03-08-13 Jr.coipl Jee Main (2012) Wtm-11 Final q'Paper

8/16/2019 03-08-13 Jr.coipl Jee Main (2012) Wtm-11 Final q'Paper

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Sri Chaitanya Narayana IIT Academy(Sri Sarvani Educational Society)

Common Central Office-Madhapur-HydSec: Jr.COIPL JEE MAIN – 2012

Dt: 03-08-13

Time : 3 Hor! "TM-11 M#$M#r%! : 3&0

IMPO'TANT INST'(CTIONS:

There are three parts in the question paper A, B, C consisting of P)*!ic!,

C)emi!tr* & M#t)! having 30 questions in each part of equal

weightage. Each question is allotted 4 four! "ar#s for each correct

response.Candidates will $e awarded "ar#s as stated a$ove in instruction for

correct response of each question. %4 one fourth! "ar#s will $e

deducted for indicating incorrect response of each question. 'o deduction

fro" the total score will $e "ade if no response is indicated for an ite" in

the answer sheet.

There is onl( one correct response for each question. )illing up "ore than

one response in each question will $e treated as wrong response and

"ar#s for wrong response will $e deducted accordingl( as per instruction


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Sri C)#it#+*# N#r#*#+# IIT Ac#,em* 03-08-13Jr.COIPLJEE MAIN2012/"TM-11

03*0+*%3-.C/12-EE*ain 0%*odel!5ee#end

6(lla$us

P)*!ic!:

5or#, 7inetic energ(,wor# * enegr( theore",conservative and non conservative

forces,potential energ(,conservation of energ(E8cluding spring pro$le"s!%009!

C)emi!tr*:

1eriodic Classi:cation; 1eriodic trends in properties of ele"ents ato"ic and ionic radii,

ioni 2ewis approach to

che"ical $ond for"ation, concept of ionic and covalent $onds, 2ewis strucutres,

)or"al Charge, onic Bonding; )or"ation of ionic $onds, factors a?ecting the

for"ation of ionic $onds= calculation of lattice enthalp(%00 9!

M#t)em#tic!:

@ *eo"etr(%009!

Jr.COIPL_JEE-MAIN space for rough work Page 2


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PHSICS

1. Work done by static friction on an object:

a) may be positie b) must be ne!atie

c) must be "ero d) none of these

#. $ man places a chain %of mass&m& and len!th &l &) on a table slo'ly. (nitially the lo'er

end of the chain just touches the table. he man drops the chain 'hen half of the chain

is in ertical position. hen 'ork done by the man in this process is :

a)#

l mg − b)

*

mgl − c)

+

,

mgl − d)

,

mgl −

+. he blocks $ and sho'n in the fi!ure hae masses M$ / k! and M * k!. he

system is released from rest. he speed of after $ has traelled a distance 1 m alon!

the incline is



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a)

+

# g b)

+

* g c)

# +

g d)

#

g

*. (n the fi!ure the ariation of components of acceleration of a particle of mass 1 k! is sho'n '.r.t. time. he initial elocity of the particle is ( )+ *u j= − +

r

m0s. he total 'ork

by the resultant force on the particle in time interal from t to t * seconds is :

a) ##./ 2 b) 1 2 c) d) 3one of these

/. 'o identical blocks $ and are placed on t'o inclined planes as sho'n in dia!ram.

3e!lect air resistance and other friction



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4ead the follo'in! statements and choose the correct options.

Statements I: 5inetic ener!y of &$& on slidin! to 2 'ill be !reater than the kinetic

ener!y of on fallin! to M.

Statements II: $cceleration of &$& 'ill be !reater than acceleration of && 'hen both

are released to slide on inclined plane

Statements III: Work done by e6ternal a!ent to moe block slo'ly from position to

O is ne!atie

a) only statement ( is true b) only statement (( is true

c) only ( and ((( are true d) only (( and ((( are true

7. $ 'ei!htless rod of len!th 2l carries t'o e8ual masses &m&9 one tied at lo'er end $ and

the other at the middle of the rod at . he rod can rotate in ertical plane about a

fi6ed hori"ontal a6is passin! throu!h C. he rod is released from rest in hori"ontal

position. he speed of the mass at the instant rod9 become ertical is:



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a)

+

/

gl b)

*

/

gl c)

7

/

gl d)

:

/

gl

. he potential ener!y for a force field ; is !ien by < %69y) cos %6 = y). he force

actin! on a particle at position !ien by coordinates 9*

π ÷

is

a)1

#i j− − − + ÷

b)

1

#i j− − + ÷

c)

1 +

# #i j− − + ÷ ÷

d)

1 +

# #i j− − − ÷ ÷

,. $ particle is moed from %9 ) to %a9 a) under a force ;%+ i− = * j

−) from t'o paths.

