AIEEE Paper 2010 Solved

8/20/2019 AIEEE Paper 2010 Solved

1/30

.J/_IP/E/E 2011

Set

IMPORTANT INSTRUCTIONS

1. Immediate ly fill in the particulars on this page of the Test Booklet with Blue/Black Ball Po

Pencil is strictly prohibited.

2.

3

•

.

The Test

Booklet

consists

of90

questions.

The

maximum

marks are

360.

5

response.

6. Candidates will

be

awarded marks as stated b o v ~ insp;yp on No. for correct response of each

question % (one fourth) marks will

be

deducted for · dicatifi:g incorrect response of each question.

No

deduction from the total score will be made i n o

es

p ns is indicated for

an

item in the answer sheet.

7.

8.

Use

Blue/ Black Ball Point

Pe

n } o

fox:

writing particulars/

marking

responses

on

Side-1

and

Side-2

of

the

Answer Sheet. Use

of

pencil-is stri y prohibited.

9.

No

candidate is allowed o c;yry any textual material , printed or written, bits of papers , pager, mobile

phone any electromc device, etc., except the Admit Card inside the examination hall/room

•

0. Rough

work

is to one on the space prov

ided

for this purpose in the T est

Booklet

only. This space is

given at

th

e

1:>

ot of each page

and

in 3 pages (Pages 21 - 23) at the end of the booklet.

11. On w m le ·o of the test, the candidate must

hand

over the Answer

Sheet

to the Invigilator on duty in the

~

n However the candidates are allowed

to t ke

away

this Test ooklet

with them.

12. h s DE

for

this

Booklet is Q

Make sure

that

the

CODE printed on Side-2 of

the Answer

Sheet is

the

same as that on this booklet. In case of discrepancy, the candidate should immediately

report

the matter to

the Invigilator for replacement of both the

Test

Booklet and the Answer Sheet.

13. Do not

fold

or

make any

str y

marks

on

the Answer

Sheet


2/30

AIEEE 2011 2

P RT A PHYSICS

1. The transverse displacement

y x,

t) of a wave on a string is given by y

x,

t) =e

a

x

2

+bt

2

+

2

.fabxt) .

2.

3.

4.

5.

6.

7.

This represents a

1) wave moving in x direction with speed 2) standing wave of frequency .Jb

3)

standing wave of frequency tJ

A screw gauge gives the following reading when used to measure the diamete r of a

WI

Main scale reading : 0

mm

Circular scale reading : 52 divisions

Given that 1 mm on main scale corresponds to 100 divisions of the ci molar> scale

The diameter

of

wire from the above date is :

1) 0.052 em 2) 0.026 em 3) 0.005 em .52 em

A mass m hangs with the help of a string wrapped around a pu ley on a frictionless bearing. The pulley

has mass m and radius

R.

Assuming pulley to be a peri e Rif

or-

rn

circular disc, the acceleration

of

the

mass m, if the string does not slip on the pulley, is

1) g 2) ~ g 3) g

3 3

3

4)

g

2

Work done in increasing the size of a soa b bble

fr-o

m a radius

of

3 em to 5 em is nearly Surface

tension of soap solution= 0.03 Nm-

1

:

1)

0.

2n

mJ 2) 2n

mJ 4 n mJ

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is

at

rest at a point near the rim r isc. insect now moves along a diameter of the disc to reach its

other end. During the journey of

~ E f i e c t

the angular speed of the disc:

1) continuously decreases \) 2) continuously increases

3) first increases and the rq ecreases 4) remains unchanged

Two particles are executing simple harmonic motion of the same amplitude A and frequency w along the

x-axis. Their me s i t i o n is separated by distance X

0

(

X

0

> A) . If the maximum separation between

them

is

phase difference between their motion is :

2) 2: 3) 2: 4) 2:

4 6 2

The gravitational potential at a point on the


3/30

AIEEE 2011 3

9. A boat is moving due east in a region where the earth's magnetic field is 5.0x10-

5

NA-

1

m-

1

due north and

horizontal. The boat carries a vertical aerial 2m long. If the speed of the boat is 1.50

ms-\

the

magnitude of the induced emf in the wire of aerial

is:

1)

0.75 mV

2)

0.50 mV

3)

0.15 mV

4)

1 mV

10.

