cbse qp dated 21-03-09

8/10/2019 Cbse Qp Dated 21-03-09

http://slidepdf.com/reader/full/cbse-qp-dated-21-03-09 1/15

CODE : GANESH VSP-VR / 21-03-2009

PPART TEST – 5LT-IIT (REG)

Time: 3 hours Maximum marks: 246

Date: 21-03-09

MATHS

SECTION – A

Straight Objective Type

This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D), out of whichONLY ONE is correct.

. !n a two pla"er #ame there is alwa"s a winner. A,B and C are there pla"ers. The pro$a$ilities of A

$eatin# B, B $eatin# C and C $eatin# A are equal and equal to %&'. !f two pla"ers pla", the winner

will pla" with the third. !f B and C pla", then the pro$a$ilit" of A $ein# the final winner isa) %&* $) +&* c) &* d) 4&*

%. !f , , a b c< < and %a b c+ + = , then the minimum -alue of( ) ( ) ( )

abc

a b c− − − is

a) 4 $) 6 c) d) %

'. !f A and B are different square matrices of same order such that ' ' A B

= and % % A B B A

= then

a) det ( ) A B+ ≠ $) det ( )% % A B+ ≠ c) det ( ) A B+ = d)det ( )% %

A B+ =

4. The num$er of real solutions a such that% ' +

a a aa

+ + = wher [ ] x is the #reatest inte#er not

e/ceedin# / is

a) + $) %+ c) '+ d) '

+. !f the quadratic equation % 6 ax bx+ + = has no distinct real roots, then the minimum -alue of

'a b+ is

a) 0% $) 0 c) 4 d)

6. 1et

%

' %

A

=

and %, X X and 2' are the column -ectors such that

% '

% %

, ' '

AX AX and AX

= = =

. B is the ' '× matri/ whose columns are %, X X and 2'.

Then det B is equal toa) '&% $) % c) 0' d) '

8/10/2019 Cbse Qp Dated 21-03-09



SECTION – B

Multiple Correct Answer Type

This section contains 4 multiple correct answer(s) t"pe questions. Each question has 4 choices (A), (B), (C) and (D),out of which ONE OR MORE is&are correct.

3. !f6 +

3 6 A

=

, then

a) ad6 +

3 6 A

− = −

$)

6 +

3 6 A−

− = −

c) % % A A I − + = d)%

A

=

. % ', , Z Z Z are comple/ num$ers such that % '

Z Z Z = = = and%% %' %

% ' ' %

Z Z Z

Z Z Z Z Z Z + + = − . Then

a) % ' Z Z Z + + = $) % '

% Z Z Z + + = c) % ' % Z Z Z or + + =

d) The distance $etween the ori#in circumcentre and orthocenter of the trian#le with -ertices at

% ', Z Z and Z is %.

*. Coefficient of +, x in the e/pansion of ( ) ( ) ( )% **

... x x x+ + + + + + + is

a)( ),,

+C $)

( )**

+,C c)

( ),,

4*C d)

( )**

4*C

. 1et a and $ $e two positi-e real num$ers. 5uppose %, A A are two arithmetic means %

G and G are

two #eometric means and %, H H are two harmonic means t7$etween a and $. then

a) % %

% %

G G A A

H H H H

+=

+ $) %

%

+ %

* *

G G a b

H H b a

− = + ÷

c)( ) ( )

%

%

*

% %

H H ab

A A a b a b

+=

+ + + d)

% %

%

%

% +

* *

H H a b

A A a b

+ +− = ÷+ +

SECTION – C

Reasoning TypeThis section contains 4 reasonin# t"pe questions. Each question has 4 choices (A), (B), (C) and (D), out of which

ONLY ONE is correct.

a) Both A an R a!" t!#" an R $% &o!!"&t "'(anat$on o* A+

,) Both A an R a!" t!#" ,#t R $% not &o!!"&t "'(anat$on o* A+

&) A $% t!#" R $% *a%"+ ) A $% *a%" R $% t!#".

8/10/2019 Cbse Qp Dated 21-03-09


CODE : GANESH VSP-VR / 21-03-2009. Assertion (A)8 !f /,",9 are positi-e reals such that x y z + + = then the minimum -alue of

4 * 6

x y z + + is .

