PHYSICS CLASS-XII-JEE DATE-23.06 … · Q.12 The diagram shows a small bead of mass m carrying...

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Q.1 The electric field intensity due to a thin infinity long straight wire of uniform linear charge

density at O is-

(a)02 R

(b)

0

2

2 R

(c)

0

5

2 R

(d) zero

Q.2 Figure shows a set of equipotential surfaces. The magnitude and direction of electric fieldthat exists in the region is-

(a) 10 2 V/m at 45o with x-axis (b) 10 2 V/m at 135o with x-axis

(c) 5 2 V/m at 45o with x-axis (d) 5 2 V/m at 135o with x-axis

Q.3 An electric field is expressed as^ ^

E 2 i 3 j . Find the potential difference (VA_V

B)

between two points A and B whose position vectors are given by A

^ ^r i 2 j and

B

^ ^ ^r 2 i j 3k

(a) _1V (b) 1V (c) 2 V (d) 3 V

Q.4 A thin glass rod is bent into a semicircle of radius r. A charge +Q is uniformly distributedalong the upper half and a charge _Q is uniformly distributed along the lower half, asshown in figure. Calculate electric field E at P, the center of semicircle-

(a) 2 20

Q

r (b) 2 20

2Q

r (c) 2 20

4Q

r (d) 2 20

Q

4 r

PHYSICS

Admin

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CLASS-XII-JEE

Admin

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CLASS-XII-JEE

Admin

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DATE-23.06.2019


Q.5 A particle having charge that of an electron and mass 1.6 x 10_

30 kg is projected with aninitial speed u at an angle 45o to the horizontal from the lower plate of a parallel platecapacitor as shown in figure. The plates are sufficiently long and have separation 2 cm. Themaximum value of velocity of particle for it not to hit the upper plate. (Electric fieldbetween plates = 103V/m directed upward) (g = 0)-

(a) 2 x 106 m/s (b) 62 2 x10 m / s

(c) 62 x10 m / s (d)61

x10 m / s2

Q.6 Three identical metal plates with large surface areas are kept parallel to each other as shown.The left most is given a charge Q, the right most part a charge _2Q and the middle oneremains neutral. Then which is wrong_

(a) The charge appearing on outer surface of right most plate isQ

2

(b) The charge appearing on outer surface of left most plate isQ

2

(c) The charge appearing on left surface of middle plate is3Q

2

(d) The charge appearing on right surface of middle plate is3Q

4

Q.7 Two concentric conducting thin spherical shells A, and B having radii rA and r

B (r

B > r

A) are

charged to QA and _ Q

B (|Q

B|>|Q

A|). The electric potential along a line, (passing through the

centre) is

(a) (b) (c) (d)


Q.8 Eight charges each of a value each are placed on a ring of radius R placed in x-y plane withorigin at centre. _q charge having mass m is projected from z towards the centre ofthe ring with velocity v. The velocity _q when it reaches the centre of ring is (neglectgravity)-

(a)28kq

mR(b)

28kqv

mR (c)

2216kq

vmR

(d)216kq

vmR

Q.9 In the given figure, two point charges q1 and q

2 are placed at distances a and b from a point

p inside the metallic sphere having charge Q. The electric field due to metallic sphere at thepoint P is-

(a)2 2

1 22 2

0

q q1

4 a b

(b) 20

1 Q

4 R

(c)

22

1 22 2 2

0

q q1 Q

4 R a b

(d) None of the above

Q.10 Let there be a spherically symmetric charge distribution with charge density varying as

0

5 r(r)

4 R

upto r = R, and (r) 0 for r > R, where r is the distance from the

origin. The electric field at a distance r(r < R) from the origin is given by-

(a)0

0

r 5 r

4 4 R

(b)

0

0

4 r 5 r

3 3 R

(c)0

0

r 5 r

4 3 R

(d)

0

0

4 r 5 r

3 4 R


Q.11 A spherical portion has been removed from a solid sphere having a charge distributeduniformly it its volume as shown in figure. The electric field inside the emptied space is

(a) zero everywhere (b) nonzero and uniform(c) non-uniform (d) zero only at its centre

