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BCECE-2011MOCK TEST # 2

PHYSICS, CHEMISTRY & MATHEMATICS

Physics : Full SyllabusChemistry : Full SyllabusMathematics : Full Syllabus

Duration : 2 : 15 Hrs Max Marks : 600Name :________________________________________________________ Roll No. : ________________________

Corporate Office, CP Tower, Road No.1, IPIA, Kota (Rajasthan ) - 324 005Ph: 0744-3040000 (6 lines), Fax (0744) 3040050

email : [email protected] ; Website : www.careerpointgroup.com

Now, Schedule practice questions are available on internet also, Visit www.examtayari.com

SLInstructions to Candidates

GENERAL:1. This paper contains 150 Qs. in all. All questions are compulsory.2. There is Negative Marking. Guessing of answer is harmful.3. Write your Name & Roll No. in the space provided on this cover page of question paper.4. Do not break the seals of the question paper booklet before being instructed to do so by the

invigilator.5. The answer sheet, machine readable Optical Mark Recognition (OMR) is provided separately.6. Blank papers, Clipboards, Log tables, Slide Rule, Calculators, Cellular Phones, Pagers and

Electronic Gadgets in any form are not allowed to be carried inside the examination hall.

MARKING SCHEME:

1. Each Question has four options, only one option is correct. For each incorrect response, one-fourth ofthe weightage marks allotted to the question would be deducted.

2. In Physics : Q. 1 - 50 carry 4 marks each,In Chemistry : Q. 51 - 100 carry 4 marks each,In Mathematics : Q. 101 - 150 carry 4 marks each,

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Corporate Office:CPTower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 (6 line) Mock Test -BCECE Page # 2

Space for Rough Work (jQ+ dk;Z gsrq LFkku)

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PHYSICSQ.1 A thin circular ring of mass M and radius R is

rotating about its axis with a constant angular speed

. Two blocks, each of mass m are attached gentlyto the opposite ends of a diameter of the ring theangular speed of the ring will be -

(A)mM 2+

(B)mM

M

2+

(C)mM

mM

2

2

+

(D)mM

M

2

2

+

Q.2 A bullet (m1= 25g) fired with a velocity 400 m/sgets embedded into a bag of sand (m2 = 4.9 kg)suspended by a rope. The velocity gained by the

bag is nearly -

(A) 2 m/s (B) 4 m/s(C) 8 m/s (D) 0.2 m/s

Q.3 The work done to form a layer of soap solution ofsize 10 10 cm will be : (surface tension of soapsolution is 3 102N/m)(A) 6 102J (B) 6 104J(C) 3 102J (D) 3 104J

Q.4 A bomb of mass 9 kg at rest explodes into twopieces of mass 4 kg and 5 kg. The velocity of 4 kgmass is 15 m/s. What is the kinetic energy of 5 kg

mass ?(A) zero (B) 562.5 J(C) 360 J (D) 180 J

Q.5 A spring is vibrating with nfrequency under samemass. If it is cut into two equal pieces and samemass is suspended, then the new frequency will be -

(A) n 2 (B)2

n (C)

2

n (D) n

Q.6 The earth of mass 6 1024kg revolves around the

sun with an angular velocity of 2 10

7

rad/s. In acircular orbit of radius 1.5 108 km, the forceexerted by the sun, on the earth is -(A) 27 1039N (B) 36 1021N(C) 18 1025N (D) 6 1019N

Q.7 A ball of mass 150 g moving with an acceleration20 m/s2is hit by a force, which acts, on it for 0.1 s.The impulsive force is -(A) 1.2 N-s (B) 0.3 N-s(C) 0.1 N-s (D) 0.5 N-s

Q.1 M nzO;eku o R f=kT;k dh ,d iryh okkdkj oy;viuh v{k ds lkis{k fu;r dks.kh; pky ls ?kw.kZu

djrh gSaA nks CykWd] izR;sd m nzO;eku ds] dks oy;ds O;kl ds foijhr fljksa ij /khjs-ls j[kk tkrk gS] rksoy; dh dks.kh; pky gksxh-

(A)M

mM 2+ (B)

mM

M

2+

(C)mM

mM

2

2

+

(D)mM

M

2

2

+

Q.2 ,d xksyh (m1 = 25g) dks jLls }kjk yVds jsr }kjkyVds jsr (m2 = 4.9 kg) ls Hkjs ,d FkSysesa 400 m/sosx ls nkxk tkrk gS rFkk xksyh FkSys esa /kal tkrh gSA