:eason (:)8 ( )4 * 6 4 * 6

x y z x y z x y z

+ + = + + + + ÷

.

%. Assertion (A)8 There are ;<=: machines and it is >nown that e/actl" two of them are fault". The"are tested one $" one, in a random order till $oth the fault" machines are identified. Then the

pro$a$ilit" that onl" two tests are needed is &6.

:eason (:)8 Two fault" machines can $e identified, if the first two tests "ield the two #ood ones or

fault" ones.

'. Assertion (A)8 1et% %na n= + and nd is the #reatest common di-isor of na and na

+ . Then is the

least positi-e inte#er which is di-isi$le $" nd .

:eason (:)8 !f a non09ero inte#er p di-ides two inte#ers m and n, then p di-ides m n± .

4. Assertion (A)8( )

''

,

,,4+

cos

sin sin k

ec

k k =

=+

∑ .

:eason (:)8( )

( )( ),, ,

,,

cos cot cot

sin sin ec k k

k k = − +

+

SECTION – D

Linked Comprehension Type

This section contains ' para#raphs. Based upon each para#raph, ' multiple choice questions ha-e to $e answered.

Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Pa!a.!a(h *o! #"%t$on% No%+ 1 to 1

PASSAGE-I

!f %, , ......... na a a are positi-e real num$ers, then ( )

%

% '

, , ..............n n

n

a a aa a a a

n≥

(equalit" holds if and onl" if % '..... na a a a= = = = ). Answer the questions num$ered +,6 and 3.

+. !f a,$,c and d are positi-e reals such that %a b c d + + + = , then ( ) ( ) M a b c d = + + satisfies the

relation8

a) , M < ≤ $) % M < ≤ c) % ' M < ≤ d) ' 4 M < ≤

6. !n ABC ∆ whose side len#ths are a,$ and c,d. leta

M b c a

=+ −∑

. Then

a) ' M < < $) , ' M < ≤ c) ' M ≥ d) ' * M < ≤

3. 1et a,$,c $e positi-e reals and% % % % % %b c c a a b

M b c c a a b

+ + += + +

+ + + then

a) , M a< < $) a M a b≤ < +

c) a b M a b c+ ≤ < + + d) ( )%a b c M a b c+ + ≤ < + +

8/10/2019 Cbse Qp Dated 21-03-09



PASSAGE-

The s"stem of equation % % %, a x b y c z a x b y c z + + = + + = and ' ' '

a x b y c z + + =

has common non09ero solution if and onl" if

% % %

' ' '

a b c

a b c

a b c

= . Consider the s"stem of equation

( ) ( )4 4 % x k y k z + + + + = , ( ) ( ) ( )% ' ' 4 , % ' 4 x ky k z x k y k z + + + = + + + + = answer the

questions num$ered ,* and %.

. The s"stem has no no09ero solution if

a) %k = ± $) ,k ≠ c) ( )%k ≠ ± d) > is an" real

*. The s"stem has non09ero solution if

a) > ? $) %k = ± c) k = ± d) no real -alue for >

%. when > ? 0%, then

a) 4 , , x t y t z t = = = $) % , 4 , x t y t z t = = =

c) , , ' x t y t z t = − = = d) , % , 4 x t y t z t = − = = −PASSAGE-

1et ( ) % f x ax bx c≡ + + = $e a quadratic equation and α β < $e real roots. Then for all

( ), x α β ∈ , ( ) f x and a ha-e opposite si#ns and for all ( ), x or x f xα β < > and a ha-e same si#n.

!f ( ) f x = has no real roots, then for all x R∈ , ( ) f x and a will ha-e the same si#n. Answer the

questions num$ered %,%% and %'.

