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ENGINEERING

(Class XII Studying moving to XII Passed)

Physics, Chemistry & Mathematics

thDate : 18 December 2020

G

ANTHE-2020 (Engineering) (For Class XII Studying Moving to XII Passed) - (Code-G)

1

Space for Rough Work

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. Electric field in a region is 2ˆ3E x i N/C, where x is in m. Potential difference between points A(3, 0) and

B(0, 3) is [VA – V

B]

(1) 9 V (2) 27 V

(3) –9 V (4) –27 V

2. A point charge ‘q’ is placed in front of a neutral conducting spherical shell as shown, then

(1) Field inside the shell is non-zero (2) Field inside the shell is zero

(3) Potential at center of shell is zero (4) Potential inside the shell is not constant

3. For the part of circuit shown, potential difference between A and B is

(1) 18 V (2) 21 V

(3) 27 V (4) 24 V

(For Class XII Studying Moving to XII Passed) - (Code-G) ANTHE-2020 (Engineering)

2


4. Two concentric identical circular coils each of radius R with their planes perpendicular carries equal currents

I0. The magnetic field at center is

(1) 0 0

2

I

R

(2) 0 0

2 2

I

R

(3) 0 0

2

I

R

(4) 0 0

2 2

I

R

5. For a series LCR circuit at resonance

(1) Current amplitude is minimum

(2) Voltage across inductor is always equal to voltage across resistor

(3) Current amplitude depends on resistance of the circuit only

(4) Current lags voltage by /4

SECTION-II : MORE THAN ONE ANSWER TYPE


MORE THAN ONE answer may be correct.

6. In shown circuit switch ‘S’ is closed at time t = 0. At time t = t0, current through battery is 02

3

V

R and current

through capacitor is I1, then at t = t0

(1) 01

3

VI

R (2) 0

12

V

IR

(3) Voltage across capacitor is 0

3

V (4) Voltage across capacitor is 0

2

V


3


7. A charge particle (q, m) is projected with velocity 0ˆv i in uniform magnetic field 0

ˆB k which exists in region

of width 0

0

3

2

mvd

qB If charge particle exits the region with velocity

v after spending time t then

(1) 0

3 ˆ ˆ2

v v i j (2)

0

ˆ 3 ˆ2 2

iv v j

(3) 03

mt

qB (4)

06

mt

qB

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

Two plates each of area A and separation d are placed facing each other. Both the plates are given charges q

and 5q as shown.

8. Electric field in the region between plates is

(1) 0

q

A (2)

0

2q

A

(3) 03

q

A (4)

02

q

A


4


9. Force of interaction between the plates is

(1) 2

0

5

2

q

A (2)

2

0

2q

A

(3) 2

0

2

3

q

A (4)

2

02

q

A

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 : If frequency of alternating current in an AC circuit consisting of an inductance coil is increased then

current decreases.

R : The current is directly proportional to the frequency of alternating current.

(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

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.

For each entry in Column-I, tick the boxes of all the matching entries in Column-II. For example, if entry (A) in

Column-I matches with entries (P) & (S) in Column-II, then tick the boxes (P) & (S). Similarly, tick the boxes for

entries (B), (C) and (D).


5


11 Column-II gives dependence of electric field (E) as a function of distance (r) at a point P from different

system of charges indicated in Column-I. Match the entries of Column-I with the entries of Column-II.

Column-I Column-II

(A) Single point charge

(P) 0

1E

r

(B) Line charge of uniform charge density

(Q) 1

Er

(C) Infinite plane having uniform charge density

(R) E r

(D) Non-conducting solid sphere of radius R having

uniform charge density

(S) 2

1E

r

CHEMISTRY




12. Chromium has a bcc arrangement for its unit cell with density 8 g/cc. If the unit cell is mistakenly assumed to

be FCC, what would be its density?

(1) 6.53 g/cm3 (2) 8.70 g/cm

3

(3) 13.06 g/cm3 (4) 4.35 g/cm

3


6


13. At 40°C, the osmotic pressure of blood is 8 atm. How much glucose should be used per litre for an

intravenous injection that is to have the same osmotic pressure as blood at the same temperature?

(1) 90.3 g (2) 56.1 g

(3) 70.2 g (4) 80.5 g

14. A current of 0.2 A is passed through one litre of 0.2 M NaCl solution for an hour. Calculate pH of the solution

at 25ºC after electrolysis if current efficiency is 80%. (Given, log(5.96) = 0.775)

(1) 13.55 (2) 11.77

(3) 10.20 (4) 9.55

15. A first order reaction is 50% complete in 40 min at 27°C and in 20 min at 47°C. The activation energy of the

reaction is

(1) 18.441 kJ (2) 27.661 kJ

(3) 55.323 kJ (4) 73.764 kJ

16. If a cube of edge length 2 cm is subdivided into colloidal size cubes, each having an edge length of 10–8

cm,

what would be total surface area of new cubes formed?

