SRIGAYATRI EDUCATIONAL INSTITUTIONS · srigayatri educational institutions india sr mpc date: 06-05-2020 time: 3 hours max. marks: 186 physics syllabus: u.t i + u.t ii + u.t iii +

SRIGAYATRI EDUCATIONAL INSTITUTIONS

INDIA

SR MPC Date: 06-05-2020 Time: 3 Hours Max. Marks: 186

PHYSICS SYLLABUS: U.T I + U.T II + U.T III + U.T IV SYLLABUS

1. A particle moving in the positive x-direction has initial velocity 0.v The particle undergoes

retardation 2 ,kv where v is its instantaneous velocity. The velocity of the particle as a

function of time is given by

A) 0 01v v kv t B) 02

1

vv

kt

C) 0v

vkt

D)

0

2 2

01

vv

k v t

2. An unreformed spring of constant k is connected to a bead of mass m as shown in figure. Bead

can move along long rigid rod without friction. A particle of mass m moving with velocity v in

the vertical plane containing spring and rod strikes bead at an angle 045 with horizontal and

sticks to bead. Choose correct alternative representing maximum elongation of spring is, all

particles are in same horizontal plane.

A) m

vk

B) 1

2

mv

k

C) 2m

vk

D) 1

4

mv

k

3. The gravitational energy of interactions of a system of six identical particles, each of mass m

placed at the vertices of a regular hexagon of side ‘a’ is [PE =0 at infinite separation]

A) 2 1 1

143

Gm

a

B)

23 1 11

43

Gm

a

C)

26 1 11

43

Gm

a

D)

22 1 11

43

Gm

a

SECTION 1 (Maximum Marks:15)

This section contains FIVE questions.

Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these

four options is correct.

For each question, darken the bubble corresponding to the correct option in the

ORS.

For each question, marks will be awarded in one of the following categories:

Full Marks : +3 If only the bubble corresponding to the correct

option is darkened

Zero Marks : 0 If none of the bubbles is darkened.

Negative Marks : -1 In all other cases.

JEE ADVANCE (IIT 2016 PAPER-1 MODEL – 54 BITS)

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 Senior ::JEE ADVANCE 2016 P1 MODEL TEST 06- 05- 2020

4. Two moles of an ideal monatomic gas are contained in a vertical cylinder of cross-sectional

area A as shown. The piston is frictionless and has mass m. At a certain instant a heater starts

supplying heat to the gas at a rate of q J/s. All the boundaries are thermally insulated.

Atmospheric pressure is 0.P The velocity of piston under isobaric condition is

A) 0

2

5

q

p A mg B)

0

3

5

q

p A mg C)

0

4

5

q

p A mg D)

0

1

5

q

p A mg

5. Students I, II and III perform an experiment for measuring the acceleration due to gravity (g)

using a simple pendulum. They use different lengths of the pendulum and/or record time for

different number of oscillations. The observations are shown in the table.

Least count for length = 0.1cm

Least count for time = 0.1sec

If ,I IIE E and IIIE are the percentage error in g, i.e., 100g

g

for students I, II and III,

respectively.

A) 0IE B) IE is minimum C) I IIE E D) IIE is maximum

6. A particle is moving in a circular path of radius 1 m such that its speed is varying with time as

v = 2t m/s, here t is in sec. Given a is the net acceleration and v

is the velocity of the particle.

A) At 1

,2

t s angle between velocity and acceleration is 045

B) At 1

, . 2 22

t s a v

C) At 1

, . 02

t s a v

D) .a v

magnitude is independent of radial acceleration.


This section contains EIGHT questions.

Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE

of these four option(s) is (are) correct.

For each question, darken the bubble corresponding to the correct option(s) in the ORS.


Full Marks : +4 If only the bubble corresponding to the correct

option((s) is(are Darkened

Partial Marks: +1 For darkening a bubble corresponding to each correct

option provided NO incorrect option is darkened.