Q.12 The diagram shows a small bead of mass m carrying charge q. The bead can freely move onthe smooth fixed ring placed on a smooth horizontal plane. In the same plane a charge +Qhas also been fixed as shown. The potential at the point P due to +Q is V. The velocity withwhich the bead should projected from the point P so that it can complete a circle should begreater than-

(a)6qV

m(b)

qV

m(c)

3qV

m(d) None of these

Q.13 Point charges q, _q, 2Q and Q are placed in order at the corners A, B, C, D, of a square of

side 2b. If the field at the midpoint of CD is zero, thenq

Q is-

(a) 1 (b) 2 (c)2 2

5(d)

5 5

2

Q.14 A cube of edge a is kept on x-axis in a region where electric field varies with distance as

^E kx i . Total electric flux associated with the cube is-

(a) ka3 (b) _3ka3 (c) 4ka3 (d) zero


Q.15 An infinite wire having charge density passes through one of the edges of a cube havinglength l. Find the total flux passing through the cube

(a)0

l (b)

04

l (c)

06

l (d) None of these

Q.16 A capacitor of 2 F is charged to a potential of 4V using a battery, and then the battery is

disconnected and the charged capacitor is connected to an uncharged capacitor of 4 Fcapacitance. When the equilibrium is established the total energy stored in the capacitors is-

(a) 16 J (b)16

J3 (c)

32J

3 (d)

32J

9

Q.17 In the given circuit when S1 and S

2 are closed. The potential of point A will be-

(a)5

V3

(b)5

V3 (c)

10V

3(d)

10V

3

Q.18 Capacity of an isolated sphere is increased n times when it is enclosed by an earthedconcentric sphere. The ratio of their radii is-

(a)2n

n 1(b)

n

n 1(c)

2n

n 1(d)

2n 1

n 1


Q.19 Initially K1 is closed, now if K

2 is also closed, find the heat dissipated in the circuit after the

switch K2 is closed

(a)1

2CV2 (b)

2

3CV2 (c)

1

3CV2 (d)

1

4CV2

Q.20 The capacity of a parallel plate condenser is C0. If a dielectric of relative permittivity r and

thickness equal to one fourth the plate separation is placed between the plates, then its

capacity becomes C. Then value of0

C

C will be-

(a)r

r

5

4 1

(b)

r

r

4

3 1

(c)

r

r

3

2 1

(d)

r

r

2

1

Q.21 A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil ofresistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ andmass ‘m’. If the temperature of the block is raised by ' T ' , the potential difference 'V 'across the capacitance is-

(a)2mC T

s

(b)

mC T

s

(c)

ms T

C

(d)

2ms T

C

Q.22 Equivalent dielectric constant of given arrangement is-

(a) 7.2 (b) 9.7 (c) 2.5 (d) None of these


Q.23 A parallel plate capacitor having capacitance C Farad is connected with a battery of emf Vvolts. Keeping the capacitor connected with the battery, a dielectric slab of dielectric con-stant K is inserted between the plates. The dimensions of the slab are such that it fills thespace between the capacitor plates, consider the following statements(i) Potential difference between the capacitor plates remains the same(ii) The capacitance increases by a factor K(iii) The energy stored increases by a factor KThen the correct statements are-(a) (i), (ii) (b) (ii), (iii) (c) (i), (ii), (iii) (d) None of these

Q.24 A dielectric slab of area A and thickness d is inserted between the plates of capacitor of area2A and distance between the plates d with a constant speed v as shown in figure. Thecapacitor is connected to a battery of emf . The current in the circuit varies with time as-

(a) (b) (c) (d)

Q.25 Capacitance of a capacitor becomes4

3times its original value, if a dielectric slab of a

thicknessd

t2 is inserted between the plates (d = separation between the plates). The

dielectric constant of the slab is(a) 2 (b) 4 (c) 6 (d) 8

Q.26 Figure shows three spherical and equipotential surfaces A, B and C round a point charge q.The potential difference V