An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by :

dv

=

-2.5../V

dt

where v is the instantaneous speed.

1)

2

s 2)

4

s

11.

A fully charged capacitor

C

with initial charge q

0

is

connected to a coil of self

in

The

time at which the energy is stored equally between the electric and the agnetic field is :

1)

:...Jlc

2) 2n../Lc 3) JLc 4)

n.Jlc

4

12. Let the x - z plane

be

the boundary between two t r a n s p a r e r : ~ t Medium 1 in z

; >

0 has a refractive

index of J2 and medium 2 with z < 0 has a refractive irnQJex J j . A ray of light in medium 1 given by

13.

14.

15.

the vector

A=

6.J3i + s.J3]-1

k

The angle of refraction in

medium 2 is

(1) 45° (2) 60°

The magnitude of the magnetic inducti

(1) (2)

t

2n

2

R 2nR

(4) 30°

A thermally insulated vess san ideal gas of molecular mass

M

and ratio of specific heats y It is

moving with speed u an is eJ

i

eVI Iy brought to rest. Assuming

no

heat is lost to the surroundings, its

temperature increases b

},

.

1) y-

1

)Mu

2

(2) yMu

2

K 3) y-

1

)Mu

2

K 4) (y -

1

) Mu

2

K

2yR 2R

2R 2 y+1)R

)

112

(3) M

m

4)

_M_

M+m


4/30

AIEEE 2011 4

17.

18.

19.

20.

21.

22.

23.

This question has Statement - 1 and Statement -

2. Of

the four choices given after the statements,

choose the one that best describes the two statements.

Statement 1 : Sky wave signals are used for long distance radio communication. These signals are in

general, less stable than ground wave signals.

Statement 2 :

The state

of

ionosphere varies from hour to hour, day to day and season to seas

aR

.

(1) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation

of

Stateme flt

1.

(2) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation

of St

tem t-1.

(3) Statement-1 is false, Statement-2 is true.

(4) Statement-1 is true, Statement-2 is false.

Three perfect gases at absolute temperatures T

1

T

2

and T

3

are mixed. The

m

0 molecules are m

1

m

2

and m

3

and the number of molecules are n

1

n

2

and n

3

respectively. Assu rm ing no loss of energy, the

final temperature

of

the mixture

is

:

(1) n1

T1

+ n2T2+ n3T3 (2) n1

T1

+ n2 i + n3 (3)

n

1

n

2

n

3

n

1

T

1

n

2

T

2

n

3

T

3

n2T

2+ n2T2+ n2T2

1 1 2 2 3 _a

n

1

T

1

n

2

T

2

n

3

T

A resistor

'R'

and

2 ~ L F

capacitor

in

series is co necte through a switch to 200

V

direct supply. Across

the capacitor is a neon bulb that lights up 2{ : 1 20 Calculate the value of R to make the bulb light up 5 s

after the switch has been closed. (log

2.5 : .4

(1)

1.7x10

5

0

(2)

2.7x

0

6

[

(3)

3.3x10

7

0

(4)

1.3x10

4

0

. . 1

temperatures T

1

and T

2

has

eff1c1ency

. When T

2

is lowered by 62

6

K,

its efficiency increases t - . ifhen T

1

and T

2

are, respectively :

3

(1) 372

K

and

330

330

K

and 268

K

(3) 310

K

and 248

K 4)

372

K

and 310

K

(4) increases by 0.05%

Directio

t\_

n t ~ ~ o n

has a paragraph followed by two statements, Statement - 1 and statement -

2. Of

the

giv

eKJ

fout alternatives after the statements, choose the one that describes the statements.

