SRIGAYATRI EDUCATIONAL INSTITUTIONS...2020/10/05 · 11. The line passing through the points (5, 1,a) and (3,b,1) crosses yz-plane at the point 17 13 0, , 22 · ¨¸ ©¹ then 1)

SRIGAYATRI EDUCATIONAL INSTITUTIONS

INDIA

SR MPC Time: 3:00 Hrs. Date: 10-05-2020 Max. Marks: 300 M

MATHEMATICS

SECTION-I (SINGLE CORRECT ANSWER TYPE)

This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct.

Marking Scheme: +4 for correct answer, 0 if not attempted and -1 if not correct

SYLLABUS: 3D AND VECTOR ALGEBRA

1. If G is centroid of ABC , G1 is centroid of 1 1 1A B C then 1 1 1AA BB CC

1) 0 2) 1GG 3) 12GG 4) 13GG

2. If 3 4 . 2AB i k BC i k are the sides of the triangle ABC. Then length of the median

Am is

1) 25

2 2)

45

2 3)

65

2 4)

85

2

3. Two sides of a parallelogram are given by 2 4 2 2i j k and i j . Then length of diagonals

are

1) 24, 5 2) 9,49 3) 7, 3 4) 24, 6

4. If , ,a b c are unit vectors and the maximum value of 2 2 2

,a b b c c a is k then

2 2 22 3 4k a b c

1) 6 2) 8 3) 9 4) 12

5. If 1 1 2 2, , ,P x y Q x y are two points on the curve 2 3 1y x x .If . 1, . 1OP i OQ i .

Then 2 3OP OQ

1) 2 5 2) 5 2 3) 8 4) 11

6. In , ,ABC OA a OB b OC c . If P r is any point in the plane of ABC such that

. . . . . .b c a r c a b r a b c r then P is ___of the ABC

1) incentre 2) circum centre 3) orthocentre 4) centroid

7. If ,AB b AC c then the length of the perpendicular from A to the line BC is

1) b c

b c

2)

b c

b c

3)

1

2

b c

b c

4) 2

b c

b c

8. A tetrahedron has vertices P(1,2,1), Q(2,1,3), R(-1,1,2) and O(0,0,0) then the angle between the

faces OPQ and PQR is

1) 1 19cos

35

2) 1 7cos

31

3) 1 17cos

31

4) 1 9cos

35

9. P b c Q c a r a b and . 1a b c then , ,a b c

1) p q r 2) 1

p q r 3) 2 p q r 4)

2

p q r

JEE MAINS UNIT TEST-5

S R I G A Y A T R I E D U C A T I O N A L I N S T I T U T I O N S - I N D I A

Page | 2 SR MPC 10 MAY 2020

10. If the vectors , ,ai j k i bj k i j ck a b c are coplanar then

1 1 1

1 1 1a b c

1) 0 2) 3 3) 2 4) 1

11. The line passing through the points (5, 1,a) and (3,b,1) crosses yz-plane at the point

17 13

0, ,2 2

then

1) 4, 6a b 2) 6, 4a b 3) 8, 2a b 4) 2, 8a b

12. If a line makes angles , , with the positive coordinate axes then the range of

sin ,sin sin .sin sin sin is

1) 1

,12

2) 1

,22

3) 1,1 4) 1,2

13. If 3,1, 2 , 1,0,1A B and ,l m are the projections of AB on the y-axis , zx-plane

respectively 23 1l m

1) -1 2) 0 3) 1 4) 9

14. The image of (1,3,4) in the plane 2 3 0x y z

1) (3,-5,2) 2) (3,5,-2) 3) (-3,5,2) 4) (3,5,2)

15. If 0,1,0 , 0,0,1P Q then the projection of PQ on the plane 3x y z is

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

16. A variable plane is at a constant distance 3P from the origin and meets the axes in A, B and C.

The locus of the centroid of the triangle ABC is

1) 2 2 2 2x y z P 2) 2 2 2 23x y z P 3) 2 2 2 29x y z P 4) 2 2 2 216x y z P

17. The equation of the line drawn through point (1,0,2) to meet the line 1 2 1

3 2 1

x y z

at right angles

1) 1 2

1 2 7

x y z

2) 1 2 2

1 2 7

x y z

3) 1 2 3

1 2 7

x y z

4)