A_V

B= V

B_V

C. If t

1 and t

2 be the distances between them, then

(a) t1= t

2(b) t

1> t

2(c) t

1< t

2(d) t

1< t

2


Q.27 Three identical metallic uncharged spheres A, B and C of radius a are kept on the corners ofan equilateral triangle of side d (d > > a). A fourth sphere (radius a) which has charge Qtouches A and is then removed to a position for away. B is earthed and then the earthconnection is removed. C is then earthed. The charge on C is

(a)Qa 2d a

2d 2d

(b)Qa 2d a

2d d

(c)Qa a d

2d d

(d)2Qa d a

d 2d

Q.28 Two capacitance C1= 2 F and C

2= 1 F are charged to same potential V = 100 V, but with

opposite polarity as shown in the figure. The switches S1 and S

2 are closed. The ratio of

final energy to the initial energy of the system is

(a) 1 (b)1

2(c)

1

9(d)

1

4

Q.29 Three uncharged capacitors of capacitances C1, C

2 and C

3 are connected as shown in the

figure to one another and to the points A, B and D at potentials VA, V

B and V

D. Then the

potential at O will be

(a)A B D

1 2 3

V V V

C C C

(b)

A 1 B 3 D 2

1 2 3

V C V C V C

C C C

(c)2 2 2

A 1 B 2 D 32 2 21 2 3

V C V C V C

C C C

(d)

A B D

1 2 2 3 3 1

V V V

C C C C C C

Q.30 A parallel plate capacitor has two layers of dielectrics as shown in figure. This capacitor isconnected across a battery, then the ratio of potential difference across the dielectric layersis

(a)4

3(b)

1

2(c)

5

2(d)

3

2


CHEMISTRY

Q.1 0.1 M Nal and 0.2 M AgNO3 are mixed together in the volume ratio 3 : 1. What will be the elevation

in b.pt in °C of resulting solution Kb= 0.51 K molality 1 ?

(a) 0.0765 (b) 0.765 (c) 1.765 (d) 0.675

Q.2 On the basis of information given below mark the correct option.(i) In bromoethane and chloroethane mixture intermolecular interactions of A - A and B - B type

are nearly same as A - B type interactions.(ii) In ethanol and acetone mixture A - A or B - B type intermolecular interactions are stronger than

A - B type interactions.(iii) In chloroform and acetone mixture A - A or B - B type intermolecular interactions are weaker

than A - B type interactions.(a) Solution (II) and (III) will follow Raoult’s law.(b) Solution (I) will follow Raoult’s law.(c) Solution (II) will show negative deviation from Raoult’s law.(d) Solution (III) will show positive deviation from Raoult’s law.

Q.3 A mixture of two immiscible liquids 6 5C H Cl and 2H O boils at 89°C and vapour pressure of

6 5C H Cl at 89°C is 41.2 10 Pa. The vapour pressure of water at 89°C is 46.7 10 Pa. What is the

weight ratio of chlorobenzene in the distillate ?(a) 3.4 (b) 1.12 (c) 3.6 (d) 5

Q.4 Aqueous solution of 0.004 M 2 4Na SO and 0.01 M glucose are isotonic. The degree of dissociation

of 2 4Na SO is :

(a) 25% (b) 60% (c) 75% (d) 85%

Q.5 Which of the complex in its 1 molal solution with 100% ionisation will show a boiling point of

102.08°? (Kb for water = 0.52 K molality 1 )

(a) 4 6Fe Fe CN (b) 3 6K Fe CN

(c) 4 6K Fe CN (d) None of these

Q.6 Select the correct statement.(a) The vapour pressure of a liquid depends on the size of the vessel.(b) The components of an azeotropic solution can be separated by simple distillation.(c) Solvent particles move from hypertonic solution to hypotonic solution, if separated by

semipermeable membrane.

(d) 0.1 N solution of NaCl is hypertonic with respect to 0.1 N solution of 2 4Na SO .


Q.7 If quantities f b pT , T , and without subscript refer to the electrolyte solution and these with

subscript refer to the non - electrolyte solution then which one is wrong ?

