Sample Paper · 2020. 9. 26. · (For Class XII Studying moving to XII Passed) - (Sample Paper)...

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Sample Paper

(Class XII Studying moving to XII Passed)

Physics, Chemistry & Mathematics

ENGINEERING

1. Duration of Test is 1 hr.

2. The Test booklet consists of 35 questions. The maximum

marks are 90. There is no negative marking for wrong

answer.

3. Pattern of the questions are as under:

(i) This question paper consists of three parts i.e.,

Physics, Chemistry and Mathematics, each having

five sections.

(ii) Section-I: This section contains 16 multiple choice

questions, which have only one correct answer.

Each question carries +2 marks for correct answer.

(iii) Section-II: This section contains 7 multiple choice

questions, in which more than one answer may be

correct. Each question carries +4 marks for correct

answer.

(iv) Section-III: This section contains 6 multiple choice

questions based on paragraphs, which have only

one correct answer. Each question carries +2 marks

for correct answer.

(v) Section-IV: This section contains 3 multiple choice

questions based on assertion-reason type, which

have only one correct answer. Each question carries

+2 marks for correct answer.

(vi) Section-V: This section contains 3 questions. Each

question has two matching Columns. Column-I has

four entries (A, B, C, D) and Column-II has four entries

(P, Q, R, S). Each entry in Column-I may match with

one or more entries in Column-II. Each question

carries +4 marks for correct answer.

ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)

1

Space for Rough Work

The questions given in sample paper are indicative of the level and pattern of questions that will be asked in ANTHE-2020)

Time : 1 Hour MM : 90

PHYSICS

SECTION-I : SINGLE ANSWER TYPE

This section contains 5 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which

ONLY ONE is correct.

1. Current I flows in equilateral triangular loop of side length a. Magnetic field at the centroid of triangle is

(1) 09 I

a

(2) 09

2

I

a

(3) 03 3

2

I

a

(4) 03 3 I

a

2. Electric field as a function of x-coordinate in the region is shown in figure. If potential at origin is 5 V, then

maximum potential in the region, is

(1) 35 V (2) 30 V

(3) 20 V (4) 25 V

8

3 6O

–10

E (N/C)

x (m)

(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)

2


3. Current through a conductor of resistance R varies with time t as shown. Total heat dissipated in resistor, is

(1) 202

3

i RT (2)

20

6

i RT

(3) 20

3

i RT (4)

20

2

i RT

4. In steady state, potential difference across capacitor shown in diagram, is

(1) 0

3

V (2) 02

3

V

(3) 0

2

V (4) 0

4

V

5. In a plane other than magnetic meridian angle of dip is 45º. If angle made by magnetic meridian with plane

is , then true angle of dip is

(1) 1 2tan (cos ) (2) 1tan (cos )

(3) 1tan (sec ) (4) 1tan (sin )

Tt

i0

i

V0

R

R

2R

C


3


SECTION-II : MORE THAN ONE ANSWER TYPE


MORE THAN ONE answer may be correct.

6. Consider the circuit shown, switch (S) is closed at t = 0. If current through battery is I1, just after switch is

closed and I2 after a long time, then

(1) 01

2

VI

R (2) 1

2

4

3

II

(3) 21

4

3

II (4) 0

2

2

3

VI

R

7. Inside a neutral metallic hollow spherical shell of radius R, a charge q is placed

(1) Electric field inside the shell is zero

(2) Electric field inside the shell is non-uniform

(3) Charge distribution on outer surface of shell is uniform

(4) Charge distribution on outer surface of shell is non-uniform

V0

R

LR

S

R

q


4


SECTION-III : PARAGRAPH TYPE

This section contains a paragraph. Based upon this paragraph, 2 multiple choice questions have to be answered.

Each question has 4 choices (1), (2), (3) and (4), out of which ONLY ONE is correct.

Paragraph for Q. Nos. 8 & 9

For the circuit shown in figure, if batteries are ideal, then answer the following questions.