%. !f $oth roots of % x mx− + = are less than unit" then

a)%

m ≤ −

$), %

m< ≤

c) %m > d) m−∞ < < ∞

%%. !f 6 lies $etween the roots of the equation ( )% % ' * x m x+ − + = , then

A)'

4m < $)

'

4m < − c)

' '

4 4m− < < d) ,m >

%'. 5uppose one root of ( ) %+ % 4 a x ax a− − + − = is les then unit" and the other is #reater then %, then

8/10/2019 Cbse Qp Dated 21-03-09



a)%*

4a > $) +a > c)

%*+

4a< < d) + %4a< <

PHYSICS

SECTION – A


This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D), out of which


%4. !n a resonatin# air column e/periment, when the air0column is -i$rated with a tunin# for>, the first

and the second resonatin# len#ths are measured as l and %

l . @hen a tunin# for> of relati-el" hi#h

frequenc" is used, the measurement of

a) l $ecomes more sharp $) %

l $ecomes more sharp

c) $oth l and %

l remain equall" sharp d) none of these

%+. lane wa-efronts are incident on a spherical conca-e mirror as shown in the fi#ure. @hich of the

followin# fi#ures $est represents the reflected wa-efrant

a) $)

c) d)

8/10/2019 Cbse Qp Dated 21-03-09



%6. asses of two iso$ars64

%*Cu and

64

' Zn are 6'.*%* amu and 6'.*%*% amu. :especti-el" from this

data, is can $e concluded that

a) n deca"s to Cu throu#h β 0 deca" $) Cu deca"s to n throu#h γ deca"

c) Cu deca"s to n throu#h β 0 deca" d) nothin# can $e concluded.

%3. !n the circuit shown in the fi#ure, the ammeter is accurate $ut the -oltmeter has 9ero0error. @hen the

ammeter reads .3+ A, the -oltmeter reads 4.4 $ut when the ammeter reads %.3+ A, the -oltmeter

readin# chan#es to %%.4. The 9ero error of the -oltmeter is

a) .% $) .4 c) .' d) .

%. !n the fi#ure shown, if a parallel $ean of white li#ht is incident on the plane of the slits then the

nearest white spot on the screen form < is at a distance of (assume d FF D and d λ << )

a) $) d&% c) d&' d) d&6

%*. 1i#ht descri$ed at a place $" the equation ( ) ( ) ( )+ + sin + sin v E s t s t m

− − = × + × falls

on a metal surface ha-in# wor> function % e. The ma/imum >inetic ener#" of the emitted photo

electrons is

A

:

<

D5

%

5

%d&'

d&'

8/10/2019 Cbse Qp Dated 21-03-09


CODE : GANESH VSP-VR / 21-03-2009a) .%* e $) %.+ e c) '.%3 e d) 6.+6 e

SECTION – B


This section contains 4 multiple correct answer(s) t"pe questions. Each question has 4 choices (A), (B), (C) and (D),

out of which ONE OR MORE is&are correct.

'. !n the e/periment for the determination of the focal len#th of a conca-e mirror, the followin# readin#

were noted. (u ? o$ect distance and - ? ima#e distance)

&u .4 .'4 .%* .%+ .%' .%

&- . .3 .%% .%+ .% .'%

@hich of the followin# is correct

a) $)

c) the radius of cur-ature of the mirror is 4 cm

d) !n the option (a) if A and B were mar>ed as 4 cm then (a) would $e correct

'. Two point coherent sources are 4d λ = apart. A detector is mo-ed to re#ister ma/ima. Gow man"

ma/ima will it re#ister

a) when it mo-es alon# a line parallel to the slits. !t re#isters * ma/ima

$) when it mo-es alon# a line perpendicular to the line oinin# the slits and passin# throu#h one of

the slits it re#isters * ma/ima

c) when it mo-es alon# the perpendicular $isector to the line oinin# the two slits then it re#isters *

ma/ima

d) it will not re#ister an" ma/ima, whate-er $e the line of motion

'%. The electron in a h"dro#en atom ma>es a transition %n n→ where

n and %n are the principal

quantum num$ers of the two states. Assume Bohrs model to $e -alid. The time period of the

electron in the initial state is ei#ht times that in the final state. The possi$le -alues of n and %

n are

a) %4, %n n= = $) %

, %n n= = c) %., n n= = d) %

6, 'n n= =

''. !n two s"stem of units, the relation $etween -elocit", acceleration and force is #i-en $"%

% % ,ev v a a

t = = e.t, and

%

F F

et = where e and t are constants. !n these s"stems

% cm

% cm

A4+

B

u

-

&u

&-

.+ cm0

.+ cm0

8/10/2019 Cbse Qp Dated 21-03-09



a)% %

% m e t m= $)

% %

%m e t m= c)

' '

%l e l t = d)

' '

% l e l t =

SECTION – C





&) A $% t!#" R $% *a%"+ ) A $% *a%" R $% t!#".