>ath 1 is O> and >ath # is O?>. @et W1 and W# be the 'ork done by this force in these

t'o paths. hen



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a) 1 #W W = b) 1 ##W W = c) # ##W W = d) # 1*W W =

A. $ particle is projected ertically up'ards 'ith a speed of 17 m0s9 after some time9

'hen it a!ain passes throu!h the point of projection9 its speed is found to be , m0s. (t

is kno'n that the 'ork done by air resistance is same durin! up'ard and do'n'ard

motion. hen the ma6imum hei!ht attained by the particle is %ake ! 1 m0s#)

a) , m b)*.,m c) 1.7 m d) 1#., m

1. $ particle of mass Bm moin! alon! a strai!ht line e6periences force B; 'hich aries

'ith the distance 6 traelled as sho'n in the fi!ure. (f the elocity of the particle at 6

is #

# F x

m9 then elocity at * 6 is:



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a) #

# F x

m b) #

F x

mc)

# F x

md) 3one of these

11. (n the track sho'n in fi!ure section $ is a 8uadrant of a circle of 1 metre radius. $

block is released at $ and slides 'ithout friction until it reaches . $fter it moes on

a rou!h hori"ontal floor and comes to rest at distance + metres from . What is the

coefficient of friction bet'een floor and bodyD

a) 10+ b) #0+ c) 10* d) +0,

1#. STATEMENT-1: $ 'ork done by friction is al'ays ne!atie

STATEMENT-2: (f frictional force acts on a body its 5.E. may decrease.



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a) Ftatement-1 is rue9 Ftatement-# is rueG Ftatement-# is a correct e6planation for

Ftatement-1.

b) Ftatement-1 is rue9 Ftatement-# is rueG Ftatement-# is 3O a correct e6planation

for Ftatement-1

c) Ftatement-1 is rue9 Ftatement-# is ;alse

d) Ftatement-1 is ;alse9 Ftatement-# is rue

1+. STATEMENT-1 : he 'ork done by all forces on a system e8uals to the chan!e in

kinetic ener!y of that system. his statement is true een if non conseratie forces act

on the system.

STATEMENT-2 : he total 'ork done by internal forces may be positie.

a) Ftatement-1 is rue9 Ftatement-# is rueG Ftatement-# is a correct e6planation for

Ftatement-1

b) Ftatement-1 is rue9 Ftatement-# is rueG Ftatement-# is 3O a correct e6planation

for Ftatement-1

c) Ftatement-1 is rue9 Ftatement-# is ;alse

d) Ftatement-1 is ;alse9 Ftatement-# is rue.

1*. $ small block of mass m is kept on a rou!h inclined surface of inclination θ fi6ed in a

lift. he lift moes up 'ith a uniform elocity V and the block does not slide on the

incline. he 'ork done by the force of friction on the block in time Bt’ 'ill be:



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a) ero b) mgvt cos# θ c) mgvt sin# θ d) mgvt sin #θ

1/. Consider t'o obserers moin! 'ith respect to each other at a speed V alon! a strai!ht

line. hey obsere a block of mass Bm moin! a distance l on a rou!h surface. he

follo'in! 8uantities 'ill be same as obsered by the obserers:

a) 5inetic ener!y of the block at time t b) Work done by friction

c) otal 'ork done on the block d) $cceleration of the block

17. $ uniform chain has mass M and len!th l . (t is lyin! on a smooth hori"ontal table 'ith

half of its len!th han!in! ertically do'n'ard. he Work done in pullin! the chain

up the table is:

a) MgL/2 b) MgL/4 c) MgL/8 d) MgL/16

1. $ particle of mass 1 !m e6ecutes an oscillatory motion on the concae surface of a