A h1 air film

is

formed by putting the convex surface of a plane - convex lens over a plane glass plate.

W th monochromatic light, this film gives an interference pattern due to light reflected from the top


5/30

AIEEE 2011 5

24. A car is fitted with a convex side-view mirror of focal length 20cm. A second car 2.8 m behi?d tbe first

car is overtaking the first car at relative speed of 15 m/s. The speed of the image of the second c

e.c.

as

seen

in

the mirror of the first one is : li;)

1 1

1)

15

m/s 2) 10m/s 3) 15m/s 4)

1 0

m s

25.

Energy required for the electron excitation in

Li++

from the first to the third Bohr

1)

36.3 eV

2)

108.8 eV

3)

122.4 eV

4)

1 .1 eV

26. The electrostatic potential inside a charged spherical ball

is

given by

~

a p

2

+b where r is the distance

from the centre;

a, bare

constants. Then the charge density inside ba I is

+

27.

1)

6ac

0

r

2)

24nac

0

r

3)

6ac

0

4

)

24nac

0

r

A water fountain on the ground sprinkles water

all

around it.

fountain is

V,

the total area around the fountain that gets wet

I

v n v ~ 2

1) 2) 3)

g2 2 g2 g2

v

4) -

g

28.

1

DOg

of water

is

heated from 30°C to

5 0 ° C

~

g

n

o r i n g

e

slight expansion of the water, the change

in

its

internal energy is specific heat of water is 1 1 48 kg/K):

1) 8.4 kJ 2) 84 kJ 3 2.1 kJ 4) 4.2 kJ

29.

The half life of a radioactive subs .ance 1s

2

minutes. The approximate time interval t

2

- t

1

between

30.

. 2 . . 1 . .

the t1me t

2

when

3

of

1t

has de

cay:

e . t1me t

1

and

3

of

1t

had decayed

IS :

1) 14 min O 3) 28 min 4) 7 min

This question

h a s

~

t a t e

~

and Statement - 2. Of the four choices given after the statements,

choose the one \ e s t

s c r i b e s

the two statements.

Statement 1 : et surface is irradiated by a monochromatic light of frequency v

>

v

0

the threshold

frequency)

e

~ ~

a

x

m

u m kinetic energy and the stopping potential are

Kmax

and V

0

respectively. If the

frequency incide

to

n the surface doubled, both the

Kmax

and V

0

are also doubled.

State ·e t 2

· The maximum kinetic energy and the stopping potential of photoelectrons emitted from a

~ e ~

a r l y dependent on the frequency of incident light.

1

t s1atement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.

tatement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.

0).;statement-1 is false, Statement-2

is

true.

~ Statement-1 is true, Statement-2 is false.


6/30

AIEEE 2011 6

P RT B MATHEMATICS

31. The lines L

1

:

y -

x =0 and L

2

: 2x

+

y =0 intersect the line L

3

:

y

+

2 =0

32.

33.

bisector of the acute angle between L

1

and L

2

intersect L

3

at R .

Statement 1 The ratio

PR : RQ

equals 2../2 : /5

.

Statement

2 In any triangle, bisector of an angle divides the triangle into two

1)

Statement

1 is true, Statement 2 is true;

Statement

2 is not a correct e

xp

l

1

2) Statement 1 is true,

Statement

2 is false.

3)

Statement

1 is false,

Statement

2 is true.

4) Statement -1 is true , Statement 2 is true; Statement 2 is a co

r

ect xp la ation for Statement -1

If A = sin

2

x +cos

4

x , then for all real x

1) ~ A

:;

1 2) 1

:;

A :; 2

6

3

4 ) - < ; A :; 1

4

4) 144

34

_ l i m [ ~ 1 c o s { 2 x 2 }

x ~ 2

35.