For example, if (A), (C) and (D) are all the correct options for a question, darkening all

these three will result in +4 marks; darkening only (A) and (D) will result in +2 marks:

and darkening (A) and (B) will result in -2 marks, as a wrong option is also darkened.



7. In the figure small block is kept on M then

A) the acceleration of m w.r.t. ground is F

m B) the acceleration of m w.r.t. ground is zero

C) the time taken by m to separate from M is 2lm

F

D) the time taken by m to separate from M is 2lm

F

8. For the given diagram mark the correct option(s). Given that .2

CA B

mm m m Neglect any

Friction

A) for e =1 for collision between blocks A & B maximum Kinetic Energy for block C in subsequent

motion is 2

0

4

9mv

B) for e =1 for collision between block A & B maximum compression in spring 0

2

3

mv

k

C) If A sticks with B after collision then maximum Kinetic energy for block C in subsequent

motion is 2

0

1

3mv

D) If A sticks with B after collision then maximum compression in the spring is subsequent motion

is 0

2

m v

k

9. A disc is given an initial angular velocity 0 and aced on rough horizontal surface as shown.

The quantities which will not depend on the coefficient of friction is/are

A) The time until rolling begins.

B) The displacement of the disc until rolling begins.

C) The velocity when rolling begins.

D) The work done by the force of friction

10. A bullet of mass 50g and specific heat capacity 1 1800 J kg K is initially at a temperature

200C. It is fired vertically upwards with a speed of 200 ms

-1 and on returning to the starting

point strikes a lump of ice at 00C and gets embedded in it. Assume that all the energy of the

bullet is used up in melting. Neglect the friction of air. Latent heat of fusion of ice 5 13.36 10 .J kg

A) kinetic Energy of bullet used in melting is 1000 J.

B) The mass of ice method = 5 g

C) The mass of ice melted is slightly greater than 5 g.

D) The mass of ice melted is less than 5 g.



11. A gas performs a process as shown in V/T diagram. Choose the correct option(s).

V

T A) The process cannot be represented as P

a V

bT

c = constant where a,b,c are non-zero real numbers

B) Specific heat capacity is dependent on temperature

C) Pressure of gas monotonically decreases

D) Pressure of gas monotonically increases

12. A horizontal beam supported at each end sags under its own weight. Then the beam will

experience

A) tensile stress B) compressive stress C) shear stress D) bulk stress

13. A lens of focal length f ' is placed in between an object and screen at a distance 'D'. The lens

forms two real images of object on the screen for two of its different positions, a distance ' x '

apart. The two real images have magnification M1 & M2 respectively (M1>M2). Then,

A) 1 2

xf

M M

B) 1 2 1M M C)

2 2

4

D xf

D

D) 4D f

14. The system shown in the figure is in equilibrium and all the blocks are at rest. Assume that

the masses of the strings, the pulley and the spring are negligible w.r.t. the masses of the

blocks and friction is absent. Find acceleration of the block C (in m/s2), just after cutting the

string 1.



Answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9

both inclusive..


ORS.


Full Marks: +3 If only the bubble corresponding to the correct option

is darkened

Zero Marks : 0 If none of the bubbles is darkened



15. A rocket of mass 20,000 kg is blasted upwards with an initial acceleration 5 N 5ms-2

. Find the

initial thrust of blast. [in 105N Order and answer should be 1 integer] take 210g ms

16. A particle of mass m oscillates along the shell between A and B inside a smooth spherical shell

of radius R. At any instant the kinetic energy of the particle is K. Then the force applied by

particle on the shell at this instant ,xk

R where x is number. Find the value of x.