spherical dish of radius #m placed on a hori"ontal plane. (f the motion of the particle

starts from a point on the dish at a hei!ht of 1 cm from the hori"ontal plane and the

coefficient of friction is .19 ho' much total distance 'ill be moed by the particle

before it comes to rest: %take g 1 m 0 s#)

a) 1 m b) 1 m c) 1 m d) .1 m

1,. A runnin! man has half the kinetic ener!y of a boy of half his mass. he man speeds

up by 1 m0sec and then has the same kinetic ener!y as the boy. he ori!inal speed of

the boy 'as:



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a) # m0s %b) A.7 m0s c) *., m0s d) .# m0s

1A. $ ball P is projected ertically up. $nother similar ball ? is projected at an an!le */I.

oth reach the same hei!ht durin! their motion. hen9 at the startin! point9 ratio of

kinetic ener!y of P and ? isD

a) ./ b) .#/ c) # d) *

#. $ particle of mass m is moin! in a hori"ontal circle of radius r under a centripetal

force e8ual to #k

r

− ÷

'here k is a positie constant. hen if kinetic ener!y9 potential

ener!y and mechanical ener!y of the particle are 5E9 >E and ME respectiely. Which

one is correctD

a) 9 9# #

k k k KE PE ME

r r r

= = = − ÷ ÷ ÷

b) 9 9# #

k k KE PE ME zero

r r

= = = ÷ ÷

c) 9 9 KE zero PE zero ME zero= = = d) 9 9# #

k k k KE PE ME

r r r

= = = ÷ ÷ ÷

#1. $ 1 k! block is pulled alon! a frictionless surface in the form of an arc of a circle of radius 1 m. he applied force F is # 3 as sho'n. (f the block started from rest at

point P. then its elocity at ? 'ill beD %take g 1 m0s# )



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.

7

P

! F

a) 1*. m0s b) 1/. m0s c) 17. m0s d) 1.+ m0s

##. $ stone 'ith 'ei!ht W is thro'n ertically up'ard into the air 'ith initial elocity

B"#’ . (f a constant force Bf due to air dra! acts on the stone throu!hout the fli!ht J if

the ma6imum hei!ht attain by stone is Bh and elocity 'hen it strikes to the !round is

B"’. Which one is correct

a)#

1 0 # 9

$ % " g " "

W

= + = ÷

b)#

0 # 1 9

$ % " g " zero

W

= + = ÷

c)#

0 # 1 9

$ W $ % " g " "

W W $

− = + = ÷ + d)

#

0 # 1 9

$ W $ % " g " "

W W $

+ = + = ÷ −



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#+. $ block of mass Bm’ released from rest from point BO as sho'n belo'. he elocity

of the block at the lo'est points are 9 9 & E F " " " respectiely. $ssume coefficient of

kinetic friction bet'een surface and the block is same in all cases. hen9

x

'

& E F x

'

x

o o o( ) A ( ) ( ( ))

a) & E F V V V > > b) F E &V V V > > c) & E F V V V = = d) & E F V V V = = =

#*. $ body of mass Bm is moin! in a circle of radius K 'ith a constant speed ". he

force on the body is#m"

r and is directed to'ards the center. (f 'ork done by this force

in moin! the body oer half the circumference and complete circumference is W and

1W * then:

a)#

19 9

m"W r W zero

r π = = b)

#19 # 9

m"W r W zero

r = =

c)# #

19 .#

m" m"W W r

r r π = = d) W "ero9 1W "ero



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#/. $ heay stone is thro'n from a cliff of hei!ht h 'ith a speed v. he stone 'ill hit

!round 'ith ma6imum speed if it is thro'n:

a) ertically do'n'ard b) ertically up'ard

c) hori"ontally

d) the speed does not depend on the initial direction

#7. he ne!atie of the 'ork done by the conseratie internal forces on a system e8uals

the chan!e in:

a) total ener!y b) kinetic ener!y c) potential ener!y d) none of these

#. he 'ork done by all the forces %e6ternal and intern on a system e8uals the chan!e in:

a) total ener!y b) kinetic ener!y c) potential ener!y d) none of these

#,. ;orces actin! on a particle moin! in a strai!ht line aries 'ith the elocity of the

particle as F t α ∆ 'here α is constant. he 'ork done by this force in time interal