1) equals J2

1

3) equals J2

4) does not exist

Statement 1 The numser

of

ways of distributing 10 identical balls in 4 distinct boxes such that no

ox is empty is

9

C

3

Statement - 1:: e number

of

ways

of

choosing any 3 places from

9

different places is

9

C

3

1) Statement 1 · · true,

Statement

2 is true; Statement 2 is not a correct explanation for Statement

1

Statement 1

AIEEE 2011 7


7/30

37.

If dy =

y+3

> 0 and y O) =

2,

then y ln2) is equal to

dx

1)5

2)13 3)-2 4) 7

38.

Let R

be

the set of real numbers

39.

40.

41.

42.

Statement 1 A= { x,

y)

ER x R:

y xis

an integer} is an equivalence relation on R.

Statement- 2 B = {

x,

y) E R

x

R : x =

y

for some rational number } is an equivalem e

r

lation on

R.

(1) Statement - 1 is true, Statement - 2 is true; Statement- 2 is not a correct explam ation for Statement

1

(2) Statement- 1 is true, Statement- 2 is false.

(3) Statement- 1 is false, Statement- 2 is true.

(4)

Statement

1 is

true , Statement- 2

is

true; Statement- 2

is

a cor

r:ect

expla

tA

ation for Statement

1

1

81og 1+x)

The value of

2

dx is

1

X

7I

(1) -log2

8

7I

(2) -log2

2

Let a be real and z be a complex number.

Rez = 1, then it is necessary that

(1)

~ E - 1 , 0 )

(2)

~ ~ ~ =

1)

( ·

~ ~ ]

z + = 0 has two distinct roots on the line

4 ) ~ E 0 , 1 )

If the probability of

at

least

4)

]

AIEEE 2011 8


8/30

45.

46.

47

48.

49.

50.

51.

52.

1 (

A A

If a

=

.J10 3i + k

and 5= 2 i +3}- 6k)

,

hen the value of 2a- 5).[ ax

5)x

a+ 25)] is

(1) -3

2)

5

3)

3

4)

-5

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point

( -3, 1) and has eccentricity s

1) 5x

2

+ 3y

2

- 48

= 0 2) 3x

2

+ 5y

2

-15 = 0 3) 5x

2

+ 3y

2

-

32 = 0

Let

I

be

the purchase value of an equipment and

V t)

be

the value after it h s

s

use for t years.

dV t)

The value V t) depreciates at a rate given by differential equation

=

f) , where k > 0 is a

dt

and P D) 0, then the correct statement among the

following is

(3)

P

C I D)= P(D)

P(C)

(4)

P(CID)=P(C)

(4) 3

AIEEE 2011 9


9/30

54. If the mean deviation about the median of the numbers a, 2a, ... , 50a is 50, then l l equals

55.

1)3

2)4

3)5 4)2

Statement-

1 The point

A 1,

0,

7)

is the mirror image of the point

8 1,

6,

3)

in

the line

x y-1 z 2

1 2 3

Statement- 2 : The line:

~ =

Y -

1

= z

2

bisects the line segment joining A

1

0,

7)

B 6, 3) .

1 2 3 \

1)

Statement- 1 is true, Statement-2 is true; Statement-2 is not a correct explanation for S

atement-

1

2) Statement- 1 is true, Statement- 2 is false.

3) Statement- 1 is false, Statement- 2 is true.

4) Statement 1 is true, Statement- 2 is true; Statement- 2 is a correct explana t

56.

Let A and B

be tvvo

symmetric matrices of order

3.

~ f i l l

Statement-1 : A BA) and

AB)A

are symmetric matrices

( J

57.

58.

59.

Statement- 2 : AB is symmetric matrix if matrix multiplication of

n d

B is commutative.

1)

Statement - 1 is true, Statement - 2 is true; State me - 2 correct explanation for Statement

1

2)

Statement- 1 is true, Statement- 2 is false.

3) Statement- 1 is false, Statement- 2 is true.

