) low K and low X.

6. A parallel plate condenser is immersed in an oil of dielectric constant 2. The field

between the plates is

(A) Increased proportional to 2 (B) Decreased proportional to 1/2

(C) Increased proportional to 2 (D) Decreased proportional to 1/ 2

7. The centre of mass of a body

(A) Lies always outside the body.

(B) May lie within, outside or on the surface of the body.

(C) Lies always inside the body.

(D)Lies always on the surface of the body


ASPIRE IIT/MEDICAL KHALINI SHIMLA: 9882372779, 9816623676, 0177-2629891 3

Space for rough work

8. A plano-convex lens is made of glass of refractive index 1.5. The focal length f of the lens &

the radius of curvature R of its curved surface, are related by

(A) f = 2/R (B) f = R

(C) f = 2 R (D) f = 2R/3

9. A parallel plate capacitor of area A, plate separation d and

capacitance C is filled with three different dielectric materials

having dielectric constant k1, k2 and k3 as shown. If a single

dielectric material is to be used to have the same capacitance C in

this capacitor, then its dielectric constant k is given by

K1 K2

K3

d

A/2

AA=Area of plates

A/2

d/2

(A) 1 2 3

1 1 1 1

k k k 2k (B)

1 2 3

1 1 1

k k k 2k

(C) 1 23

1 2

k kk 2k

k k

(D) k = k1 + k2 + 2k3

.

10. The current from the battery in circuit diagram shown is

(A) 1 A (B) 2 A

(C) 1.5 A (D) 3 A.

15V

A

B

108

0.5

11. A proton moving with a constant velocity passes through a region of space without any

change in its velocity. If E and B represent the electric and magnetic fields respectively,

then which of the following is not possible

(A) E = 0, B = 0 (B) E = 0, B 0

(C) E 0, B = 0 (D) E 0, B 0.

12. The idea of matter waves was given by

(A) Davisson and Germer (B) de–Broglie

(C) Elinstein (D) Planck.

13. A Current carrying wire produces in its neighbourhood

(A) Zero field (B) electric field only

(C) Magnetic field only (D) electric and magnetic fields




14. The magnetic field due to very long wire carrying current varies according to

(A) Square of the distance from the wire (B) inverse of the distance from the wire

(C) Square root of the distance from wire (D) linearly as the distance from wire

15. Three point charge q – 2q and – 2q are placed at the vertices of an equilateral triangle of

side a. The work done by some external force to increase their separation to 2 a will be

(A) a

q2.

4

12

0 (B) Negative

(C) Zero (D) a

q3.

4

12

0.

16. The work done for the cycle shown is

(A) -45 J (B) 45 J

(C) -22.5 J (D) 0 J.

50

40

30

20

10

01 2 3 4 5

bK

a

P

V

(N/m)2

(m)3

17. A Plano convex lens of curvature of 30 cm & R.I. 1.5 produces a real image of an object

kept 90cm from it. The magnification is

(A) 1.5 (B) 2.0

(C) 4.0 (D) 0.5

18. A hollow metal sphere of radius 5 cm is charged so that the potential on its surface is 10

V. The potential at the center of the sphere is

(A) 0 V.

(B) 10 V.

(C) Same as at point 5 cm away from the surface.

(D) Same as at point 25 cm away from the surface.

19. The momentum of photon having energy E is

(A) E/c (B) E/c2

(C) E/h (D) Zero

20. The angle such that the electric field (vector) at A is

perpendicular to dipole moment (vector) is

(A) 0o (B) 90

o

(C) tan–1

2 (D) tan–1

2 .

A

p




21. In order to increase the kinetic energy of ejected photoelectrons, there should be an

increase in

(A) Intensity of radiation (B) wavelength of radiation

(C) Frequency of radiation (D) Both the wavelength and intensity of radiation

22. Uniform electric and magnetic fields are produced pointing in the same direction.

An electron is projected pointing in the same direction, then

(A) the electron turns to right (B) the electron turns to left

(C) the velocity of electron increases (D) the velocity of electron decreases

23. Which of the following is not emitted by a radioactive substance?

(A) β–particles (B) positron

(C) Proton (D) neutron

24. If 2% of the main current is to be passed through the galvanometer of resistance

G, the resistance of shunt required is

(A) G/49 (B) 49G

(C) G/50 (D) 50G

Passage – III

An object AB of height 1 cm lying on the axis of

convex mirror of focal length 20 mm, at a distance

of 30 cm from its pole as shown in figure. Now the

object starts moving with constant speed 1 cm/s,

towards the pole, you can use 1 1 1 v

& mv u f u

30cm 20cmF C

1cm/s

1cm

Assuming paraxial approximation answer following questions.