∆ t is:a) t α ∆ b)

1

#t α ∆ c) # t α ∆ d) # t α ∆



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#A. (n sho'n fi!ure9 the trolley starts acceleratin! 'ith acceleration +. he ma6imum

an!le deflected by thread from ertical 'ill be

a

a)

1tan

+

g

− ÷

b)1 #

tan +

g

− ÷

c)1

#tan +

g

− ÷

d)1

tan#

+

g

− ÷

+. $ force F B( ) K 'i x j− + %'here K is a positie constant) acts on a particle moin! in

the 6-y plane. Ftartin! from the ori!in9 the particle is taken alon! the positie 6-a6is to

the point %a9 ) and then parallel to the y-a6is to the point %a9 a). he total 'ork done

by the force F on the particle is:

a) -#5a# b) #5a# c) -5a# d) 5a#



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CHEMIST'

+1. Which one of the follo'in! has an electroalent linka!eD

a) CH* b)3aCl c) FiCl* d) ;+

+#. Which of the follo'in! has hi!hest @attice ener!y

a) @i; b) @iCl c) @ir d) @i(

++. Which of the follo'in! is a faourable factor for cation formation

a) Hi!h electrone!atiity b) Hi!h electron affinity

c) @o' ioni"ation potential d) Fmaller atomic si"e

+*. Which of the follo'in! is not correcta) @o' ioni"ation potential is a faourable condition for the formation of cataion

b) Co-ordination number of Cs in CsCl is ei!ht

c) (onic bond is directional bond

d) (onic compounds hae hi!h meltin! points

+/. he element that e6hibits both electroalency and coalency is

a) 3eon b) Fodium c) arium d) Chlorine

+7. $mon! the alkaline earth metals9 the element formin! predominantly coalent

compound is

a) e b) M! c) Fr d) Ca



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+. he molecule that deiates from octet rule is

a) CCl* b) ;+ c) CH* d) 3Cl+

+,. he ion that has pseudo inert !as confi!uration

a) Mn#= b) Cu#= c) n#= d) Cr #=

+A. he formal char!e of central o6y!en in o"one molecule is

a) =1 b) -1 c) ero d) =#

*. Ho' many unit cells are present in a cube shaped ideal crystal of 3aCl of mass 1!D

a) #11.: 1× unit cells b) #1#./: 1× unit cells

c) #1/.1* 1× unit cells d) #11.#, 1× unit cells

*1. Which of the follo'in! contain both ionic and coalent bond

a) M!O b) 3a#F c) 3aC3 d) $l;+

*#. he correct order of increasin! coalent character is

a) * + #,i)l Al)l )+)l K)l < < < b) # + * K)l )+)l Al)l ,i)l < < <

c) + # * Al)l )+)l K)l ,i)l < < < d) * # +,i)l K)l )+)l Al)l < < <

*+. $: tetracyanomethane : carbondio6ide

C: ben"ene L: 19 +-buta-di-ene

4atio of σ and π bonds is in order

a) A ( ) &= < < b) A ( & ) = < <

c) A ( ) &= = = d)) & A (< < <



18/28


**. he coalent and Kander Waals radii of chlorine repectiely are

a) 1., $ J .AA $ b) .AA $ J 1., $

c) 1., $ J 1., $ d).AA $ J .AA $

*/. Metallic radius of Ca is #pm then coalent radius of Ca is

a)# pm b) #+pm c)#,pm d)1*pm

*7. Fimilarity in the radius of r and Hf is e6plained on the basis of

a)@anthanide contraction b) (nert pair effect

c)Fame outer shell confi!uration d) Hi!h effectie nuclear char!e

*. Fcreenin! effect is not common for the element of the period

a) b)+ c)1 d)*

*,. $9 and C are atoms of elements 'ith atomic number 9 =1 and =# respectiely. (f