4) Statement 1

is

true, Statement- 2

is

tr , , n t 2

is

a correct explanation for Statement 1

The value of p and q for

sin p

+

1)x

+ sinx

X

q

~ - J X

x3t2

X


10/30

P RT C HEMISTRY

61. Among the following the maximum covalent character is shown by the compound :

1) SnCI

2

2) AICI

3

3) MgCI

2

4) FeCI

2

62. The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA

?

1) 2nd 2)

3rd

3)

4th

(4) 1st

63. Trichloroacetaldehyde was subjected to Cannizzaro s reaction by using NaOH.

products contains sodium trichloroacetate and another compound. The other campo

1) Trichloromethanol 2)

2,

2, 2-Trichloropropanol

3)

Chloroform

4)

2, 2, 2-Trichloroethanol

64. Sodium ethoxide has reacted with ethanoyl chloride.

reaction is :

1) 2-Butanone 2) Ethyl chloride

65.

66.

67. The degree of dissociation

expression :

is related to van t Hoff factor i) by the

68.

69.

1) ex= i -1

X+y+1

3) ex= x+y+1

1 1

(4)

ex=

i-1

x+y-1)

I

EEE 2011 11


11/30

72.

73.

74.

75.

76.

77.

78.

79.

80.

Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should

be

added to 4 kg of water to prevent

it

from freezing at -6°C will be :

[Kr for water

=

1.86 K kg mol-

1

, and molar mass of ethylene glycol

=

62g mol -

1

1)

204.30g

2)

400.00 g

3)

304.60 g

4)

804.32g

Which one of the following order represents the correct sequence

of

the increasing basic natl:l e of the

given oxides ?

1)

MgO < Kp <

lp

3

< Nap

3)

K p

< Nap < lp

3

< MgO

2)

Nap <

Kp

< MgO < lp

3

4)

lp

3

< MgO


12/30

83. Ozonolysis of an organic compound gives formaldehyde as one of the products.

presence of :

(1) a vinyl group (2) an isopropyl group

(3) an acetylenic triple bond (4) two ethylenic double bonds

84. A gas absorbs a photon of 355 nm and emits at two wavelengths.

680 nm, the other is at :

(1) 325

nm

(2) 7 43

nm

(3) 518 nm

85. Silver Mirror test is given by which one

of

the following compounds ?

(1) Acetone (2) Formaldehyde (3) Benzophenone

86. Which of the following reagents may be used to distinguish between p e

nol

a nd benzoic

acid?

(1) Tollen s reagent (2) Molisch reagent (3) Neutral Fe [; l

3

:

) Aqueous NaOH

reaction is

(1) 3-Bromophenol (2) 4-Bromophenol (4) 2-Bromophenol

88. In a face centred cubic lattice, atom A occupies the

c o

e positions and atom B occupies the face centre

positions. If one atom

of

B is missing from 0 e f the face centred points, the formula

of

the compound is

89.

90.

The entropy change involved in ~ isothe mal reversible expansion of 2 moles

of

an ideal gas from a

volume of 10 dm

3

to a volume of at 2JCC is:

(1) 35.8J

moi

1

K-

1

2 3J

1

n0i

1

K

1

(3) 42.3J moi-

1

K-

1

(4) 38.3J moi-

1

K

1

Identify the compound that exhibits tautomerism.

(1) Lactic 2-Pentanone (3) Phenol

(4) 2- Butene

I

EEE 2011 13


13/30

RE D THE FOLLOWING INSTRUCTIONS C REFULLY

1. The candidates should flll in the required particulars

on

the

Test Booklet and

Answer

Sheet

(Side-1) with

Blue/Black. Ball Point Pen.

3.

The

candidates should

not

write

their

Roll Numbers anywhere else (except

in

the sp

Test

Bookle

t/

Answer Sheet.

4. Out

of

the

four

options given for

each

question, only one option is the correct

5

For

each

incorrect response, one-fourth

1

/

4)

of the total marks allotted o

from the total score.