25. Velocity of image at the given instant in (cm/s)

(A) ˆ0.16i (B) ˆ0.16i

(C) ˆ1i (D) ˆ0.4i

26. Rate of change of height of image is (cm/s)

(A) 0.008 (B) 0.016

(C) 2 (D) 0.240




27. The particles or radiation emitted in the nuclear reaction

ZXA→ Z+1Y

A → Z-1R

A - 4

→Z-1RA-4

will be respectively,

(A) α, β, γ (B) β, γ, α

(C) γ, α, β (D) β, α, γ

28. The half life of radium is about 1600 years. Of 100 g of radium existing now, 25 g will

remain unchanged after

A) 4800 years B) 6400 years

C) 2400 years D) 3200 years

29. A real gas behaves like an ideal gas if its

(A) Pressure and temperature are both high

(B) Pressure and temperature are both low

(C) Pressure is high and temperature is low

(D) Pressure is low and temperature is high

30. In the given AC circuit, which of the following is incorrect:

(A) Voltage across resistance is lagging by 90° than the voltage across capacitor.

(B) Voltage across capacitor is lagging by 180° than voltage across inductor.

(C) Voltage across inductor is leading by 90° than voltage across resistance.

(D) Resistance of the circuit is equal to reactance of circuit.




CHEMISTRY

SECTION – B

Q.31 The magnetic moments of complexes given below are in the order:

(I) Ni(CO)4 (II) [Mn(CN)6]4– (III) [Cr(NH3)6]3+ (IV) [CoF6]3+

(A) I > II > III > IV (B) I < II < III < IV (C) IV >II > I >III (D) IV < II < I < III

Q.32 Which is low spin complex?

(A) [Fe (CN)6]3– (B) [Co(NO2)6]3– (C) [Mn(CN)6]3– (D) all of these

Q.33 Which of the following are diamagnetic?

(I) K4[Fe(CN)6] (II) K3[Cr(CN)6] (III) K3[Co(CN)6] (IV) K2[Ni(CN)4]

Select the correct answer using the codes given below:

(A) I, II & IV (B) I, III & IV (C) II & III (D) I & IV

Q.34 Which kind of isomerism is exhibited by octahedral [Co (NH3)4Br2] Cl:

(A) Geometrical and ionization (B) Geometrical and optical

(C) Optical and ionization (D) Geometrical only

Q.35 Chalcogens are:

(A) Hydrocarbons (B) Ore forming elements

(C) Oxide forming elements (D) those having ability to catenate

Q.36 In Goldschmidt aluminothermic process, thermite mixture contains:

(A) 3 parts Fe2O3 and 2 parts Al (B) 3 parts Al2O3 and 4 parts Al

(C) 1 part Fe2O3 and 12 part Al (D) 3 parts Fe2O3 and 1 part Al

Q.37 The two carbon atoms in calcium carbide are held by which of the following bonds:

(A) Three sigma bonds (B) Ionic bonds

(C) Two pi and one sigma bonds (D) Ionic and covalent bonds

Q.38 Number of paired electrons in O2 molecule is:

(A) 7 (B) 8 (C) 16 (D) 14




Q.39 Which of the following does not contain isoelectronic species?

(A) 3

4PO ,

24

SO , 4

ClO (B) CN –, N2,

22

C

(C) 2

3SO ,

23

CO , 3

NO (D) 3

3BO ,

23

CO , 3

NO

Q.40 The bond order in NO is 2.5 while that in NO+ is 3. Which statement is true:

(A) Bond length is unpredictable

(B) Bond length in NO is greater than in NO+

(C) Bond length in NO+ is equal to that in NO

(D) Bond length in NO+ is greater than in NO

Q.41 The correct order in which the O–O bond length increases in the following :

(A) H2O2 < O2 < O3 (B) O3 < H2O2 < O3 (C) O2 < H2O2< O3 (D) O2 < O3 < H2O2

Q.42 A molecule which can not exist theoretically is:

(A) SF4 (B) OF2 (C) OF4 (D) O2F2

Q.43 The hydrolysis of an ester was carried out separately with 0.05 N HCl and 0.05 N

H2SO4. Which of the following will be true?