'4. Assertion (A)8 !n the e/periment of the -erification of <hms law, usin# -oltmeter0ammetermethod, an e/perimenter noted the readin#s of -oltmeter and the ammeter as %.+ and .6 A. Ge

should find the -olue of resistance upto ' si#nificant di#its.

:eason (:)8 :elia$ilit" in the computed -alue canot $e #reater than that of the measured -alues.

'+. Assertion (A) 8 !n α 0deca", the >inetic ener#" of the emitted α 0particle is ne-er equal to the

disinte#ration ener#" of the reaction.

:eason (:) 8 !n α 0deca", the dau#hter nucleus recoils as α 0particle is emitted to conser-e the

momentum.

'6. Assertion (A) 8 Two sources of same frequenc" $ut of different amplitudes. Also ha-e phasedifference $etween the wa-es is time independent. @hen the" superpose, o$ser-a$le interference is

o$tained

:eason(:) 8 The sources are not coherent due to unequal amplitudes

'3. Assertion (A) 8 !f the acceleratin# potential in an 20ra" tu$e is increased, the w-elen#ths of the

characteristic 20ra"s donot chan#e

:eason (:) 8 @hen an electron $eam stri>es the tar#et in an 20ra" tu$e, part of >inetic ener#" is

con-erted into 2 H ra".

SECTION – D


This section contains ' para#raphs. Based upon each para#raph, ' multiple choice questions ha-e to $e answered.Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

PASSAGE-I

!n "oun#s dou$le slit e/periment shown in the fi#ure, %% , 4l m l m µ µ = = li#ht of

wa-elen#th +,,nmλ = is incident on the slits separated $" a distance of d m µ = , a screen is

placed at a distance D ? % m awa" from the slits.5

5

5%

l

l% d

D

C

θ

8/10/2019 Cbse Qp Dated 21-03-09



'. The -alues of θ relati-e to the central line where ma/ima appears on the screen are #i-en $" ( n is

an inte#er)

a)

sin % 4

n− − ÷ $)

sin 4

n− − c)

sin %

6

n− − ÷ d)

sin 6

n− −

'*. Gow man" ma/ima can occur on the screen

a) 4 $) 6 c) ' d) %

4. @hat should $e minimum thic>ness of a sla$ of refracti-e inde/ .+ to $e placed in the path of one

of the ra" so that minima occurs at C

a) % nm $) nm c) 4 cm d) + nm

PASSAGE-II

1i#ht from a dischar#e tu$e containin# h"dro#en atoms falls on the surface of a piece

of sodium. The >inetic ener#" of the fastest photo electrons emitted from sodium is .3' e. Thewor> function for sodium is .% e.

4. The quantum num$ers of the two le-els in-ol-ed in the emission of these photons are

a) %%, 4n n= = $) %

4, %n n= = c) %, 'n n= = d) %

', n n= =

4%. The chan#e in the an#ular momentum of the h"dro#en atom in the a$o-e transition is

a) %π $) 4

π c) π d) '

π

4'. The recoil speed of the emittin# atom assumin# it to $e at rest $efore the transition.

a) .4 ms

− $) .4 ms− c) .4 ms

− d) 4 ms−

PASSAGE-III

!n the circuit shown, the internal resistance of the cell is ne#li#i$le.The distance of the oc>e" from left hand end of the wire is l. the adoinin# #raph shows the -ariation

of current ! with len#th l of the slide wise.