No

deduction from the total score , however,

will

for an item in the Answer Sheet.

e question would

be

deducted

e i

no response

is indicated

6.

Handle

the Test

Booklet and

Answer

Sheet

with care, as

un

deEn E

x:ru

mstances (except for discrepancy

in

Test

Booklet

Code

and

Answer Sheet Code), will anotheu

et

e rovided.

7.

The

candidates are

not

allowed to

do

any rougfl w

ork

GP

writing

work

on

the Answer Sheet. All

calculations/writing

work

are to

be done in

th:_p>ac pr ,/ ded for this

purpose

in the Test

Booklet

itself,

marked Space for Rough Work .

This

space s · en a e bottom

of

each page

and

in 4 pages (Pages

20

-

23) at the

end of

the booklet.

8.

On

completion of the test, the candid ,es st hand over the Answer Sheet to the Invigilator on duty in the

U

o

wed

to

take

away

this

Test

Booklet

with them.

9.

11. The candidates should no leave the Examination Hall without

handing

over their Answer Sheet to the

lnvigilator

on

·u

an

d sign the Attendance

Sheet

again. Cases where a candidate has

not

signed the

Attendanc S e

et

a se c

ond

time will

be deemed

not to have

handed over

the Answer

Sheet and

dealt with

as an ur

ua · eans ease.

The

candidates are also required to

put their

lefthand

THUMB

impression in the

space pre

de

in the Attendance

Sheet

13.

Th

e candidates are gov

emed

by all Rules

and

Regulations

of

the

Board

with regard to their

conduct

in

the


14/30

I

EEE 2011 15


15/30

8. 4

Sol. At any instant of separation between charges is x.

9.

Sol.

10.

Sol.

11.

Sol.

12.

·1·b . d·t· K Q

X

equ1 1

num

con 1

1on

= ) 2 =

2

£

=:: Q2= x3

=:: 2Q dQ =

C3x

2dx

dt

dt

dx x

3 2

=::

- oc - oc x-1 /2

dt x

3

E =BH£V =

0.15mV

1

dv =

-2.5../V

dt

Integrating the

above

equation.

=::

2../V = -2.5t+C

at

t = 0 v = 6.

25

=::

C = 5

at

v = 0 =:: t = ~ = 2s

2.5

1

1

q2

U

2C

AIEEE 2011 16


16/30

14. 3

Sol. W

=

..

U

1

-mv

2

= nCvdT

2

15.

Sol.

16.

Sol.

m ~ d T

M

y-1

dT

=

M y

-1

)v2

K

2R

3

Energy of simple harmonic oscillator

is

constant.

1

2 2

1 )

2 2

=>-Moo A

1

= m+M o A

2

2 2

M+m

---;;;- M

2

~ M ~ m

3

Equation

of

continuity

::::> axv)top= a x v)bottom

v - 0.4)

2

=

2x9.8

x

0.2[v

2

u

2

= 2g

vb = 2m/s nearly)

n[8 x10-

3

Jx 0.4 = nd

2

x 4

d RO 3. 6 X 1o

3

m

17.

1

Sol. Since ionospheric roperties cF ange with time, these signals are in general less stable than ground wave

signals. +

18. 1

Sol.

AI

EEE

11

17


17/30

20.

S

ol

21 .

Sol

e

t

4

>

e = - - -

on integrat

ion)

3

12

8 in 6s) = 36rad

>

2

nn = 36

36

n =

- =< 6

21t

2

v

c = E 1 - e -t/R

c )

1

_

e t/Rc = 1 20

=

200 5

5

>

R

=

6

=

2 .7 x 10

6

Q

1 .8

4

x 1o

-

4

_ T

1

- T

2

_ 1

11

1-

- T-

- 6

1

T

1

- (T

2

-

62)

1

1

1

2 =

= -

T

1

3

T

1

-

T

2

62 1

=>

+ -

= -

T T

1

3

1

6 1

- + -

= -

6 T

1

3

62 1

T

1

6

+

:

T1= 62 X

6 = 3

7 K

T

1

- T

2

1

T1

6

1- T2

T

6

AIEEE 2011 18


18/30

13.