(A) kHCl > 4SO2Hk (B) kHCl < 4SO2Hk

(C) kHCl =4SO2Hk (D) 4SO2Hk

= 2kHCl

Q.44 A radioactive nuclide is produced at a constant rate of -per second. It decay constant is

. If N0 be the no. of nulcei at time t = 0, then maximum no. of nuclei possible are

(A)

(B) N0 +

(C) N0 (D)

+ N0

Q.45 The mechanism of the reaction

2NO + O2 2NO2 is

NO + NO N2O2 (fast)

N2O2 + O2 2k

2NO2 (slow)

the rate constant for the reaction is

(A) k2 (B) k2.k1.k–1 (C) k2.k1 (D) k2

1

1

k

k




Q.46 CH3 – CO – CH3(g) -> CH3 – CH3(g) + CO(g)

Initial pressure of CH3COCH3 is 100mm when equilibrium is set up, mole fraction of

CO(g) is hence kp is

(A) 100 mm (B) 50 mm (C) 25 mm (D) 150 mm

Passage

Chlorination of methane involves three steps: chain-initiating, chain-propagating and

chain-terminating.

Heat or light

2Cl 2Cl Chain initiating

4 3

3 2 3

CH Cl C H HClChain propagating

C H Cl CH Cl Cl

When oxygen is passed through the reaction mixture, chlorination of methane slows

down temporarily.

Q.47 Chain-propagating steps

(A) consume reactive species and form another reactive species

(B) do not produce reactive species

(C) absorb energy and produce reactive species

(D) are not always the part of chain-reaction mechanism.

Q.48 Chain-terminating step may involve the formation of

(A) Chlorine (B) Methyl chloride

(C) Ethane (D) All the three

Q.49 Which is a possible set of quantum numbers for a valence electron in ground state atom

of phosphorus (Z = 15)?

n l m1 ms n l m1 ms

(A) 2 1 0 +1/2 (B) 3 0 0 0

(C) 3 1 –1 +1/2 (D) 3 2 0 –1/2

Q.50 Which of the following species contains only three electrons in valence shell?

Li, B, N, F, Al

(A) Li, B (B) B, N

(C) B, Al (D) N




Q.51 50 mL of H2 gas diffuses through a small hole from a vessel in 20 minutes. Time taken

by 40 mL of O2 gas to diffuse under similar conditions will be:

(A) 12 min (B) 64 min

(C) 8 min (D) 32 min

Q.52 Elevation in b.p. of a molar glucose solution (d = 1.2 g mL–1) is:

(A) 0.98 Kb (B) Kb

(C) 1.20 Kb (D) 1.02 Kb

Q.53 The rate constant for the reaction

2N2O5 4NO2 + O2

is 3 0 10–5 s–1. If the ate at a given time is 2.40 10–5 mol L–1 s–1, then

concentration of N2O5 at that time is:

(A) 1.4 (B) 1.2

(C) 0.04 (D) 0.8

Q.54 In presence of catalyst Ea is lowered by 2 kcal at 27°C. Hence, rate will be:

(A) 20 times (B) 14 times

(C) 28 times (D) 2 times

Q.55 Which is not the electrophile?

(A) 5CH

(B) 3CH

(C) BF3 (D) SO3

Q.56 Ethyl alcohol is 46% by weight of solution. Hence, mole fraction of ethyl alcohol is:

(A) 0.46 (B) 0.54

(C) 0.75 (D) 0.25

Q.57 In the nuclear reaction: 27 4 30 1 30

13 2 15 0 15Al He X n, X is:

(A) Si (B) P

(C) S (D) Ar




Q.58

The ease of nitration of the following three hydrocarbons follows the order

CH3

CH3

CH3

CH3

CH3 I II III

(A) II = III I (B) II > III > I

(C) III > II > I (D) I = III > I

Q.59

Which of the following is an aromatic species?