1

1 2 7

x y z

18. If 1, 5, 10P and Q is the points of intersection of the line 2 1 2

3 4 12

x y z and the

plane 5x y z then PQ =

1) 13 2) 139 3) 5 4) 12

19. If the lines 4 2

1 1 3

x y z and

2

1 2 4

x y z intersect each other, then lies in the

interval

1) (9, 11) 2) (-5, -3) 3) (13, 15) 4) (11, 13)

20. The image of the line 1 3 4

3 1 5

x y z

in the plane 2 3 0x y z is the line

1) 3 5 2

3 1 5

x y z

2)

3 5 2

3 1 5

x y z

3) 3 5 2

3 1 5

x y z

4)

3 5 2

3 1 5

x y z



SECTION-II (Numerical Value Answer Type)

This section contains 5 questions. The answer to each question is a Numerical values

comprising of positive or negative decimal numbers.

Marking Scheme: +4 for correct answer, 0 in all other cases.

21. If 2

. ,a b b c c a a b c then

22. Let u be a vector coplanar with the vectors 2 3 , .a i j k b j k If u is perpendicular

to a and . 24u b then 2

u

23. 2,3,5 , 1,3,2 ,5,A B and C are the vertices of a triangle. If the median Am is

Equally inclined to the coordinate axes then

24. In the ABC if 2,3,4A and the mid points of BC, CA, AB are (1, -4, 2), (-5, 2, -3),F

respectively then _____x zF F

25. If the plane 2 3 5 2 0x y z divides the line segment joining the points (1,2,3) and (2,1,k) in

9:1 then k = _____

PHYSICS

SECTION-I (SINGLE CORRECT ANSWER TYPE)

This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct.

Marking Scheme: +4 for correct answer, 0 if not attempted and -1 if not correct

SYLLABUS: ELECTRICITY

26. The average current is a sinusoidally varying a.c of peak value 5A with initial phase zero,

between the instants 8 4

T Tt to t is.

1) 10

2A

2) 5

2A

3) 20

2A

4) 10

A

27. A circuit operating at 360

2Hz

contains 1 F capacitor and 20resistor. The inductor must be

added in series to make the phase angle for the circuit zero is

1) 9H 2) 7.7H 3) 14H 4) 18H

28. A 8 F capacitor is connected across 220V and 50Hz line. The peak value of charge through

the capacitor is

1) 42.5 10 C 2) 55 10 C 3) 32.5 10 C 4) 27.5 10 C

29. A coil of resistance 20 and inductance 0.5H is switched to 200dc V supply. Calculate the

rate of increase in current at the instants of closing the switch.

1) 200 /A s 2) 300 /A s 3) 100 /A s 4) 400 /A s

30. A square of side ‘L’ meter lies in the XY-plane in a region where the magnetic field is given by

0ˆˆ ˆ2 3 4 ,B B i j k T

0' 'B is constant. Find the magnetic flux passing through the square

(in wb)

1) 2

04 B L 2) 2

02 B L 3) 2

03B L 4) 2

0B L



31. Calculate the maximum power induced in the coil of 100 turns of 0.01m3 area rotating at the

rate of 50 rps about an axis perpendicular to uniform magnetic field of 0.05T. The resistance

of the coil is 30

1) 4.23 w 2) 8.03 w 3) 8.23 w 4) 8.52 w

32. A proton is projected with a velocity of 107 m/s at right angles to uniform magnetic field by

induction 100 mT. The time taken by proton to traverse 600 arc is.

1) 70.81 10 s 2) 71.05 10 s 3) 71.62 10 s 4) 73.34 10 s

33. The instantaneous acceleration of an electron in a magnetic field

ˆ ˆˆ ˆ ˆ ˆ2 3 4 .B i j k is a xi j k

The magnitude of acceleration is 1ms

1) 1.5 2) 1.5 3) 0.5 4) 2.5

34. A charge ‘q’ move with a velocity 12ms along x-axis in a uniform magnetic field

ˆˆ ˆ2 3 ,B i j k T

charge experiences force in

1) X-Y Plane 2) along Y axis 3) along Z axis 4) Z-Y Plane

35. A current 1A flows downwards in a long straight vertical conductor and the earths horizontal

magnetic field is 75 10 ,T then the neutral point occurs

1) due north 10cm from the wire 2) due east 10cm from the wire

3) due east 0.4cm from the wire 4) due west 5cm from the wire

36. A battery is connected to resistance of 10 the current in the circuit is 0.12 A. The same

battery gives 0.07A current with 20 . Find the emf of the battery

1) 1.5 v 2) 1.68 v 3) 1.8 v 4) 1.78 v

37. Find the value of I3

1) 2.129 A 2) 3.2 A 3) 3.219 A 4) 4.62 A

38. In a potentiometer experiment the balancing length a cell is 560 cm. When an external

resistance is connected in parallel to the cell the balancing length changes by 60cm. If the