FkSys }kjk izkIr osx gS-(A) 2 m/s (B) 4 m/s(C) 8 m/s (D) 0.2 m/s

Q.3 10 10 cm vkdkj dh lkcqu dsfoy;u dh ,d ijrcukus esa fd;k x;k dk;Z gksxk : (lkcqu ds foy;u dki"B ruko 3 102N/m gS)(A) 6 102J (B) 6 104J(C) 3 102J (D) 3 104J

Q.4 9 kg nzO;eku dk ,d ce 4 kg o 5 kg nzO;eku ds nks

VqdM+ksa esa VwVrk gSA 4 kg nzO;eku dk osx 15 m/s gSA

5 kg nzO;eku dh xfrt tkZ D;k gS?(A) 'kwU; (B) 562.5 J(C) 360 J (D) 180 J

Q.5 ,d fLizax leku nzO;eku ds v/khu nvko fk ls dEiUudjrh gSA ;fn fLizax dks nks leku Hkkxksaesa dkVk tk;srFkk leku nzO;eku yVdk;k tk;s] rks u;h vko fkgksxh-

(A) n 2 (B)2

n (C)

2

n (D) n

Q.6 6 1024 kg nzO;eku dh i Foh lw;Z ds pkjksa vksj

2 107

rad/s ds dks.kh; osx ls pDdj yxkrh gSA1.5 108 km f=kT;k dh o kh; d{kk esa] i Foh ij lw;Z}kjk vkjksfir cy gS-(A) 27 1039N (B) 36 1021N(C) 18 1025N (D) 6 1019N

Q.7 150 g nzO;eku dh ,d xsan 20 m/s2 Roj.k ls xfr

djrs gq;s ,d cy tks ml ij 0.1 s ds fy;s dk;Zjr

gS] ls Vdjkrh gSA vkosxh; cy gS-(A) 1.2 N-s (B) 0.3 N-s(C) 0.1 N-s (D) 0.5 N-s

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Q.8 A 30 g bullet initially travelling at 120 m/spenetrates 12 cm into wooden block. The averageresistance exerted by the wooden block is -(A) 1800 N (B) 2000 N

(C) 2200 N (D) 2850 N

Q.9 Two springs having force constants k each arearranged in parallel and in series. A mass M isattached to two arrangements separately. If time

period in first case is T1and in second case is T2,

then ratio2

1

T

Tis -

k k

k

k

(A) 1.5 (B) 3.2 (C) 0.5 (D) 2.1

Q.10 If the work done in blowing a bubble of volume Vis W, then the work done in blowing a soap bubbleof volume 2Vwill be -

(A) W (B) 2W (C) 2W (D) 41/3W

Q.11 A soap bubble in vacuum has a radius 3 cm andanother soap bubble in vacuum has radius 4 cm. Iftwo bubbles coalesce under isothermal condition,then the radius of the new bubble will be -(A) 7 cm (B) 5 cm(C) 4.5 cm (D) 2.3 cm

Q.12 A body is moving along a rough horizontal surfacewith an initial velocity 6 m/s. If the body comes torest after travellnig a distance 9m, then thecoefficient of sliding friction will be -(A) 0.4 (B) 0.2 (C) 0.6 (D) 0.8

Q.13 If the momentum of body is increased by 100 %,then the percentage increase in the kinetic energywill be -(A) 330 % (B) 225 %(C) 200 % (D) 300 %

Q.14 If torque is zero then :(A) angular momentum is conserved(B) linear momentum is conserved(C) energy is conserved(D) angular momentum is not conserved

Q.8 izkjEHk esa 120 m/s ls xfr'khy 30 g dh ,d xksyhydM+h ds CykWd ds vUnj 12 cm rd /klrh gSAydM+h ds CykWd }kjk yxk;k x;k vkSlr izfrjks/k gS-(A) 1800 N (B) 2000 N

(C) 2200 N (D) 2850 N

Q.9 izR;sdkcy fu;rkad okyh nks fLiazxksa dks lekUrj eesa rFkk Js.kh e esa O;ofLFkr fd;k x;k gSA ,dnzO;ekuM dks nks O;oLFkkvksa esa i Fkd :i ls tksM+kx;k gSaA ;fn igyh fLFkfr esa vkorZdky T1 gS rFkk

nwljh fLFkfr esa T2 gS] rks vuqikr2

1

T

TgS-

k k

k

k

(A) 1.5 (B) 3.2 (C) 0.5 (D) 2.1

Q.10 ;fn V vk;ru ds ,d cqycqys dks Qqykus esa fd;kx;k dk;Z W gS] rks lkcqu ds cqycqys dks 2V vk;rurd Qqykus esa fd;k x;k dk;Z gksxk-