(A)

NO2

H+ (B)

CH3

H+

(C) NH (D) All of the three

Q.60

Ethylbenzene when treated with chlorine in presence of light mainly gives

(A) - phenylethyl chloride

(B) - phenylethyl chloride

(C) o - chloroethyl benzene

(D) o - and p - chloroethylbenzene




SECTION – C

MENTAL ABILITY

The cells in diagram I and sectors in diagram II contain two letters each from A to Z.

The first letters in each cell is coded by the cell shape whereas the second letter is represented by

cell shape along with a dot in it.

For example:

1. A is represented as

2. M is represented as

3. K is represented as

4. P is represented as

Q.61 Identify the response which represents CHAIR.

(A)

(B)

(C)

(D)

Q.62

Identify the response which represents MONKEY.

(A)

(B)

(C)

(D)




Q.63

There are two sets of figures. The first set bears some relation with the second figure in the

same set. Bearing that relation in mind pick up one figure from the answer figures that bears

the same relation with the first figure of the second set.

(A) (B) (C) (D)

Q.64

(A) (B) (C) (D)

Each one of the following questions contains three items. Using the relationship between

these items match each question with the most suitable diagram given below. Write the

number of the diagram in your answer sheet.

Q.65 Your, mine, their

(A) (1) (B) (2) (C) (3) (D) (4)

Q.66

Flowers, clothes, white

(A) (1) (B) (2) (C) (3) (D) (4)

Q.67

Mountains, Forest, Earth

(A) (1) (B) (2) (C) (3) (D) (4)




Q.68 In each of the following questions a design/pattern is given. One small segment is missing

from the design. Select the alternative which will complete the design when placed in the missing

area.

(A) (B) (C) (D)

Q.69

(A) (B) (C) (D)

Q.70

If '+' means 'divided by', '–' means 'multiplied by', '×' means 'plus' and '÷' means 'minus',

then (280 + 10 × 20) – 8 ÷ 6 = ?

(A) 378 (B) 258 (C) 70 (D) 64

A, B, C, D, E and F are members of a family. Amongst them there are lawyer, doctor, teacher,

salesman, engineer and an accountant. There are two married couples in the family. 'D' who is

a salesman is married to the lady teacher. Doctor is married to the lawyer. 'F' who is an

accountant is son of 'B' and also brother of 'E'. 'C' who is lawyer is daughter-in-law of 'A'. 'E' is

an unmarried engineer. 'A' is grand mother of 'F'.

Q.71 What is the profession of B?

(A)Salesman (B)Doctor (C)Lawyer (D)Teacher

Q.72

What is the profession of A?

(A)none of these (B)Doctor (C)Lawyer (DEngineer




Q.73

What is the relation of B with D?

(A)Brother (B)Grandson (C)Son (D)Father

Q.74

What is the relation of D with F?

(A)Husband (B)Brother (C)Father (D)Grandfather

Q.75

Which of the following is a married couple?

(A)C and D (B)A and B (C)B and C (D)D and B

A cube is painted red on two adjacent surfaces and black on the surfaces opposite to red

surfaces and green on the remaining faces. Now the cube is cut into sixty four smaller cubes of

equal size.

Q.76 How many smaller cubes have only one surface painted?

(A) 8 (B) 16 (C) 24 (D) 32

Q.77

How many smaller cubes have less than three surfaces painted?

(A) 8 (B) 24 (C) 28 (D) 48

Q.78

How many smaller cubes with two surfaces painted have one face green and one of the

adjacent faces black or red?

(A) 8 (B) 16 (C) 24 (D) 28

Q.79

How many smaller cubes have at least one surface painted with green colour?

(A) 8 (B) 24 (C) 32 (D) 56




Q.80

Which answer figure will be the correct mirror image of the question figure?

(1) (2) (3) (4)

Q.81

Which answer figure will be the correct water image of the question figure?

(A) (B) (C) (D)

Q.82

If in a particular year, 16th June was friday, then the first friday in July of that year will fall

on which date?

(A)8th July (B)5th July (C)7th July (D)6th July

Read the following words carefully and their codes given in the table below and answer the

questions.