Sol. As light enters from air to glass it suffers a phase change

on n

and therefore at centre there will be

destructive interference.

24.

Sol.

25.

Sol.

26.

Sol.

1

1 1 1

- - =

v u f

1 dv 1 du _

0

~ d t ~ d t

= - J

f =

20

em

1 1 1

=

u

280 20

280

= :> v = -c m

15

280

J

V

1

= - x15

15x

280

1

= - m / s

15

2

So charge density is constant

I

EEE 2011 19


19/30

28

.

Sol

29 .

Sol

30

.

So

l

1

t Q =

U

+

t

W (ignoring e

xpansion)

t U

=

m st-.T

= 0.1x 4.184 x

20 = 8.368k

J

2

t

1

= 2

0 minutes

2

N = N

0

e

- J

2

At

1

= ln3

2

-

-)

. 2

t -

1

-N

0

N

0

e

1

- ln 3

3

_N

- N

- ).

2

3

o - ae

1 3

t

2

=

- I n

2

t - t =

2 1 2

=

In [ ]= 0.6

93

2

= 2

0 m in

3

KE

x

= hu -

hu

0

hu - hu

0

= e x

6 v

V _ hu _ hu

0

0

-

e e

'u'

is

doubl

ed

K

Ema

x =

2hu -

huo

Va

= (

t-.v ) = 2

u

e

e

KE

may not

be equa l to 2

KE

j18X

v

-

0

ma

y not equal to

2

Va

KE m

ax =hu - hu o

V

=

hu

_ hu

0

e e


20/30

I

EEE 2011 21


21/30

36.

Sol:

37.

Sol:

38

.

Sol:

d d x )

d [ 1

] 1

d

dy

J

dy

dy dy

= -

dy

dx

d y

2

1 d d

y J 2y )

dyJ-

3

= - d x

J x

dx = - d

x

2

dx

dy

= ~

dx

d x

y + 3

ln

y

+ 3 )

= X + C

=

=

0

c =

ln5

ln

y + 3 ) = x + ln5

y + 3 = eX In5 ~

y + 3 =

ln +

1n5

y

3

= 1 0 ~

=

7

x - y is an

in teger

As sum

of t

wo i

teg

ers is

an

intege

r

.

~ x

- y )+ ..y- z

= x z is an

in teger

~

A is tra

ns

iti

ve

. H ence

sta tement-

1 is true

.

is sym

metric

A

lso ~

1 is a ration

a l number

B is reflex ive

X

~

=

a

is rat iona

l

Y

need

not be rat ion

a l

y

X

0

1

1 e , - 1

s rat1onal 1s

not rat1on

al

1

0


22/30

I

EEE 2011 23


23/30

42.

Sol:

43.

Sol:

44.

Sol:

45.

Sol:

1

200

Sum= 11040

2

200

3

200

4

240

120 + 80 + 160 + 40 + 200 + 240 + = 11 040

[2a

+ n-1)d +80+ 40 = 11040

[240+ n-1)40J 10920

n 6 + n

-1

J

= 546

n n+5)=546

n = 21

2

1

x

=>

x

x

>

0

=>

lxl

>

x

=>

x

is

negative

X E - , 0

4

4

5

280

6


24/30

I

EEE 2011 25


25/30

53. 1

Sol: P =

y

2

,

y)

54.