B has octet confi!uration the bond formed bet'een B$ and BC predominantly

a) (onic bond b) Coalent bond c) Latie bond d) Hydro!en bond

*A. he common o6idation state of inner transition elements is

a) =1 b) =+ c) -+ d) =/

/. $n element has nine positie char!es in its nucleus. (ts common o6idation state is

a) = b) =/ c) -1 d) =1

/1. enerally the nature of the non -metallic o6ides is



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a) asic b)$cidic c) $mphoteric d)3eutral

/#. Element 'ith atomic number +,9 belon!s to

a) (( $ !roup and /th period b) (( $ !roup and #nd period

c)K $ !roup and #nd period d) ((( $ !roup and /th period/+. $n element of /f-series but has no electrons filled in /f-sub shell

a) $c b) Ce c) h d) <

/*. When electron is added9 ener!y is absorbed in 'hich of follo'in!D

a) C b) 3 c) ; d) O

//. he second member in /d-series elements %d- block) is

a) @a b) a c) Hf d) W

/7. he dia!onal relationship phenomenon is not absorbed after

a) ( $ roup b) (( $ roup c) ((( $ roup d) (K $ roup/. he formula of metallic carbonate is MCO+ then formula of metallic perchlorate is

a) MClO* b) M#ClO* c) M%ClO*)# d) M%ClO*)+

/,. Fome statements are !ien. $mon! them the correct statements are

() Fecond ioni"ation potential of sodium is !reater than that of Ma!nesium

(() Fecond ioni"ation potential of lithium !reater than first ioni"ation potential of

Helium

((() Fecond ioni"ation potential of sodiium !reater than first ioni"ation potential of

3eon

(K) ;irst ioni"ation potential of o6y!en is !reater than that of 3itro!en

a) Only (9 (( and ((( are correct b) Only (9 (( are correct

c) Only (9(K are correct d) $ll are correct



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/A. he first ioni"ation potential of four consecutie elements present in the second period

of the periodic table are ,.+911.+9 1*./ and 1+.7 respectiely. Which one of the

follo'in! is the first ioni"ation potential %in eK) of nitro!en

a) 1+.7 b) 11.+ c) ,.+ d) 1*./

7. he ioni"ation enthalpy of @ithium is /# k2mol-1. Calculate the amount of ener!y

re8uired to conert 1* m! of lithium atoms in !aseous state into @i= ion

a)1*.* k2 b) 1#.* k2 c) 1.* k2 d) 1+.* k2



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MATHS

71. 'o rods of len!ths #a and #b moe alon! 6 and y Na6es respectiely such that their

e6tremities are al'ays concyclic then9 the locus of the centre of the circle is :

a) # # # # x ' - +− = − b)

# # # # x ' + -+ = +

c)# # # # x ' + -− = − d) x' +-=

7#. (f $%a9b)9%a=γ cosα 9 b=γ sinα ) and C%a=γ cos β 9 b=γ sin β ) are the ertices of an

e8uilateral trian!le9 then α β − is e8ual to :

a)#

π b)

+

π c)

*

π d)

7

π

7+. @et $%/9* ) and %97) be t'o points9 then the locus of the point p such that

>$: ># : + is# #

# # # +x %x' -' gx $' .+ + + + + = to remoe the first de!ree terms from

this e8uation9 the ori!in is shifted to the point 'hose coordinates are

a)1:

9 7+

÷

b) 1:

9 7/

− ÷

c)1:

9 7/

− − ÷

d)1:

9 1#/

− ÷

7*. he circum centre of a trian!le lies at the ori!in . he centroid is the mid point of the

se!ment joinin! the points %#9#) and %#9-#).hen the coordinates of the orthocenter of

the trian!le are:

a)%79) b)%797) c) %97) d) %+9+)



22/28


7/. he number of points %69y) satisfyin! the e8uations 1 x '+ = and ( )cos# x '+ is

a) b) # c) * d) infinitely many

77. $ rectan!le >?4F joins the points >%#9+)9 ?%69y)9 4%,911) and F%6#9y#). he line ?F

is parallel to y-a6is . hen the coordinates of ? and F are 9 respectiely.

a) %9) and %19) b) %/9#) and%/91#)

c) %97)and%91) d) %/9+)and%/91#)

7. he a6es are rotated throu!h +

in anti clock'ise sense 'ithout chan!in! the ori!in.