(1) 9.6 × 109 cm

2 (2) 4.8 × 10

10 cm

2

(3) 4.8 × 109 cm

2 (4) 9.6 × 10

8 cm

2




17. 3 4 2 2 2 4Fluorapatite

[3(Ca (PO ) ) CaF ] 7H SO A 2HF

3 4 2 2 3 4[3(Ca (PO ) ) CaF ] 14H PO B 2HF

Which of the following is/are correct about the above reactions?

(1) A = 3Ca(H2PO4)2 + 7CaSO4, is called superphosphate

(2) B = 10Ca(H2PO4)2, is called triple superphosphate

(3) Fluorapatite are very soluble and thus are very useful to plants

(4) The CaSO4 is an insoluble waste product and is of no value to plants


7


18. Which of the following among the given statement(s) is/are correct?

(1) 2VO is pale yellow

(2) 2

4CrO is strongly yellow coloured

(3) Aquated complex of Mn3+

is violet in colour

(4) The source of colour in the lanthanides and the actinides is very similar, arising from f – f transition





NaOH excess

NaOHMetal ion White ppt Colourless solublecomplex

A B C

2

dil. HCl

H SA Orange sulphide (soluble in yellow ammonium sulphide) (D)

Compounds of metal ion A give white colour sublimate and an orange colour precipitate when treated with

H+/H2S.

Answer the following questions.

19. Compound D is

(1) Sb2S3

(2) CdS

(3) As2S3

(4) As2S5

20. Inorganic compounds B and C respectively are

(1) Sb2O3, [SbO2]–

(2) Sb2O5, [SbO3]–

(3) Sn(OH)2, [Sn(OH)4]2–

(4) Cd(OH)2, [Cd(OH)4]2–


8





21. A : Under the influence of weak field ligand, the degeneracy of d-orbital is not lost.

R : After splitting of d-orbitals, Hund’s rule is not violated anywhere.












22. Match the Columns.

Column-I Column-II

(A) [MnCl4]2–

(P) Paramagnetic

(B) [CoCl4]2–

(Q) Number of unpaired electrons greater than 4

(C) [Cu(CN)4]3–

(R) Square planar

(D) [Cu(NH3)4]2+

(S) d-orbital is not involved in the hybridization


9


MATHEMATICS




23. Let A and B are two sets such that n(A) = 4 and n(B) = 5 then total number of possible one-one mappings

f : A B is

(1) 45 (2) 5

4

(3) 120 (4) 24

24. The value of 1 11 1sin cos

2 2

+ tan–1

1 + cot–1

1 + sec–1

(–2) + cosec–1

(–2) is

(1) 0 (2) 2

(3) (4) 3

2

25. If 2cos , 0

( )2 , 0

x xf x

ax b x

be a differentiable function at x = 0 then a + b equals

(1) 0 (2) 1

(3) 2 (4) 3

26. If A is an invertible matrix such that A2 – 4A + I = O then A

–1 equals (where I is identity matrix of same order

as A)

(1) A – 4I (2) 4I – A

(3) 2A (4) A + 4I

27. If f(x) is an increasing function such that f(x – 3) > f(1 – x) then complete set of values of x is

(1) x (2, ) (2) x (–, 2)

(3) x (–, –2) (4) x (–2, )


10


28. The value of

/32 2

/6

cosec sec

x x dx equals

(1) 4

3 (2)

4 3

3

(3) 4 2

3 (4) 4 3




29. Let f : R R be such that f (x) = (x – 1)2(x – 2)(x + 3) (x

2 – 7x + 10) then f(x) has maxima or minima at

(1) x = 1 (2) x = 2

(3) x = –3 (4) x = 5

30. Let A be the area of region bounded by the curve y = x2, lines y = 0 and x = 1, then

(1) 1

3A (2)

1

6A

(3) 1

2A (4)

1

4A

31. Let I =

0

[ ] ,

k

x dx where [ ] represents the greatest integer function, then

(1) If k = 1 then I = 0 (2) If k = 2 then I = 1

(3) If k = 3 then I = 2 (4) If k = 4 then I = 6





11



Let f(x) = cos–1

x + tan–1

x

32. The domain of f(x) is

(1) , 2 2

x

(2) [ 1, 1]x

(3) x R (4) x (empty set)

33. Maximum value of f(x) is

(1) (2) –

(3) 3

4

(4)

2




34. A : If x > 0 then f(x) = |lnx| is always continuous.

R : If x > 0 then f(x) = |lnx| is always differentiable.










12





35. Match Column-I with Column-II.

Column-I Column-II

(A)

/2

0

sin

sin cos

xdx

x x

equals

(P)

1

2

(B) The value of tan–1

1 is greater than or equal to (Q) 4

(C) The number of points where f(x) = |x – 1| + |x – 2| is

non-differentiable is (R)

2

(D) If 2

2( )

1

xf x

x

then f(1) equals (S) 2

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