Sol:

IY2- Y 11

Perpendicular distance from P to

x

y

+

1 = 0 is

J2

y

2

y

+

1 > 0 Vy

E

R

:

Coefficient y

2

>

0

. 1 [

4ac-

b

2

] 3

:

M1n value = J2

4

a =

4

[2

2

1

~ ~ x i

-AI

A= Median=

25

a

+

26

a = 25.5a

2

Mean deviation = -

1

{Ia-

25.5al

+

l2a-

25.5al} = _3_{ 24.5a

50 50

2

= -{312.5a} =50

50

=:::) 625a = 2500 =:::) a = 4

Given)

55. 1

Sol:

1, 2,

3

I

• A 1 ,0, 7)

Statement - 1 is perpendicular to given line and mid point of AB lies on line

S t a t e

is true but it

is

not correct explanation as it is bisector only.

If it ·s

l?e

, u l a r bisector then only

statement-

2

is

correct explanation.


26/30

I

EEE 2011 27


27/30

P RT

C

HEMISTRY

61. (2)

Sol

: Greater

charge and small size of cation cause more polarization and

more

covalent is that

compound

62. (1)

Sol :

In RNA,

the sugar

is Ribose,

where

as

in DNA the

Sugar is

-D-2-deoxy Ribose

63. (4)

Sol

64.

Sol

65.

Sol

66.

Sol

67

(2)

2H +

2e-

---

H

2

(g)

E E -

o

osg

log

[[

:] )

(here E is - •

•

AIEEE 2011 28


28/30

68. (3)

Sol

ease of liquefaction

a

X

b

for ethane a = 5.49, b=0.0638

for Cl

2

a=

6.49, b = 0.0562

69. (4)

Sol : C

2

(g) + C §

101

2CO(g)

70.

Sol

Initial moles p 0

Equilibriumm moles p-x 2x

Total pressure at equilibrium = 0.8 atm ; Total no.of

moles=

p +

x.

Therefore p rx n ;

0

·

5

=

_P_ :::> x

=

0.3

0 8 p X

K = P = 0 6 x 0 6 =

1 8

atm

P Pco 0 2

2

71. 2)

Sol

: [

Cr NH

3

)

6

] Cl

3

72.

Sol

73.

Sol

•

86

X W

2

X 1000

4 x 62

a period metallic strength decreases down the group

it

increases

I

EEE 2011 29


29/30

75.

Sol

76.

Sol

77.

Sol

78.

Sol

(2)

In [NiCI

4

t, n = 2

.1

=

~ n ( n + 2) BM

=

~ 2

2

2)

=

2.82BM

(1)

(3)

The general o.s of lanthanides is +3, only few elements exhibit

+4

o.s.

(2)

m

Molefraction of solute

X

2

) in aqueous solution=

1

0

0

7

0

m --

18

79. (4)

Sol

:

3

as M-H bond energy decreases.

80. (3)

81. (3)

Sol

:

S

can exhibit a minimum oxidation st te

Ex. H

2

S)

82. (3)

Sol : In IF

7

, I undergoes sp

3

d

3

oy

83. 1)

Sol

: Vinyl group

( CH

2

t

H-

•

84.

AIEEE 2011 30


30/30

86.

Sol

87.

Sol

88.

Sol

89.

Sol

90.

Sol

(3)

Phenol gives violet coloured comlex compound with neutral FeCI

3

ppt. with neutral FeCI

3

(3)

In acidic medium, KBr +

KBr0

3

in turn produces Br

2

. Phenol reacts with Br

trinitrophenol

(3)

Effective no of A

atoms=

. .x 8 = 1

Effective

no.

of B

atoms=

~

5

One s

m1ss1ng =

J

2

~ ; e r e f o r e formula s

A,B; • A, B, t

For an ideal gas, for Isothermal reversible process, '

V

~ 8 = 2 . 3 0 3

nR

l o g ~

J

~ ~

= 2 3 0 3 2 x 8 3 1 4 x l o g

~

~ ~

= 38.3 J mol-

1

.k-

1

•

Date post:	07-Aug-2018
Category:	Documents
Upload:	bon-axl-feeser
View:	226 times
Download:	0 times

AIEEE Paper 2010 Solved

Documents