8. Power delivered by battery of potential 2V0 at steady state, is

(1) 2

0

2

V

R (2)

20

3

V

R

(3) 2

02

5

V

R (4)

20

4

V

R

9. Potential across capacitor at steady state, is

(1) 0

3

V (2) 0

2

V

(3) 02

5

V (4) 0

4

V

SECTION-IV : ASSERTION & REASON TYPE

This section contains 1 Assertion-Reason type question, which has 4 choices (1), (2), (3) and (4) out of which


10. A : A potentiometer of larger length is used for accurate measurement.

R : The potential gradient for a given potentiometer of longer length for a given source becomes small.

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

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

(3) (A) is true but (R) is false

(4) (A) is false but (R) is true

R

3R

V0

2V0

V0 C


5


SECTION-V : MATRIX MATCH TYPE

This section contains 1 Matrix Match type question, which has 2 Columns (Column-I and Column-II). Column-I

has four entries (A), (B), (C) and (D), Column-II has four entries (P), (Q), (R) and (S). Match the entries in

Column-I with the entries in Column-II. Each entry in Column-I may match with one or more entries in Column-II.

The OMR contains a 4 × 4 matrix whose layout will be similar to the one shown below:

For each entry in Column-I, darken the bubbles of all the matching entries. For example, if entry (A) in Column-I

matches with entries (Q), (R) and (S), then darken these three bubbles in the OMR. Similarly, for entries (B), (C)

and (D).

11. For the circuit shown in Column-I applied voltage is 0 sin( ). V V t Column-II lists the current in circuit listed

in Column-I. Match the entries in Column-I with Column-II.

Column-I Column-II

(A)

(P) 0 sin

2 3

Vt

R

(B)

(Q) 0 sin2

V

tR

(C)

(R) 0 sin

2 3

Vt

R

(D)

(S) 0 sin

2 6

Vt

R

(A)

(B)

(C)

(D)

(P)

(P)

(P)

(P)

(Q)

(Q)

(Q)

(Q)

(R)

(R)

(R)

(R)

(S)

(S)

(S)

(S)

R 3R

R3R

3RR

2R


6


CHEMISTRY




12. The time required for the completion of 93.75% of a first order reaction is ______ times the time required for

50% completion of the reaction.

(1) 3.0 (2) 3.5

(3) 4.0 (4) 4.5

13. What is the emf of the following electrochemical cell at 25ºC?

2 2Pt | H (10 atm) | HCl(pH 4.7) || HCl(pH 1.3) | H (1 atm) | Pt

(1) 0.2301 V (2) –0.2006 V

(3) –0.2301 V (4) 0.2006 V

14. The longest P – P bond length is observed in

(1) Cl2P – PCl2 (2) F2P – PF2

(3) HFP – PFH (4) H2P – PH2

15. Cl2O6 exists as ionic species in the solid state. What are the oxidation states of Cl in the cationic and anionic

part respectively?

(1) +4 and +6 (2) +5 and +7

(3) +6 and +6 (4) +3 and +7

16. In the following sequence of reactions, identify compounds (B) and (C).

(1) (B) is BaCO3; (C) is CO2 (2) (B) is BaSO3; (C) is SO2

(3) (B) is BaS; (C) is H2S (4) (B) is Ba; (C) is H2

Na SO (aq)2 4

BaCl (aq)2

(A)Carbon

(B)

dil. HCl(C)

(White ppt) (Solid) (Gas)


7





17. The d orbitals involved in sp3d

3 hybridisation of IF7 having pentagonal bipyramidal arrangement are

(1) xyd (2) zxd

(3) 2zd (4) 2 2x y

d

18. Which of the following cannot function as protective colloids?

(1) Gelatin (2) As2S3 sol

(3) Starch (4) Sulphur sol





A brown coloured solid (X) is obtained when chlorine gas is passed over heated copper. The compound (X) is

predominantly covalent and has a layered structure. When conc. HCl is added to an aqueous solution of (X), a

yellow coloured solution is obtained. On dilution the colour changes to green and on further dilution, the colour of

solution becomes blue.

19. How many Cl– ions are surrounding each Cu

2+ ion in solid (X)?