17. The resistances of two metallic wires are 1 5 0.2R and 2 10 0.1R when these two

wires are connected in parallel, the equivalent resistance is found to be 3.3 with a maximum

percentage error of n%. The value of n is

18. In the Youngs double slit experiment apparatus shown in figure, the ratio of maximum to

minimum intensity on the screen is 9. The wavelength of light used is , then the value of y is

.D

d

Find the value of

CHEMISTRY

SYLLABUS:- U.T I + U.T II + U.T III + U.T IV SYLLABUS

19. In which of the following arrangements, the order is NOT according to the property indicated

against it?

A) Li < Na < K < Rb : Increasing metallic radius

B) I < Br < F < Cl : Increasing electron gain enthalpy (with negative sign)

C) B < C < N < O Increasing first ionization enthalpy

D) 3 2Al Mg Na F Increasing ionic size

20. The sequence of ionic mobility in aqueous solution is :

A) K Na Rb Cs B) Cs Rb K Na

C) Rb K Cs Na D) Na K Rb Cs

21. Which one of the following statement is not true ?

A) pH of drinking water should be between 5.5 – 9.5.

B) Concentration of DO below 6 ppm is good for the growth of fish.

C) Clean water would have a BOD value of less than 5 ppm.

D) Oxides of sulphur, nitrogen and carbon are the most widespread air pollutant.



Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these

four options is correct.


ORS.


Full Marks : +3 If only the bubble corresponding to the

correct option is darkened





22. The O – O – H bond angle in 2 2H O is

A) 0106 B) 0109 28' C) 0120 D) 094.8

23. Which of the following oxide is amphoteric ?

A) 2SnO B) CaO C) 2SiO D) 2CO

24. An isotone of 76

32Ge is :

A) 77

32Ge B) 77

33As C) 77

34Se D) 78

34Se

25. The compound(s) with TWO lone pairs of electrons on the central atom is (are)

A) 5BrF B) 3ClF C) 4XeF D) 4SF

26. The thermal dissociation equilibrium of 3CaCO s is studied under different conditions

3 2 .CaCO s CaO s CO g For this equilibrium, the correct statement (s) is (are)

A) H is dependent on T

B) K is independent of the initial amount of 3CaCO

C) K is dependent on the pressure of 2CO at a given T

D) H is independent of catalyst, if any

27. 3Fe is reduced to 2Fe by using

A) 2 2H O in presence of NaOH B) 2 2Na O in water

C) 2 2H O in presence of 2 4H SO D) 2 2Na O in presence of 2 4H SO

28. In the nuclear transmutation 9 9

4 4Be X Be Y (X, Y) is (are)

A) ,n B) ,p D C) ,n D D) , p

29. Under hydrolytic conditions, the compounds used for preparation of linear polymer and for

chain termination, respectively, are

A) 3 3CH SiCl and 3 4Si CH B) 3 22

CH SiCl and 3 3CH SiCl

C) 3 22CH SiCl and 3 3CH SiCl D) 4SiCl and 3 3

CH SiCl

30. The CORRECT statement(s) for cubic close placed (ccp) three dimensional structure is (are)

A) The number of the nearest neighbours of an atom present in the topmost layer is 12

B) The efficiency of atom packing is 74%

C) The number of octahedral and tetrahedral voids per atom are 1 and 2, respectively

D) The unit cell edge length is 2 2 times the radius of the atom

Section – 2 : (Maximum Marks : (32)

This section contains EIGHT questions

Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN

ONE of these four option(s) is (are) correct.

For each question, darken the bubble(s) corresponding to all the correct option(s) in

the ORS.

For each question, marks will be awarded in one of the following categories :

Full Marks : +4 If only the bubble(s) corresponding to all the correct

option(s) is(are) darkened.

Partial Marks : +1 For darkening a bubble corresponding to each correct option,

provided NO incorrect option is darkened.


Negative Marks : –2 In all other cases.

For example, if (A), (C) and (D) are all the correct options for a question, darkening all

these three will result in +4 Marks; darkening only (A) and (D) will result in +2 marks and

darkening (A) and (B) will result in –2 marks, as a wrong option is also darkened.