internal resistance of the cell is 1.2 . Find the external resistance.

1) 10 . 2) 20 . 3) 30 . 4) 40 .

39. If the length of the filament of a heater is reduced by 10% the power of the heater will be

1) 12% 2) 11% 3) 13% 4) 14%

40. Two similar conducting plates are placed at a distance of ‘d’ as shown in the figure. What is

potential difference between them

1) 0

Qd

A 2)

0

5Qd

A 3)

0

Qd

A

4)

0

5Qd

A

41. Three point charges are arranged as shown in the figure. Find the position of the charges such

that P.E of the system is minimum (in cm)

1) 3,10,0 2) 0,3,8 3) 0,9,3 4) 0,3,9



42. A parallel plate capacitor with air as the medium has a capacitance of 0.5 F . Half of its

space is filled with a dielectric of k = 2 and the other half is filled with a dielectric of k = 3

Find its net capacity (in F )

1) 2.5 2) 3.125 3) 2.6 4) 1.25

43. Semi circular ring of radius 0.5 m is uniformly charged with a total charge of 191.4 10 C .

The electric field intensity at the centre of the ring is (in V/m)

1) 12 2) 16 3) 32 4) 30

44. Find the net electric dipole moment of the system of charges as shown in the figure

1) ˆ ˆ2

qli j 2) ˆ3qj 3) ˆ3 ql j 4) ˆ2ql j

45. An electron initially at rest falls at a distance of 1.5 m in a uniform electric field of magnitude 42 10 / .N c The time taken by the electron to fall this distance is (in sec)

1) 92.9 10 2) 21.3 10 3) 101.6 10 4) 122.1 10

SECTION-II

(Numerical Value Answer Type)




46. The bob of a simple pendulum has mass of 40g and a positive charge 64 10 C . It makes 20

oscillations in 45 sec. A vertical electric field pointing upward and a magnitude 42.5 10 /N C

is switched on. How much time will it take for 20 oscillations___

47. An electric field ˆˆ ˆ10 30 40 /E xi y j zk N C

exists in the space. Take the potential at (0,0,0)

to be zero, find the potential at (1m, 2m, 3m). ____

48. In a meter bridge, the null point is found at a distance of 33.7 cm from ‘A’. If a resistance of

12 is connected in parallel with ‘s’ the null point occurs at 51.9 cm. Find the value of ‘s’____

49. A charged particle of charge 4 milli coulomb enters uniform magnetic field

ˆˆ ˆ3 6 6B i j k T

with a velocity ˆˆ ˆ4 .V i xj yk

If the particle moves undeviated find

the magnitude of its velocity.______

50. The magnetic flux through a coil perpendicular to the plane is varying according to the

relation 3 25 4 2 5 .t t t wb If the resistance of the coil is 5 , find the induced current in

it at 2sec_____t



CHEMISTRY SECTION-I

(SINGLE CORRECT ANSWER TYPE) This section contains 20 multiple choice questions. Each question has 4 options (1),

(2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking Scheme: +4 for correct answer, 0 if not attempted and -1 if not correct

SYLLABUS: FIRST YEAR ORGANIC CHEMISTRY

51. Which of the following will have fastest rate of reaction with 2 3/Br FeBr

1) 2)

2NO

3)

3CH

4)

3OCH

52. Geometrical Isomerism is possible in

1) 2) 3) 4)

53. Which of the following molecule significant 0.

1) Cl

Cl

2) CN

CN

3)

OH

OH 4)

SH

SH

54. Which of the following is most stable cation.

1) 3 3CH CH CH

2)

3CH

3CH C

3CH

3) 3 2 2CH CH CH

4)

6 5C H6 5C H C

6 5C H

55. The IUPAC name of the compound

O

3CH

1) propylene oxide 2) 1,2 0 0 propane 3) 1,2 - epoxy propane 4) 1,2 - prop oxide

56. 2,3 – pentadiene exhibits optical Isomerism since it.