(a) f

f 0

Ti

T

(b)

b

b 0

Ti

T

(c) 0

Pi

P

(d) 0

i

Q.8 The freezing point (in °C) of a solution containing 0.1 g of 3 6K Fe CN (molar mass 329) in

100 g of water 1f(K 1.86 K kg mol ) is :

(a) 22.3 10 (b) 25.7 10

(c) 35.7 10 (d) 21.2 10

Q.9 The plot of the logarithm of the vapour pressure of methanol against the reciprocals of the corre-

sponding absolute temperatures produces a graph whose slope is 11843.6K . What is the heat of

vaporisation of the liquid ?

(a) 130.2kJ mol (b) 132.5kJ mol (c) 135.3kJ mol (d) 135.5kJ mol

Q.10 pKa for monobasic acid is 6. What will be its vant Hoff factor at 0.01 M concentration.

(a) 1.01 (b) 1.02 (c) 1.03 (d) 1.10

Q.11 At freezing point of a liquid, which one is correct relation ?

Liquid solvent Solid solvent

(a) H T S (b) S G (c) G H (d)H

S

Q.12 The vapour pressure of pure benzene at 25°C is 639.7 mm of Hg and the vapour pressure of a

solution of a solute in 6 6C H at the same temperature is 631.9 mm of Hg. Calculate molality of

solution.(a) 0.138 m (b) 0.48 m (c) 0.23 m (d) 0.158 m

Q.13 0.01 M aqueous solution of weak acids HA and HB shows osmotic pressures equal to 0.30 atm and0.35 atm respectively at 25°C. Calculate the ratio of their degree of dissociation.(a) 0.82 (b) 0.72 (c) 0.52 (d) 0.62

Q.14 The vapour pressure of a certain liquid is given by the equation :

10 10313.7

log P 3.54595 1.40655log T,T

where P is the vapour pressure in mm and T is temperature in K. Determine molar latent heat ofvaporisation as a function of temperature and calculate its value at 80 K.(a) 1.670 kcal (b) 16.70 kcal (c) 1670 kcal (d) 167.0 kcal


Q.15 Which of the following graphs given below shows the time dependence of rate of condensation (A)and rate of evaporation (B) for a liquid, when the beaker is covered at time = 0 :

Q.16 What is the major product of the following reaction ?

O CH MgI3

Et O2

H O3

(a)

CH3

CH2 OH

(b)

OH

CH2 CH3

(c)

OCH3

CH3

(d)

OH

CH3

Q.17 PhMgBr

O

O O H+

(A)H O2

. Product (A) is :

(a) Ph C Ph

O

(b) Ph C Ph

OH

Ph

(c) Ph C

OH

Ph(d) Ph C

O

O


Q.18

C

O

C

O

Cl

Cl

(i) x CH MgBr3

(ii) H / H O2+

C

OH

CH3

CH3

C

Me OHMe

Number of moles of 3CH MgBr consumed in above reaction is :

(a) 2 (b) 4 (c) 6 (d) 8Q.19 End product of the given reaction is :

Cl

Mg

EtO2(A)

1.CH O2

2.H O3

(B)

(a)

OH

(b)OH

(c)

OH

(d)

Q.20 In the reaction sequence :

O

(i) CH MgBr/CuCl3

(ii) H O/H2

(X), Product (X) will be :+

(a)

CH3 OH

(b)

OH

CH3

(c)

OCH3

OH

(d)

CH3

OH CH3


Q.21 Give the expected product of the following reaction.

Cl

OO

1. MeMgBr (excess)

2. H O2

(a)H CO3

O OH

CH3

(b)HO

O OH

CH3

(c)

HO

H C3

CH3

O (d)

HO

H C3

CH3

CH3

OH

Q.22

CH3

Br

CH3

NaOCH3

CH OH3

(E reaction)2

Product ; Product of the reaction is :

(a) (b) (c)OCH3

(d) No reaction

Q.23

NMe3

HO A

(Major)

Major product A is :

(a) (b) (c) (d)


Q.24

CH3

Ph HPh Br

CH3

alc. KOH

(E reaction)2

Major product of the reaction is :

(a) C CPh

Ph

CH3

CH3

(b) C CPh

CH3CH3

Ph

(c)CH3

C CCH3

Ph

Ph(d)

CH3

Ph CH CH Ph

OH

Q.25

CH3

Cl

NaOEt

Major product of the reaction is :