31. An ideal gas in a thermally insulated vessel at internal pressure = 1,P volume = 1V and absolute

temperature 1T expands irreversibly against zero external pressure, as shown in the

diagram. The final internal pressure, volume and absolute temperature of the gas are 2 2,P V

and 2 ,T respectively. For this expansion

A) q=0 B) 2 1T T C) 2 2 1 1PV PV D) 2 2 1 1PV PV

32. X-rays of wavelength 0

1.54 A strike a crystal and are observed to be deflected at an angle of

022.5 . Assuming that n =1. Calculate the placing between the planes of atoms that are

responsible for the reflection.

33. A first reaction is 20% complete in 10 minutes. Calculate (I) the rate constant of the reaction

(II) time taken for the reaction to go to 75% completion.

34. A photon of wavelength 0

4000 A strikes a metal surface, the work function of the metal being

2.13 eV. Calculate

(i) the energy of photon in eV

(ii) the kinetic energy of the emitted photoelectron and

(iii) the velocity of the photoelectron

35. If the solubility of iodine in water is 0.8 g/I at 025 ,C Calculate the solubility of 2I in 4.CCl The

Dk of iodine in between 4CCl and water is 85 in favour of 4CCl at 025 .C

36. 2.7 ml 2H and 3.1 ml 2I vapour react-at 0444 C to form 4.5 ml HI. Calculate the cK at this

temperature



Answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9 both

inclusive..

For each question, darken the bubble corresponding to the correct option in the ORS.



is darkened




MATHEMATICS SYLLABUS:- U.T I + U.T II + U.T III + U.T IV SYLLABUS

37. If

2

1 2

2

sin 0 0

0 sin 0

0 0 sin

A

and

2

1 2

2

cos 0 0

0 cos 0

0 0 cos

B

where , , are any real

numbers and 5 5 1 1 3 3 2 2 1 15 10C A B A B A B A B A B then find .C

A) 0 B) 1 C) 2 D) 3

38. Two circles of radii 1r and 2r touch the x axis at A and B respectively and the line y mx,

they intersect each other at 9,6P and Q, also 1 2 68,rr then

A) 12 221

49m B)

12 221

49m C)

221 2

49m D) None of these

39. If 4 4 10,Z Z then the difference between the maximum and the minimum values of

Z is:

A) 2 B) 3 C) 41 5 D) 0

40. 4 3

sin cos

2 2

cos sin cos

cos

x x x x x x x xe dx

x x

A) sin cos 1

cos

x x xe x Cx

B)

sin cos 1

cos

x x xe x Cx x

C) sin cos 1

1cos

x x xe Cx x

D)

sin cos 11

cos

x x xe Cx

41. A straight line through a point ,2t meets the ellipse 2 2

19 4

x y at A, D and meet axes at B,

C. Such that PA, PB, PC, PD are in G.P. Then range of t

A) 6, B) , 6 C) Both (a) and (b) D) 6,6



Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four

options is correct.

For each question, darken the bubble corresponding to the correct option in the ORS.


Full Marks : +3 If only the bubble corresponding to the

correct option is darkened





42. If 1 3 3 1006, , ,.....,A A A A be independent events such that 1

1,2,3,....,10062

iP A ii

and

probability that none of the events occurs be

2

!,

2 !

then :

A) is of form 4 2,k k I B) 2

C) is a composite number D) is of form 4 , 1k k

43. If x denotes the integral part of x for real ,x and

1 1 1 1 1 1 3 1 199

....4 4 200 4 100 4 200 4 200

S

then

A) S is a composite number B) Exponent of S in 100 is 12

C) Number of factors of S is 10 D) 25

rC is max when 51r

44. Let g x be a cubic polynomial having local maximum at 1x and 'g x has a local

minimum at 1.x If 1 10, 3 22,g g then:

A) perpendicular distance between its two horizontal tangents is 12

B) perpendicular distance between its two horizontal tangents is 32

C) 0g x has atleast one real root lying in interval 1,0

D) 0g x , has 3 distinct real roots

45. If the equation 2 0; , ,ax bx c a b c R and 0a has no real roots then which of the

following is/are always correct?