1) contains one chiral carbon

2) contains two chiral carbons

3) does not contains any chiral carbon but molecule as a whole is chiral

4) does not exhibits optical isomerism

57. The major product obtained in the photobromination of 2-methyl butane is

1) 1-bromo-2-methyl butane 2) 1-bromo-3-methyl butane

3) 2-bromo-3-methyl butane 4) 2-bromo-2-methyl butane

58. Which of the following compounds are Anti-Aromatic



O

I

II

III

IV

1) only III 2) I, II 3) II, III 4) I, II, III

59. 3/ .' Na Liq NHLindlar s

CatalystB R C C R A

1) A-trans, B-cis 2) A-cis, B-trans 3) A,B are cis 4) A, B are trans

60.

3

3 2 2 ,AlCl

CH CH CH Cl A

what is A.

1) 2)

3) 4)

Cl

61. 3

2

2 ,moles

CH ClCH CH NaNH A B then B is

1) 1-Butyne 2) 2-Butyne 3) 2-pentyne 4) propyne.

62. 0

2 2450

2 6 ,S ClCC H A B then B is

1) 2 5 2C H S 2) 2 4 2

C H Cl S 3) 3 2CH Cl S 4) 3 2

CH S

63. The compound which is not purified by sublimation is

1) phenol 2) benzoic acid 3) camphor 4) naphthalene

64. In allene 3 4C H ,the type of hybridization of the carbon atoms is

1) Sp, Sp2 2) Sp, Sp

3 3) only Sp

2 4) Sp

2, Sp

3

65. The IUPAC name of the following compound is

1) 3,4-diethyl hexane 2) 4-ethyl-3 methyl hexane

3) 4-methyl-3-ehtyl hexane 4) 3-ethyl-4-methyl hexane

66. The ‘E’ isomer is

1)

C C

F

BrCl

H

2)

C C

3CH

H

3CH

H

3)

C C

3CH

H

2 5C H

3 2CH CH

4)

C C

F

Cl I

H



67. 2 2 4

2

.

2 5 .aleK H dil H SO

H OC H Cl A B Here A and B are

1) 2 5 2 4,C H OH C H 2) 2 4 2 5,C H C H OH 3) 3 5 2 5,C H C H OH 4) 2 2 2 5,C H C H OH

68. The correct order of acidity ?

1) 3 2 2 3 3CH CH CH C CH CH CH CH CH

2) 2 2 3 3 3CH CH CH CH CH C CH CH CH

3) 3 3 2 2 3CH CH CH CH CH C CH CH CH

4) 2 2 3 2 2CH CH CH C CH CH CH CH CH

69. Which of the following would not give 1-phenyl butane as the major product in the friedas

craft alkylation reaction .

1) 1-butane +HF 2) 2-butanol + H2SO4

3) butunoyl chloride 3AlCl then Zn + HCl 4) butyl chloride 3AlCl

70. Nitrobenzene can be prepared from benzene by using a mixing of HNO3 and con. H2SO4 in

nitrating mixture HNO3 acts as

1) base 2) acid 3) reducing agent 4) catalyst

SECTION-II

(Numerical Value Answer Type)




71. How many cyclic Isomers are possible for 4 6C H is

72. 3-methyl pent-2-ene on reaction with HBr in presence peroxide forms an addition product.

The number of possible stereo isomers.

73. 295 mg of an organic compound containing nitrogen digested according to kjeldahls method

And evolved NH3 gas was absorbed in 20 ml of 0.1M HCl solution. The excess of acid required