:

I 0

I 0

Cell

J

l

cm

6

8/10/2019 Cbse Qp Dated 21-03-09



44. ;or $alancin# condition of the instrument -alue of l ?

a) 4 cm $) % cm c) cm d) 6 cm

4+. The -alue of : ?

a) 'Ω $) 4 Ω c) 'Ω d) 4+Ω

46. The -alue of emf of the cell isa) .* $) .6 c) .% d) '

CHEMISTRY

SECTION – A


This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D), out of which


43. An impure sample of sodium o/alate ( )% % 4 !a C " wei#hin# .% # is dissol-ed in aqueous solution of

% 4 H #" and solution is titrated at 3 C, requirin# 4+m1 of .% 4

$Mn" solution. the point is

o-errun, and $ac> titration in carried out with ml of . o/alic acid solution. ;ind the K purit"

of % % 4 !a C " in simple8

a) 3+ $) '.3+ c) *.%+ d) Lone of these

4. To a ml, aqueous solution of % Br , e/cess of La<G is added so that all %

Br is disproportional

to Br 0 and ' Br" 0. the resultin# solution is free from Br 0 , $" e/traction and e/cess of <G 0

%

0%+

+4

i(in mA)

l ( in cm)

8/10/2019 Cbse Qp Dated 21-03-09


CODE : GANESH VSP-VR / 21-03-2009neutralised $" acidif"in# the solution. the resultin# solution is sufficient to react with % # of impure

( )% 4% &CaC " M % mol = sample. the K purit" of o/alate sample is 8

a) +.'K $) %.+K c) *K d) 64K4*. atch Ma -alues with suita$le acid 8

Ma Acid

) +'.' −×

%) +4.% −×

') +6.' −×

4) +6.4 −×

+) +'.6 −×

! !! !!! ! a) a $ c d e

$) d $ c e a

c) d $ a c ed) d c $ e a

+. !dentit" the correct statements(s)

! !! !!! !

a) ! N !! are antiaromatic $) !!! N ! are non0aromatic

c) !! alone is aromatic d) !! N ! are non0aromatic

+. henol N $en9oic acid, can $e separated $"a) LaGC<' $) La<G sol c) ;eCl' sol d) all of these

+%. atch list 0! with list H !! and select the correct answer usin# the codes #i-en $elow the lists8

1ist H ! 1ist H !!A) -an ar>el method ) anufacture of caustic soda

B) 5ol-a" process %) urification of titanium

C) Cupellation ') anufacture of % ' !a Co

D) polin# 4) :efinin# of sil-er

+) purification of Cu

C<<G

C<<Ge

C<<GCl

C<<Geo

C<<G<% L

8/10/2019 Cbse Qp Dated 21-03-09


CODE : GANESH VSP-VR / 21-03-2009Codes

A B C D

a) % ' 4

$) 4 ' % c) % ' 4 +

d) % ' 4

SECTION – B


This section contains 4 multiple correct answer(s) t"pe questions. Each question has 4 choices (A), (B), (C) and (D),

out of which ONE OR MORE is&are correct.

+'. @hich of the followin# are non0ideal solutions N form a9eot9opes

a) c"clohe9ane I c"cloheptane $) c"clohe/ane I CG'<G

c) CG'<G I C%G+<G d) C%G+<G IG%<

+4. @hich of the followin# statements is correct with reference to isoelectric point

a) The isoelectric point is the pG at which the aminoacid $ears no net char#e.

$) !t corresponds to pG at with the concentration of the 9witter ion is at a ma/imum

c) !t is the a-era#e of pMa N pMa% -alues

d) !soelectric point ma" ha-e pG %3 or close to 3 to F 3 dependin# on nature of amino acids

++. @hich of the followin# reacts with three moles of phen"l h"dra9ine to #i-en same osa9one

a) #lucose $) fructose c) mannose d) #alactose

+6. The E ⊕ will attac> which rin# in the followin# compounds N which is the rate of E5: in this

O

2 (A)

P

(B)

a) !n A, rin# 2 will ta>e part in electrophilic su$stitution reaction

$) !n A, rin# O will ta>e part in electophilic su$stitute an reaction (E5:)

c) !n B, rin# P will ta>e part in E5:

d) Compoind B is more reacti-e than compound A.

C

<

<

C

<

LG

8/10/2019 Cbse Qp Dated 21-03-09



SECTION – C





&) A $% t!#" R $% *a%"+ ) A $% *a%" R $% t!#".

+3. Assertion (A)8 An or#anic compound on dia9oti9ation followed $" reaction with al>aline solution of β 0 naphthol #i-es oran#e d"e.