A) 0a b c a b c B) 2 4 0a b c a b c

C) 4 2 0a b c a b c D) 2 4 0a b ac

Section – 2 : (Maximum Marks : (32)

This section contains EIGHT questions

Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN

ONE of these four option(s) is (are) correct.

For each question, darken the bubble(s) corresponding to all the correct

option(s) in the ORS.

For each question, marks will be awarded in one of the following categories :

Full Marks : +4 If only the bubble(s) corresponding to all the correct

option(s) is(are) darkened.

Partial Marks : +1 For darkening a bubble corresponding to each correct

option, provided NO incorrect option is darkened.


Negative Marks : –2 In all other cases.

For example, if (A), (C) and (D) are all the correct options for a question, darkening

all these three will result in +4 Marks; darkening only (A) and (D) will result in +2

marks and darkening (A) and (B) will result in –2 marks, as a wrong option is also

darkened.



46. The value of x satisfying the equation

3

3 31 1 1 1 1 1sin cos sin cos sin cos

16x x x x x x

Can not be equal to:

A) cos5

B) cos

4

C) cos

8

D) cos

12

47. If a differentiable function satisfies 2 32 ,x y f x y x y f x y x y y x y R

and 1 2,f then :

A) f x must be polynomial function B) 3 12f

C) 0 0f D) 3 13f

48. If OABC is a tetrahedron with equal edges and p,q,r are unit vectors along bisectors of

, : , : ,OA OB OB OC OC OA

respectively and , , ,OA OB OC

a b cOA OB OC

then :

A)

ˆˆ ˆ 3 3

ˆ ˆ ˆ 2

abc

p q r

B)

ˆ ˆˆ ˆ ˆ ˆ 3 3

ˆ ˆ ˆ ˆ ˆ ˆ 4

a bb cc a

p q q r r p

C)

ˆ ˆˆ ˆ ˆ ˆ 3 3

ˆ ˆ ˆ 2

a bb cc a

p q r

D)

ˆˆ ˆ 3 3

ˆ ˆ ˆ ˆ ˆ ˆ 4

abc

p q q r r p

49. The chord AC of the parabola 2 4y ax subtends an angle of 090 at points B and D on the

parabola. If points A, B, C and D are represented by 2,2 , 1,2,3,4i iat at i respectively, then

find the value of 2 4

1 3

.t t

t t

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

50. If n times

2n times n times

1111.....1 222.....2 .....PPP P then P

51. Let 1,0 , 3,0A B and PQ be any line passing through 4,1 . The range of the slope PQ

for which there are two points on PQ at which AB subtends a right angle is 1 2, , then

1 25 is equal to



Answer to each question is a SINGLE DIGIT INTEGER ranging from 0

to 9 both inclusive..

For each question, darken the bubble corresponding to the correct option in

the ORS.



is darkened




52. If the system of linear equations

cos sin cos 0x y

sin cos sin 0x y

cos sin cos 0x y

is consistent, then the number of possible values of , ,2 is:

53. Let OA, OB, OC be conterminous edges of a cuboid. If , ,l m n be the shortest distances

between the sides OA, OB, OC and their respective skew body diagonals to them, respectively,

then find 2 2 2

2 2 2

1 1 1

.1 1 1

l m n

OA OB OC

54. If 1 2 3 32, 2, 3, 4z z z z and 1 2 32 3 4 9,z z z then value of 1 3

2 3 3 1 1 28 27 64z z z z z z

is:

*****



SRIGAYATRI EDUCATIONAL INSTITUTIONS

INDIA

JEE ADVANCE Date: 06-05-2020 Time: 3 Hours Max. Marks:186

KEY SHEET

PHYSICS

01) A 02) B 03) C 04) A 05) B

06)ABD 07) BD 08) ABD 09) CD 10) AC

11) BD 12) ABC 13) ABCD 14) 5 15) 3

16) 3 17) 3 18) 3

CHEMISTRY

19) C 2) B 21) B 22) D 23) A

24) BD 25) BC 26) ABD 27) AB 28) AB

29) B 30) BCD 31) ABC 32) 2.01 33) 62.18

34) 3.10 35) 68 36) 52.94

MATHEMATICS

37) B 38) A 39) A 40) B 41) C

42) ABCD 43) AB 44) BD 45) ABD 46) ABD

47) ABC 48) AD 49) A 50) 3 51) 6

52) 2 53) 2 54) 6

HINTS & SOLUTOINS PHYSICS

1. dv

adt

0

2

2

0

,

t v

v

dv dvkv kdt

dt v

0

1 1kt

v v

0

01

vv

kv t

2. Conserving moment of system along rod.

0

1cos45 2mv mv

1 2 2v v

By work energy theorem:

2

21 12

2 2 2 2

vkx m

1

2

mx v

k

3. Total potential energy is ijV U

2016 P1 MODEL



2 21 1 1 6 1 1

6 3 12 43 3

Gm Gmg

a a a aa

4. Pressure under piston

0

mgp p

A

Also 3

2 ...2

Q W U pA x R T i

2 ...p V R T ii

From (i) & (ii)

5

2Q pA x

5

2

Q xq pA

t t

0

2 2

5 5

x q qv

mgt pp

A

0

2 2

5 2

x q qv

t PA P A mg

5. 2

24

lg

T

2

100g l T

g l T

0.1 , 0.1l cm T n

6. Speed 2V t

Tangential acceleration 22t

dva m s

dt

Radial acceleration

2

2 224r

ta t m s

t

At 21, 2

2r t rt a m s a a

ˆ ˆ ˆ. . 4r r t t t ta v a e a e ve a v t

7. Acceleration of ,F

M aM

21

2

Fl t

M

2

.Ml

tF

8. For 1e

0 after collisionBv v

cv has maximum value of 02

3

v

max

KE for

2

200

1 2 4.2

2 3 9

vC m mv

In CM frame



2 20 max

1 2 1.

2 3 2

mv kx

KE

2

0max 0

2 2

3 3

mv ml v

k k

If A sticks to B then

0

max 2c

vV as A B Cm m m

Also

2

2 0max

1 1.

2 2 2

vK x m

0max

2

m vx

k

9. The velocity of the disc when rolling begins can be obtained using the conservation of angular

momentum principle about the point through which the friction force acts. So, the coefficient of

friction has no bearing on final velocity. The work done by the force of friction will simply be

change in kinetic energy.

(C) and (D).

10. If the friction offered by air is reflected, the speed of the bullet on returning to be starting point will

be equal to its initial speed 1200 .v ms The kinetic energy of the bullet is.

21. .

2K E mv

331

50 10 200 10002

J

Heat lost by bullet for its temperature to fall from 020 C to 0 30 50 10 800 20 800 .C J

If xkg is the mass of ice melted, then

35.3 10 5.3x kg g Hence the correct choices are (1) and (3)

11. 1 2v k k T and 2 1 2

1 2

;nRT

dv k dt p k k T nRT pk k T

12. Conceptual

13. V U D

V U x

2 2

x D D xV U

2 2

4

D xf

D

1 2

D x D xM M

D x D x

14. Just after cutting the string 1 the extension of the string will remain same as it was before cutting

the string ‘1’, So, we can take string force on block is equal ‘2g’ Now making F.B.D of block ‘B’.

3 1 ... 1g T a

Making F.B.D of block ‘c’



5 ... 2T a

From (1) and (2)

2a g 2 5 m s .