(a)

CH3

(b)

CH3

(c)

CH3

(d)

CH3

Q.26

Br

EtO (A) Major

NMe3

EtO (B) Major

Relation between (A) and (B) is :(a) G.I. (b) Positional isomer(c) Enantiomer (d) Chain isomer


Q.27 Predict the product when given compound reacts with LiAlH4 :

O

CH

O

COCH3

O

(A)

(a)

OH

O

C O C

O

(b)

OH

OH

C O C

O

(c)

OH

OH

OH(d)

C

OH

OH

C

H

Q.28

OCO Et2

LiAlH4

OH CH OH2

; Product of the reaction is :

(a) Racemic (b) Diastereomer (c) Meso (d) Optically pure

Q.29(a) RCO H3

(b) CH MgBr (c) H ,H O3 2

+(A) ; Product of the reaction is :

(a)

OH

CH3

(b)

OH

CH3

(c)

OH

OH

(d)

CH3


Q.30 The major product formed in the reaction is :

O OCH R2

H O3

+

?

(a)O

+ RCH OH2 (b)HO

CH R2

O

(c)HO

+ RCH OH2

CHO(d)

HO HO OCH R2


Test Paper (Math Class-XII)

Q.1 Range of function 1 1 1sin cos tanx x x

f x

is

(a)1 3

,4 4

(b) 0, 1 (c)3

,3 4

(d)1 3

,4 4

Q.2 Domain of the function 2sin cos 8 7x x x x is

(a) 1, 7 (b) 71, , 7

4

(c)3 7

1, , 74 4

(d) None of these

Q.3 If the function : ,2 2

g R

is given by 12 tan ,

2ug u e

then g is

(a) even & is strictly increasing on R

(b) odd & is strictly decreasing on R(c) odd & is strictly increasing on R(d) neither even nor odd but is strictly increasing on R.

Q.4 The range of the function 12 1 5

10x x

x

is

(a) 0, (b) 4, (c) 2, (d) R

Q.5 f x is defined as 2

1

1 4

2 4x

x x

f x x x

x

1 32f

(a) 32 (b) 4 2 (c) 5 (d) 64

Q.6 If 1 1 1 3sin sin sin ,

2x y z

the value of2017 2018 2019

2017 2018 2019

9x y z

x y z

(a) 0 (b) 1 (c) 2 (d) Can’t be determined.

MATHEMATICS



Q.7 If 11

2x

then 1 2sin 2 1x x

(a) 12sin x (b) 12sin x (c) 12 sin x (d) 12sin x

Q.8 Null relation on R is(a) Symmetric (b) asymmetric (c) antisymmetric (d) all of these.

Q.9 If relation 1, 2R on 1, 2A then R is(a) antisymmetric & transitive but not asymmetric(b) asymmetric & transitive both(c) transitive Only(d) Neither transitive nor symmetric

Q.10 Total number of possible symmetric relation for the set 1, 2, 3A is(a) 8 (b) 64 (c) 16 (d) 32

Q.11 Total number of possible transitive relation for the set ,B a b is(a) 13 (b) 12 (c) 16 (d) 9

Q.12 Total number of possible onto mapping for :f A B where

1, 2, 3, 4, 5A , , ,B a b c is(a) 243 (b) 32 (c) 93 (d) 150

Q.13 Let f be a real valued function defined on the interval 1, 1 such

that 4

02 1 , 1, 1

xxe f x t dt x and let 1f be the inverse

function of f. Then 1 2f is equal to

(a) 1 (b)1

3 (c)

1

2(d)

1

e

Q.14 If :f R R is given by

4096

4096 64

x

xf x then the value of

1 2 3 2017......

2018 2018 2018 2018f f f f

is

(a) 1008 (b) 1009 (c) 1008.5 (d) 1009.5



Q.15 Let f x be a polynomial function satisfying

. 2f x f y f x f y f xy , .x y R If 2 17f then 3f

is equal to

(a) 82 (b) 81 (c) 28 (d) 27

Q.16 Number of solution 1 cos cos2sin 2 2

4x xx

is

(a) 0 (b) 1 (c) 2 (d) More than 2

Q.17 Fundamental period of which of following function is NOT ?2

(a) cos cos cos sinf x x x

(b) 2 4sin cosg x x x

(c)

min 4 , sin 4 0

4 , sin 4 0

x x xf x

max x x x

(d) log sinx

P x e where . denotes fractonal part of x.