JOIN GPHN

GET JFV

EAT FAV

GREAT JRFAW

FOUL EPOL

Q.83 How many alphabets have been retained as codes?

(A) 4 (B) 3 (C) 5 (D) 2




Q.84 What will be the code for 'FIGURE'?

(A)EHJORF (B)FHJQAR (C)FDELVF (D)FIJPRA

Q.85

Find the exact time between 7 am and 8 am when the two hands of a watch meet?

(A)7 hrs 35 min (B)7 hrs 36.99 min (C)7 hrs 38.18 min (D)7 hrs 42.6 min

Q.86

Choose the missing number from the given alternatives.

(A) 24 (B) 30 (C) 36 (D) 40

Q. 87

Choose the missing number from the given alternatives.

18 24 32

12 14 16

3 ? 4

72 112 128

(A) 2 (B) 3 (C) 4 (D) 5

Q.88

Which answer figure is embedded in the question figure?

(A) (B) (C) (D)




Q.89 Find out which of the figure (1), (2), (3) and (4) can be formed from the pieces given in a

question figures.

(A) (B) (C) (D)

Q.90 Read the given statement(s) as true and decides which of the conclusion logically follows

from statement.

Statements: 1. All books are trees.

2. All trees are words.

Conclusions: I. All books are words.

II. All words are books.

III. All trees are books.

(A) I and II follow

(B) Only I follows

(C) II and III follow

(D) I, II and III follow

Q.91 Read the given statement(s) as true and decide which of the conclusion logically follows

from statement.

Read the following statements.

1. All ministers are law graduates.

2. Some ministers are ladies.

Which of these inferences is correct?

(A) All lady ministers are law graduates

(B) No male minister is a law graduates

(C) All law graduate ministers will be ladies

(D) No lady minister is a law graduate




Q.92 Read the given statement(s) as true and decide which of the conclusion logically follows

from statement.

Read the following statements to be true.

1. All birds fly.

2. Hyla is a reptile.

3. Some reptiles fly.

Which of the inferences is correct?

(A) Hyla is a bird

(B) Hyla may fly

(C) Reptiles and birds fly

(D) Hyla flies

Q.93

If '–' means 'multiplied by', 'x' means 'plus' '+' means 'divided by' and '÷' means 'minus',

then 14 – 10 × 4 ÷ 16 + 8 = ?

(A) 142 (B) 134 (C) 6 (D) 5

Q.94

If '+' means 'multiplied by', '–' means 'divided by', '×' means 'plus' and '÷' means 'minus',

then (l8 + 10 × 20) – 8 ÷ 6 = ?

(A) 92 (B) 35 (C) 26 (D) 19

Q.95

Which number is wrong in the given series?

3, 8, 15, 24, 34, 48, 63

(A) 8 (B) 15 (C) 34 (D) 24

Q.96

Find out the missing term in the given series.

4, 10, 28, 82 ?

(A) 262 (B) 284 (C) 244 (D) 168

Q.97

How many such pair of digits are there in the number 98314625 each of which has as

many digits between them in the number as when they are arranged in ascending order?

(A) 4 (B) 3 (C) 2 (D) None




Q.98

A 5 m long piece of cloth is cut into three smaller pieces. How long is the longest of three

pieces?

Given that :

I. One piece is 2.90 m long.

II. one piece is 90 cm longer than another piece and the remaining piece is 20 cm long.

(1) Statement I alone but Statement II alone is not sufficient to answer the question

(2) Statement II alone but Statement I alone is not sufficient to answer the question

(3) Statement I and II both are not sufficient to answer the question

(4) Statement I and II both are needed to answer the question

Q.99 There are two sets of figures Problem Figures and Answer Figures. The first four figures

are arranged according to a particular pattern. Bearing that pattern in mind pick up one figure

from the Answer Figures to fill the blank square.

(A) (B) (C) (D)

Q.100 There are two sets of figures Problem Figures and Answer Figures. The first four figures

are arranged according to a particular pattern. Bearing that pattern in mind pick up one figure

from the Answer Figures to fill the blank square.

(A) (B) (C) (D)

Time: 90 MINUTES Maximum Marks:100 - ASPIRE IIT · 3. The angle of dip at the magnetic equator is...

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