15ml of .01M NaOH solution for complete neutralization. The % of Nitrogen is

74. The number of moles of ozone required to the benzene undergoes ozonalysis

75. The maximum no.of Isomers for an alkene with the molecular formula 4 8C H is



KEY SHEET MATHS

1) 4 2) 4 3) 3 4) 3 5) 2 6) 3 7) 2 8) 1 9) 2 10) 4

11) 2 12) 4 13) 1 14) 3 15) 3 16) 1 17) 1 18) 1 19) 4 20) 3

21) 1 22) 336 23) 7 24) 13 25) 0

PHYSICS

1) 1 2) 2 3) 3 4) 4 5) 1 6) 3 7) 2 8) 1 9) 4 10) 3

11) 2 12) 1 13) 1 14) 2 15) 3 16) 4 17) 4 18) 3 19) 2 20) 1

21) 52 22) -245 23) 13.47 24) 12 25) 15.6A

CHEMISTRY

1) 4 2) 4 3) 1 4) 4 5) 2 6) 3 7) 4 8) 1 9) 1 10) 3

11) 2 12) 2 13) 1 14) 1 15) 4 16) 3 17) 2 18) 1 19) 3 20) 1

21) 3 22) 4 23) 23.7 24) 3 25) 4

HINTS & SOLUTIONS

MATHEMATICS

1.

1 1 11

,3 3

OA OB OC OA OB OCOG OG

1 1 1

1 1 1AA BB CC OA OB OC OA OB OC

1

3 3OG OG

1

3GG

2.

1 1

22 2

Bm Bc i k

1

3 42

Am AB Bm i k i k

7

32

ik



49 85

94 2

Am

3. 3 6 2AC a b i j k

2 2BD b a i j k

9 36 4 7AC

1 4 4 3.BD

4. 2

0a b c

1 1 1 2 . . . 0a b b c c c

3

. . . ____ 12

a b b c c a

2 2 2

max k a b b c c a

2 1 1 1 2 . . .a b b c c a

3

6 2 92

22 2

2 3 4 9 2 3 4 9k a b c

5. . 1 . 1OP i OQ i

1 21 1x x

1 25 1y y

1,5 1, 1P Q

2 3 7 50 5 2OP OQ i j

6.

. . . .b c a r c a b r

. .b a c b a r

. 0b a c r

. 0AB PC

Slly . 0BC PC

P is Ortho Centre

7. BC BA AC b c

b b c b cBA BC

AmBc b c b c

8. Normal vector of OPQ is op oq

1 1 2 5 3

2 1 1

i j k

i j k

5 5 9 19

cos3535. 35



1 19cos

35

9. . 1a b c

1p a b c q c a b r a b c

1

a b cp q r

10.

1 1

1 1 0

1 1

a

b

c

2 2 1

3 3 1

R R R

R R R

1 1

1 1 0 0

1 0 1

a

a b

a c

1 1 1 1 1 1 1 0a b c a c a b

1 10

1 1 1

a

a b c

1 1

1 11 1 1

a

a b c

11. AB divides yz plane in the ratio 1 2:x x

13 13 15 15 5 3 5 3

0, , , ,2 2 5 3 5 3 5 3

b a

5 3 17

5 3 172 2

bb

5 20

4

13 5 33 5 3

2 2

186

3

b

b

aa

a

12. 2 2 2 ,l m n k range of lm mb nl is

,2

kk

13. 2 2

2 1 2 1m x x z z

2 21 3 1 2

16 9 5

2 1

22

0 1 1

3 1 3 1 5 1 1

l y y

l m

14. 1,3,4P



2 3 0

2 3 4 31 3 42

2 1 1 4 1 1

1 3 42 1

2 1 1

3, 5, 2

x y z

h k l

h k l

h k l

15. 3A Foot of r from P to x y z

0 1 0 30 1 0

1 1 1 1 1 1

21

1 3

2 5 2, ,

3 3 3

3

0 1 0 30 0 1

1 1 1 1 1 1

2 2 5, ,

3 3 3

0 1 1 2

h k l

hk z

h

B Foot of the r from Q to x y z

h k l

h k l

AB

16. 1 1 1, , , ,3 3 3

a b cx y z

1 1 1

2 2 2

2 2 2

2 2 2 2

2 2 2 2

1 1 1

2 2 2 2

3 , 3 , 3

1 1 13

13

1 1 1

1 1 1 1

9

1 1 1 1

9 9 9 9

1 1 1 1' '