(f %69y) is the point in the ne' coordinate system representin! %-#9*) in the old

system%ori!inal system)9 then 6=y

a) # b) * c)+ + d) + ++

7,. he an!le throu!h the a6es are to be rotated about the ori!in so as to remoe the 6y

term from the e8uation # # ## + # x x' ' ++ − − = is

a)#

π b)

7

π c)

*

π d)

1,

π



23/28


7A. @et $%#9+) and %-+9*). (f > is a moin! point such that the area of ∆ >$ is 10#

s8uare unit9then the locus of > is# #

#/ 1 +* x ' x' x 'λ + + − + = 'here λ is

a) 1/ b)-1/ c) 1 d) -1

. @et $%A9#)9%191) and C%-97) are the ertices of the trian!le. (f L9E9; are the mid

points of the sides 9 $ and $ respectiely then the centroid of ∆ LE;

a)%+9#) b)%197) c)%19#) d)%#97)

1. (f the midpoint of the line se!ment joinin! %+9*) and %h9) is %69 y) and #6=#y=19

then the alue of h is e8ual to:

a) 1# b)-1# c) -1/ d)1/

#. (f is the centroid of ∆ $C9 then ( ) ( ) ( ) ( )# # # # # # A( () )A K /A /( /) + + = + + 'here k

e8uals

a) + b) A c) 7 d)1#

+. @et $%/9-#) and %A97) @et >%619y1) diide $ in the ratio + : 1. (f ? is the

harmonic conju!ates of > '.r.t %$9)9 then the sum of the coordinates of > and ? is a

product of

a)'o prime numbers b)hree prime numbers

c) $ prime numbers and its multiple d) #and A



24/28


25/28


a) ( )+9 #− b) ( )+9 + #− c) ( )+9# #− d) ( )+9 #− −

,. ;1%19*) and ;#%19-*). > is a moin! point such that >;1 N >;# 7 .hen the locus of >

is 'here# #

+x -' x 0 + + + = 'here a=b=c=d is e8ual to

a)./7 b) .77 c) -/7 d). -77

A. (f >%19#) 9 ?%*97)9 4%/9) and F%a9b) are the ertices of a parallelo!ram >?4F9 then

a) a#9 b* b) a+9 b* c) a#9b+ d) a+9 b/

,. (f >%19)9?%-19) and 4%#9) are three !ien points. >oint F satisfies the relation

%F?)#=%F4)##%F>)# 9he locus of F meets the line >? at the point

a) %#0+9) b) %9-#0+) c) %-+0#9) d) %9),1 $%9)9%-#0+90+)9C%a9b) and L%/0+9-*0+) are the ertices of a parallelo!ram. > and ?

are t'o points on the dia!onal L such that L>>??9then the area of ∆ C>? is :

a)10+ b)10# c) *-* d)1

,#. $CL is rectan!le described clock sense 9 he coordinates $ are %19+) and C are

%/91). (f the coordinates of and L satisfy the relation y#6=k9 then the mid point of

L is

a) %#9+) b) %#9#) c) %+9#) d) %+9*)



26/28


27/28


,,. E8uation of the locus of the point > such that the line se!ment joinin! the points

$%#9+)9%-19/) subtends ri!ht an!le at > is 6#=y# - a6- by =c then 9 the alue of a=b-

c is

a) * b) -* c) , d).-,

,A. he area of the trian!le 'hose ertices are $%696-#)9%6=+96) and C%6=#96=#) is

a) 7 b) (ndependent of 6 c) , d) A0#

A. @et O%9) 9>%+9*) and ?%79) be the ertices of a trian!le O>? the point 4 lies inside

the ∆ O>? such that the trian!les O>4 9 >?4 and O?4 are of e8ual areas. hen the

coordinates of 4 are:

a) %*0+9+) b) %+9#0+) c) %+9*0+) d)%*0+9#0+)

03-08-13Jr.COIPLJEE-MAIN PAPE' SETTE' NAMESP-CO

1D6C6 ; @A 1A6A@ F4404+GHIF!

Che"istr( ; 6.A.'A@ F+4+H%0%0I

AT6 ; .6.' TD F+4F%G%44



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03-08-13 Jr.coipl Jee Main (2012) Wtm-11 Final q'Paper

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