15. F Mg Ma

F M g a

520,000 10 5 3 10 3N

16. Let velocity of particle at point P is v.

From conservation of mechanical energy

Let N be the normal reaction between the particle and the shell at this instant. Then

2 2 2

sinmv mv K

N mgR R R

or 2 2h K K K

N mg mgh KR R R R

17. 1 2 1 2

1 2 1 2

100 100P

P

R R R R R

R R R R R

Where 1 2

1 2

P

R RR

R R

18.

2

1 2max

min 1 2

1 9

11

l lI

I l l

or 1 2

13

1

xx I I

x

2x

1

2

4l

l

1 24l l

i.e., if 2 0l l then 1 04I I

2

0 04 cos2

I I

2

3

2 2

3

yd

D

3

Dy

d



CHEMISTRY

19. In a period the value of ionisation potential increases from left to right with breaks where the atoms

have some what stable configuration. In this case N has half filled stable orbital. Hence has highest

ionisation energy. Thus the correct order is B < C < O < N not B < C < N < O

20. Smaller the ion more is its ionic mobility in aqueous solution. Ionic radii of the given alkali metals

is in the order Na K Rb Cs and thus expected ionic mobility will be in the order

.Cs Rb K Na However due to high degree of solvation (or hydration) because of lower

size or high charge density, the hydrated ion size follows the order Cs Rb K Na and thus

conductivity order is Cs Rb K Na i.e. option (b) is correct answer.

21. COD can be found in a few minutes whereas BOD requires at least 5 days.

22. O O H bond angle in 2 2H O is 094.8 .

23. 2SnO is an amphoteric oxide because it reacts with acids as well as with bases to form

corresponding salts.

2 2 4 4 222 2SnO H SO conc Sn SO H O

2 2 3 22SnO NaOH Na SnO H O

24. 77

33As and 78

34Se have same number of neutrons 76

32asA Z Ge

25. Compound Number of lone pairs on central atom

26. (A) P rxn

H C T

Hence enthalpy depends on temperature.

(B) 23 2 p COs s gCaCO CaO CO K P

(C) eqK depends only on temperature and not on pressure.

(D) Enthalpy of reaction is independent of the catalyst.

Catalyst generally changes activation energy.

27. Conceptual

28. The reaction can occur by following two ways.

29. 3 22

CH SiCl form linear polymer on hydrolysis and 3 3CH SiCl is a chain terminator.

30. CCP is ABC ABC ….. type packing

(A) In topmost layer, each atom is in contact with 6 atoms in same layer and 3 atoms below this

layer

(B) Packing fraction

3

3

44

3 0.744

2

r

r

(C) Each FCC unit has effective no of atoms = 4

Octahedral void = 4

Tetrahedral void = 8

(D) 4 2r a

31. Since the vessel is thermally insulated, 0q

Further since, 0,extP so w=0, hence 0U

Since 2 10, ,T T T and 2 2 1 1PV PV

However, the process is adiabatic irreversible, so we can’t apply 2 2 1 1 .PV PV



32. Bragg’s equation is 2 sinn d

0

0

1.54 12.01

2sin 22.5d A

33. (I) For Ist order reaction 2.303

loga

kt a x

12.303 100log 0.0223min

10 100 20k

(II) 2.303 100

log 62.18min0.0223 100 75

t

34. (i)Energy of the photon hc

E h

34 8 1

19

10

6.626 10 3 104.97 10

4000 10

Js msE J

m

191.602 10eV J

19

19

4.97 103.10

1.602 10

JE eV

J

35.

2 4

2

I in CCl layer

I in water layerDk Let the solubility of 2I in 4CCl be a g/litre

850.8

a

1a 68glitre

36.