a x b y c z

Pa b c

P

a b c

a b c P

x y z P

Locus of P isx y z P

17. 1 2 1

3 2 1

x y zPut r

3 1, 2 2, 1

1,0,2

' 3 2, 2 2, 3

0

P r r r

A

d rs of AP r r r

AP r L



3 2 3 2 2 2 3 1 0

9 6 4 4 3 0

114 7 0

2

1 7. ' , 1,

2 2

1 2 3

1 2 7

r r r

r r r

r r

d r s AP are

x y z

18. 2

3 23

xt x t

14 1

4

112 2

12

yt y t

zt z t

Substitute

5 0 2, 1, 2

2, 1,2 , 1, 5, 10

x y z t x y z

Q P

19. 1

4 2

1 1 3

x y zr

1 1 1

2

2 2 2

4, 2, 3

2

1 2 4

, 2 2, 4

x r y r z r

x y zr

x r y r z r

both the lines intersect

1 1 1 2 2 24, 2, 3 ,2 2,4r r r r r r

Compare both sides and solve it

We get

1 24, 0

12

r r

20. Take the Mid-Point of P and Q and substitute in 2 3 0x y z

Numerical Value Questions:-

21. 2

a b b c c a a b c

2 2

1a b c a b c

22. xa yb

. 0 7 0

. 24 12

2, 14

a x y

b x y

x y



2

2 14 4 8 16

16 64 256 336

a b i j k

23. Mid-Point of BC is 1 2

,4,2 2

m

5 8

2 2Am i j k

. . .Am i Am j Am k

5 81

2 2

7, 10

24. xF A D E

2,3,4 1, 4,2 5,2, 3

4, 3,9

4 9 13x z

F

F

F F

25. 2 3 5 2 0x y z

111 222

1,2,3 , 2,1,

: 9 :1

2 6 15 2 9

4 3 5 2 1

99

5 1

5 1 1

5 0

0

A B k

k

k

k

k

k

PHYSICS

26. 2 2

1 1

0/ sin

t t

t t

idt dt i i wt

/ 44

/8

8

5sin /

T

T

T T

wt dt dt

/ 4 / 4

/8 /8

5cos /

T T

T Twt t

w

2 25 cos cos

4 8

2

4 8

T T

T T

T T

T

5 10 2

/42



27. 0cos 0 cos 1R

Z

R Z

22

22 2

L C

L C

Z R X X

Z R X X

22 2

0

L C

L C L C

R R X X

X X X X

2

2 2

2

2 6

1 1

1

4

1

3604 1 10

2

7.7

WL LWC W C

Lf c

L

L H

28. 0 0 2 rmsq CV C V

6 3

0 8 10 220 2 2.5 10q C

29. /

0 1 ti i e

/0 tidie

dt

At 00,idi

tdt

/

/

di E R E

dt L R L

200

400 /0.5

diA S

dt

30. Area vector is in ‘z’ direction

2 ˆA L k

2

0

2 2

0 0

.

ˆ ˆˆ ˆ2 3 4 .

4 4

B A

B i j k L k

L B B L wb

31. 0 2E NBAW NBA f

0 100 0.05 0.01 2 50 15.7E V

00

0 0 0

0

15.70.524

30

15.7 0.524

8.23

EI A

R

P E I

P W

32. m

tBq

27

3 19

1.67 10

100 10 1.6 10 3t

71.05 10 sect



33. . 0a B a B

ˆ ˆˆ ˆ ˆ ˆ. 2 3 4 0

2 3 4 0 0.5

xj j k i j k

x x

22 2

ˆˆ ˆ0.5

0.5 1 1 1.5

a i j k

a

34. F q V B

ˆˆ ˆ ˆ2 2 3q i i j k

ˆ ˆ4 6q k j

F

is in Y-Z Plane.

35. At ‘N’

0

2C H

iB B

r

7 7 15 10 2 10

r

2

0.45

r m from the wire due east.