:eason (:)8 An or#anic compound is aromatic amino compound which forms dia9onium salts N

under#o couplin# reaction to form a9o d"e.

+. Assertion (A)8 Ele-ation in B. will $e hi#h if the molar ele-ation constant of the liquid is hi#h

:eason (:)8 Ele-ation in B. is a colli#ati-e propert"

+*. Assertion (A)8 Ben9ene on heatin# with % 4concH #" #i-es $en9ene sulphoric acid (used in formin#

deter#ends) which when heated with super heated steam under pressure #i-es $en9ene.

:eason (:)8 5ulphonaton is a re-ersi$le process6. Assertion (A)8 :educin# su#ar #i-es $ric> red ppt. with fehlin#s solution N show

mutarotation

:eason (:)8 Durin# mutarotaton, one pure ananer is con-erted in to mi/ture of two

anamers

SECTION – D


This section contains ' para#raphs. Based upon each para#raph, ' multiple choice questions ha-e to $e answered.

Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

PASSAGE-I

500 1000 1500 2000

-150

-100

-50

-0

Hg+S HgS

% '

%

' ' B& # B& # + →

% % H # H # + →

%

% %C # C# + →

'b # 'b# + →

t,00C

, &G k( mol −∆

8/10/2019 Cbse Qp Dated 21-03-09



The Ellin#ham dia#ram for a num$er of metallic sulphides is shown $elow

6. formation of which of the sulphides is most spontaneous

a) G#5 $) Bi%5' c) $5 d) C5%

6%. which occurs to minimum e/tent in nature

a) G#5 $) G%5 c) Bi%5' d) C5%

6'. which of the followin# sulphides can not $e reduced to metal $" G% at a$out C

a) G#5 $) $5 c) Bi%5' d) all of these

PASSAGE-

<leum is considered as a solution of 5<' in G%5<4. which is o$tained $" passin# 5<'

in solution of G%5<4. when # sample of oleum is diluted with desired wei#ht of G%< then the total

mass of G%5<4 o$tained after dilution is >nown as K la$elin# in oleum.

;or e/ample, a oleum $ottle la$eled as *K G%5<4 means the * # total mass of pure G%5<4

will $e formed when # of oleum is diluted $" *# of G %< which com$ines with all the free 5< '

present in oleum to from G%5<4 as ' % % 4#" H " H #"+ → .

64. what is the K of free 5<' in an oleum that is la$eled as 4.+K G %5<4

a) $) % c) 4 d) none of these

6+. *.# water is added into oleum sample la$eled as Q% KR G%5<4 then the amount of free 5<'

remainin# in the solution isa) 4.*'l at 5T $) 3.461 at 5T c) '.'31 at 5T d) .%1 at 5T

66. if e/cess water is added into a $ottle sample la$eled as Q%K G%5<4R and is reacted with +.' #

La%C<', then find the -olume of C<% e-ol-ed at atm pressure and ' > temperature after the

completion of the reaction8

a) %.46 1 $) %4.6 1 c) .%' 1 d) %.' 1

PASSAGE-

A dilute solution contains t moles of solute 2 in ># of sol-ent with molal ele-ation

constant M$. The solute dimerises in the solution accordin# to the followin# equation. The de#ree of

association is α .

%% X X ƒ

63. the -ant hoff factor will $e (if we start with one mole of 2)

a) ( ) %& α = − $) %

& α

= − c) %

& α

= + d) & α = +

6. the de#ree of association is equal to

a) $b

)bα =

∆ $)

( )%

.

$bt )b

$b t α

− ∆=

8/10/2019 Cbse Qp Dated 21-03-09



c)%

%.

)b

$b t α

∆= + d) % .

)b $b t

α ∆=

6*. the mole cular wei#ht o$ser-ed will $e

a) #reater than actual molecular wt $) lesser than actual molecular wt

c) equal to the actual molecular wt d) cannot $e predicted $" the data #i-en

Pa("! S"tt"!: VSP-VR

MATHS S!$ G+ S N MR4HY 956912166

PHYSICS S!$ B S R MR4HY 956510

CHEMISTRY S!$ 7+ MOHANA RAO 991236388

cbse qp dated 21-03-09

Documents