MATHS

37. 5 51 1 1 1 1 1A B B A C A B I

38. tan .cot2 2

tan2

r rx r

x

Centre cot2

r

( r ), radius = r

So 2

2 2cot2

x r y r r

It is passes through 9,6 so

2

2 29 cot 62

r r r



2 2 2 281 18 cot cot 36 122 2

r r r r r

2 2cot 12 18cot 117 02 2

r r

Let 1 2r r roots

1 22

117

cot2

r r

G.T 1 2 68rr

2

3 3 134 17

cot2

2tan 3 3 13 4 172

tan 3 13 2 172

2 17

tan2 3 13

tanm

2 2 172 tan

3 1324 17

1 tan 12 9 13

12 221

49m

39. Now, 22 225 1 25 5b e e

25 16 9

3b

Z lies on the ellipse circumference Z denotes the distance from the origin. Therofore,

max

5Z

min

3Z

Thus, the difference between the maximum and the minimum values of Z is

max min

5 3 2Z Z

40. sin cos cosd

x x x x xdx

' cosf x x x

Let sin cosf x x x x '' sin cosf x x x x

2 2

'' ''' ' .

' '

f x f x f xf x f xe xf x dx xe f x dx e dx

f x f x

1 1

. '' '

f x f x f x f xxe e dx e e f x dx

f x f x



1

' '

f xf x f xe

xe C e x Cf x f x

sin cos 1

cos

x x xe x Cx x

41. Let line

Equation is 2 tany d x t

At 0B y then 2

tanx t

2

sinPB

At C 0x then 2 tany t

cos

tPC

Parametric form of point on line is 1 1 1cos sinx r y r

cos ,2 sint r r lies on 2 2

1x y

a b

2 24 9 36 0x y

2 2

4 cos 9 2 sin 36t r r

2 2 2 24cos 9sin 8 cos 36sin 4 0r r t t

Let 1 2,r r are the roots then 2

1 2 2 2

4

4cos 9sin

tr r

Here 1 2,r PA r PB

, , ,PA PB PC PD are in G.P

. .PA PD PB PC

9

2cot tan2

t

. .A M G M

9 9

2cot tan 2 cot tan2 2

t 2 9 0t

6,t

If we take 1 1cos , sinx r y r then , 6t

So range of t is , 6 6,

42. Probability 1 1 1 1 1

1 1 1 1 ..... 12 4 6 8 2012

22012

1 3 5 7 2011 2012!.....

2 4 6 8 2012 2 1006!



43. Conceptual

44. Let '' 1g x a x

2

'2

axg x ax b

3

' 1 02

ag b

3 2

3 23 9 56 2

ax axg x bx c g x x x x

1 10, 3 22g g

45. Conceptual

46. 3

2 21 1 1 1 1 1sin cos sin cos 2sin cos

16x x x x x x

1 1 1sin cos cos cos4 8 8

x x x x

47. Put 1, 1x y

0 2 2 0 2 1 1 0f f

0 0f

Put 2, 1x y

3 12f

2 32x y f x y x y f x y x y y

2 2 2 22

x y f x y x y f x yy

x y x y

2f x y f x y

yx y x y

,x y m x y n

f m f n

m nm n

Put 1n 1

11

f m fm

m

2f m m m

m x

2f x x x

0 0f

1 2f

3 12f

f x is polynomial function

48. Conceptual

49. Conceptual

50. 210 1 10 1 10 1

2 39 9 9

n n n

P P

51. Describe a circle whose diameter is AB.

centre 1,0



Radius =2

Let ‘m’ the slope of the line passing through 4,1 .

, 1 4y m x intersect the circle

distance from centre < radius of circle.

2

3 12

1

m

m

2 29 6 1 4 4m m m

6 96 6 96 1

, ,110 10 5

m

1 2

12 6

10 5

1 25 6

52.

cos sin cos

sin cos sin 0 2cos cos2 0

cos sin cos

53. Let 1

2l m n

54. Conceptual

Documents

SRIGAYATRI EDUCATIONAL INSTITUTIONS · srigayatri educational institutions india sr mpc date: 06-05-2020 time: 3 hours max. marks: 186 physics syllabus: u.t i + u.t ii + u.t iii +