36. 2 2 1 1

1 2

i R i Rr

i i

0.07 20 0.12 10

40.12 0.07

r

1 1 1 1 1

0.12 4 10 1.68

E i r i R i r R

V

37. From KVL From KCL

For …L1 I1+I2 = I3

1 35 2 12 0 1I I

1 35 2 12 2I I

For L2

2 3

2 3

3 2 6 0

3 2 6 3

I I

I I

From 1,2 & 3

1 2

3

1.549 , 0.58

1.549 0.58 2.129

I A I A

I A

38. 2

1 2

rlR

l l

1.2 500

1060

R

39. 2 1V

P P but R lR R

1

Pl



1 2

2 1

10

9100

10

l lP l

P l l

2 1

1

10 9100 100 11%

9

P PIncrease

P

40. 01 2 1 2

2V V

d

1 2

4 6,

Q Q

A A

1 2

2Q

A

01 2 1 2

0

2 2Q QdV V V V

d A A

41. 2 3 3 11 2

0 12 23 31

1

4

q q q qq qU

r r r

0

1 2 . .8 2 .8

4 9 9

q q q q q qU

x x

As U is minimum 0dU

dx

222 1 8 1 9 1 0

dUx x

dx

3x cm

So the charges are placed at 0, 3 and 6cm

42. 00 0.5

AC

d

1 0 0 01

1

20.5

2

k A A AC

d d d

2 0 01

2

33 0.5 0.75

2

k A AC

d d

1 2 0.5 0.75 1.25C C C F

43. 9

22 2

0 12

1.4 10 7 7

2 12 22 22 8.57 10

2

QE

R

32 /E V m

44. 2 2

1 2 1 2 1 22 cosP P P PP P P

2 2 0

1 22 2 cos60P P

13 3

ˆ3

P q l

P qlj

45. 21,

2

qEs ut at a

m

19 4

15

31

1.6 10 2 10 3210

9 10 9a



2 15 21 321.5 10 cos 10

2 9t t

9 913510 2.9 10 sec.

16t

Numerical Value Questions:-]

46. 45

2 ,20

L qET a

g m

1 2 2L L

TqEg a

gm

1

1

qEg

T qEm

T g mg

6 4

1 3

4 10 2.5 101

40 10 10

T

T

1

451 0.25

20 T

1 2.6secT

1 20 2.6 20 52sec.t T

47.

1,2,3

1,2,3 0,0,0

0,0,0

.V V E dr

1 2 3

0 0 0

x y zE dx E dy E dz

1 2 3

0 0 0

10 30 40xdx y dy z dz

1 2 3

2 2 3

0 0 0

10 30 40

2 2 2x y z

2 2 25 1 0 15 2 0 20 3 0

5 60 180 245V

48. For first balance point

33.7

100 66.3

R l

S l

Second time 1S = 12

12

S

S

For second balance point

1

1 1

51.9

100 48.1

R l

S l

51.9

12 48.1

12

R

S

S



51.9 12 33.7

48.1 12 66.3

13.47

S

S

49. //yx z

x y z

VV VV B

B B B

4

3 6 6

x y

4

83 6

xx

4

83 6

yy

2 2 2 1

ˆˆ ˆ4 8 8

4 8 8 12

V i j k

V ms

50. 3 25 4 2 5d d

E t t tdt dt

2

2

15 8 2

2sec

15 2 8 2 2 78

7815.6

5

E t t

at t

E V

Ei A

R

CHEMISTRY

51. 3OCH group is ME group which activates the benzene ring.

52. Alkene with large ring size exhibit geometrical Isomerism

53. C,D are Non-planar molecules

54. Conceptual

55. Conceptual

56. Conceptual

57. The reactivity of Bromination : 0 0 0

3 2 1.

58. According to 4 .x es

59. Conceptual

60. Conceptual

61.

2CH CH NaNH Na C C Na

32CH Cl

3 3CH C C CH

62. 0

2 2450

2 6 2 4 2 4 2

S ClCC H C H C H Cl S

63. Conceptual

64. 2 2CH C CH

65. Conceptual

66. Conceptual

67. Conceptual

68. Conceptual



69.

3

6 6 3 2 2 6 5 2 2 3

AlClC H CH CH CH COCl C H COCH CH CH

HCl Zn

36 5 2 2 2C H CH CH CH CH

70. Conceptual

Numerical Value Questions:-

71.

3CH3CH, ,

72.

* *

3 2 3 3 2 3

HBr

PeroxideCH CH C CH CH CH CH CH CH CH

Br3CH

3CH

2-Chiral centres,

No.of stereo Isomers = 22

= 4

73. 11.4

%N V m

NW

1.4 0.1 5

23.70.0295

74.

O

O

O

O

OO

O

O

O

33O

75. 1-Butene, cis and trans -2-butene, 2- methyl propene

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SRIGAYATRI EDUCATIONAL INSTITUTIONS...2020/10/05 · 11. The line passing through the points (5, 1,a) and (3,b,1) crosses yz-plane at the point 17 13 0, , 22 · ¨¸ ©¹ then 1)