(1) 4 (2) 6

(3) 8 (4) 12

20. The green colour of the solution obtained by dilution of mixture of aqueous solution of (X) and conc. HCl is

due to

(1) [CuCl4]2–

only

(2) [Cu(H2O)4]2+

only

(3) [CuCl4]2–

and [Cu(H2O)4]2+

both

(4) [CuCl4]3–

only


8





21. A : Henry’s law constant of a gas is the slope of plot of Pgas vs mole fraction of gas (in dissolved form).

R : The value of Henry’s law constant of a gas increases with the increase of temperature.












and (D).

22. Match the ionic solids given in Column-I with some of their properties given in Column-II.

Column-I

(Ionic solids)

Column-II

(Properties)

(A) RbBr (P) Co-ordination number of cation = 4

(B) BeO (Q) Co-ordination number of cation = 8

(C) Mn3O4 (R) Co-ordination number of cation = 6

(D) CsCl (S) Contains metal ion in two different oxidation

states

(A)

(B)

(C)

(D)

(P)

(P)

(P)

(P)

(Q)

(Q)

(Q)

(Q)

(R)

(R)

(R)

(R)

(S)

(S)

(S)

(S)


9


MATHEMATICS




23. If 3( ) 1 f x x x then the complete set of values of x for which 31 ( ) ( ) (1 5 ) f x f x f x is

(1) (–2, 0) (2) ( , 2) (0, 2)

(3) (2, ) (4) ( 2, 0) (2, )

24. If [ ] denotes the greatest integer function then

4

0

[sin cos ]

x x dx equals

(1) – (2) –2

(3) (4) 2

25. Let

2 2

2 2

2 2

sin cos 1 4sin4

( ) sin 1 cos 4sin4

1 sin cos 4sin4

x x x

f x x x x

x x x

. The value of 4

f

is

(1) 1 (2) 2

(3) –2 (4) –1

26. If P, Q and P + Q are non-singular matrices then (P–1

+ Q–1

)(P – P(P + Q)–1

P) equals

(1) I (2) O

(3) P (4) Q

27. If

1/

2

cot , 0( ) 4

, 0

x

x xf x

ke x

be continuous at x = 0 then k equals

(1) e2 (2) e

4

(3) e–2

(4) e–4


10


28. If 1cos3

x , then the value of x is

(1) 3

2 (2)

1

2

(3) 1 (4) 0




29. Let

/2

0

sin ,nnI x dx

then

(1) 2 1 2 1

2

2 1

m m

mI I

m (2) 2 1 2 1

2 1

2

m m

mI I

m

(3) 2 1

2 1

lim 1m

m m

I

I

(4) 2 1

2 3

lim 1m

m m

I

I

30. The possible value(s) of a for which the equation 3 3 0x x a has three real and distinct roots is/are

(1) –3 (2) –1

(3) 1 (4) 3

31. If

1 3 4

5 2 2 0

4 1 6

x

x

, then value(s) of x is/are

(1) 0

(2) 17

(3) 21

(4) 35


11






Let f be a differentiable function such that 1

8 ( ) 6 5 ( 0)

f x f x xx

and 2 ( )y x f x then answer the following

questions.

32. (1)f equals

(1) 1 (2) –1

(3) 1

2 (4)

1

2

33. The value of dy

dx at x = 1 is

(1) 15

14 (2)

17

14

(3) 19

14 (4)

17

14




34. A : Derivative of tan x w.r.t. x2 is

2sec

2

x

x.

R : Derivative of f(x) w.r.t. g(x) is

( )

( )

df x

dxdg x

dx

.






12









and (D).

35. Match Column-I and Column-II.

Column-I Column-II

(A) Value of 1 12 1 1

sin cos2 2

is

(P) 4

(B) Number of point(s) where

( ) | ln| ||f x x is continuous

but non-differentiable, is

(Q) 2

(C) Maximum value of 2( ) 4 f x x x is (R) 1

(D) The area bounded by curves 2 3y x

and x = 1 (in square units) is

(S) 4

3

(A)

(B)

(C)

(D)

(P)

(P)

(P)

(P)

(Q)

(Q)

(Q)

(Q)

(R)

(R)

(R)

(R)

(S)

(S)

(S)

(S)

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Sample Paper · 2020. 9. 26. · (For Class XII Studying moving to XII Passed) - (Sample Paper)...

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