Q18. Range of the function 20.5log 3 2f x x x is

(a) , 2 (b) 2, (c) R (d) 2R

Q19. If

8

2 2

log( / )log 2

log log

x yx

x y

&

8

2 2log log 0log log

x yy

x y

then

value of xy

(a) 100 (b) 10 (c) 1 (d) Can’t the determined

Q 20. Let f be real valued function satisfying on R such that

1 1 3 ,f x f x f x then f x is(a) Periodic with fundametal Period 6(b) Periodic with fundametal Period 12(c) Non periodic(d) Periodic with indeterminate period.



Q 21. If the function f x satisfies 12

1f x f x

x

, then for 1x R

2f

(a)2

3 (b)

1

3 (c) 1 (d)

1

2

Q 22 Domain of 1 1sin log log sinx x is ( Where denotes G.I.F. )

(a) 1, 2 (b) 2, (c) , 1 (d) 1, 2

Q 23. Polynomial P x contains only three terms of odd degree when P x is

divided by 3x , the remainder is 6 & if P( x ) is divided by 2 9x then

remainder is g x value of 2g is equal to(a) 2 (b) 0 (c) 4 (d) 8

Q 24.The value of 3

2

1 1 1 16 log 4 4 4

3 2 3 2 3 2 3 2

is

(a) 0 (b) 3 (c) 1 (d) 4

Q 25.Let :f R R be real valued function such that x x

x x

e ef x

e e

, then

function is(a) one-one & onto (b) many one & onto(c) many one & into (d) one one & Into

Q 26. If :f N N such that

21

nn is even

f nn n is odd

then function is

(a) one- one & onto (b) one- one & into(c) many one & onto (d) many one & into

Q 27. Number of solution of equation 1 2 3 2x x x is(a) 1 (b) 0 (c) 2 (d) more than 2



Q 28.The value of x for which 1 1sin cot 1 cos tanx x is

(a)1

2(b) 1 (c) 0 (d)

1

2

Q 29. If 3 2 2& 0 ,f x x bx cx d b c then in

(a) f x is strictly increasing function

(b) f x is non monotonic function

(c) f x is strictly decreasing function.

(d) f x is bounded

Q .30. If sin cos ,f x x x 2 1g x x then gof x is invertible in thedomain.

(a) 0, 2 (b) ,4 4

(c) ,2 2

(d) 0,


ANSWER KEYSUNDAY TEST-23.06.2019

CLASS-XII-JEE

(PHYSICS)1. (A) 2. (A) 3. (A) 4. (A) 5. (B)

6. (D) 7. (C) 8. (C) 9. (A) 10. (C)

11. (B) 12. (A) 13. (D) 14. (A) 15. (B)

16. (B) 17. (A) 18. (B) 19. (C) 20. (B)

21. (D) 22. (B) 23. (C) 24. (D) 25. (A)

26. (C) 27. (C) 28. (C) 29. (B) 30. (D)

(CHEMISTRY)1 - A 2 - B 3 - B 4 - C 5 - B

6 - D 7 - C 8 - A 9 - C 10 - A

11 - A 12 - D 13 - C 14 - A 15 - B

16 - B 17 - B 18 - B 19 - B 20 - B

21 - D 22 - D 23 - B 24 - C 25 - B

26 - B 27 - C 28 - B 29 - B 30 - C

(MATHEMATICS)1 - a 2 - c 3 - c 4 - b 5- c

6- a 7- b 8- d 9 - b 10 - b

11 - a 12 - d 13 - b 14 - c 15 - a

16 - c 17 - d 18 - b 19 -c 20 - b

21 - a 22 - a 23 - c 24 - d 25 - c

26 - c 27 - a 28 - d 29 - a 30 - b

PHYSICS CLASS-XII-JEE DATE-23.06 … · Q.12 The diagram shows a small bead of mass m carrying...

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