(A) W (B) 2W (C) 2W (D) 41/3W

Q.11 lkcqu ds cqycqys dh fuokZr esa f=kT;k 3 cm rFkk nwljslkcqu ds cqycqys dh fuokZr esa f=kT;k 4 cm gSaA ;fnnks cqycqyksa dks lerkih; 'krZ ds v/khu la;qDr fd;ktkrk gS] rks u;s cqycqys dh f=kT;k gksxh-(A) 7 cm (B) 5 cm(C) 4.5 cm (D) 2.3 cm

Q.12 ,d fi.M ,d [kqjnjh {kSfrt lrg ds vuqfn'k6 m/s ds izkjfEHkd osx ls xfr'khy gSA ;fn fi.M 9mnwjh r; djus ds ckn fojke esa vk tkrk gS] rksfQlyu ?k"kZ.k xq.kkd gksxk-(A) 0.4 (B) 0.2 (C) 0.6 (D) 0.8

Q.13 ;fn fi.M dk laosx 100 % c

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Q.15 Dimensions of Planck's constant is -(A) [ML2T1] (B) [MLT2](C) [ML2T] (D) [ML1T2]

Q.16 The maximum velocity of a simple harmonicmotion represented by

y= 3 sin

+

6100t m ,

is given by

(A) 300 m/s (B)6

3m/s

(C) 100 m/s (D)6

m/s

Q.17 If linear density of a rod of length 3 m varies as

= 2 + x, then the position of the centre of gravityof the rod is -

(A)3

7m (B)

7

12m

(C)7

10m (D)

7

9m

Q.18 A polyatomic gas

=

3

4is compressed to

8

1of

its volume adiabatically. If its initial pressure is P0,its new pressure will be -(A) 8P0 (B) 16P0(C) 6P0 (D) 2P0

Q.19 Heat required to convert one gram of ice at 0C intosteam at 100C is (givenLsteam= 536 cal/gm)(A) 100 calorie (B) 0.01 kilocalorie(C) 716 calorie (D) 1kilocalorie

Q.20 A vessel contains 1 mole of O2gas (molar mass 32)at a temperature T. The pressure of the gas isP. Anidentical vessel containing one mole of He gas(molar mass 4) at temperature 2Thas a pressure of-

(A)P/8 (B)P (C) 2P (D) 8PQ.21 The amplitude of a wave represented by

displacement equation y =a

1sin t

b

1cos t

will be -

(A)ab

ba + (B)

ab

ba+

(C)ab

ba (D)

ab

ba +

Q.15 Iykd fu;rkad dh foek gS-(A) [ML2T1] (B) [MLT2](C) [ML2T] (D) [ML1T2]

Q.16 fuEu }kjk iznf'kZr ljy vkorZxfr

y= 3 sin

+

6100t m ,

dk vf/kdre osx fn;k tkrk gS

(A) 300 m/s (B)6

3m/s

(C) 100 m/s (D)6

m/s

Q.17 ;fn 3 m yEckbZ dh ,d NM+ dk js[kh; ?kuRo

= 2 + x ds vuqlkj ifjofrZr gksrk gS] rks NM+dsxq:Ro dsUnz dh fLFkfr gS-

(A)3

7m (B)

7

12m

(C)7

10m (D)

7

9m

Q.18 ,d cgqijekf.od xSl

=3

4dk vk;ru :)ks"e

ls laihfM+r dj ewy vk;ru dk8

1dj fn;k tkrk

gSaA ;fn xSl dk ewy nkc P0 gks] rks mldk u;k nkcgksxk-(A) 8P0 (B) 16P0(C) 6P0 (D) 2P0

Q.19 0C okyh ,dxzke cQZ dks 100C okyh Hkki esaifjofrZr djusds fy, vko';d "ek gksxh(Lsteam= 536 cal/gm)(A) 100 calorie (B) 0.01 kilocalorie(C) 716 calorie (D) 1kilocalorie

Q.20 fdlh ik=k esa 1 eksy O2xSl (vkf.od nzO;eku 32) Trkie rFkk P nkc ij gSA ,d vU; le:i ik=k esa1 eksy He xSl (vkf.od nzO;eku4) 2Trki ij gS] rksnkc gksxk-

(A)P/8 (B)P (C) 2P (D) 8P

Q.21 foLFkkiu lehdj.k y =a

1sin t

b

1cos t

}kjk iznf'kZr gS] rks rjax dk vk;ke gksxk-

(A)ab

ba + (B)

ab

ba+

(C)ab

ba (D)

ab

ba +

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Q.22 Equation of a progressive wave is given by

y= 4 sin

+

695

xt

Then which of the following is correct -

(A) v = 5 m/sec (B) = 18 m(C) a= 0.04 m (D) n= 50Hz

Q.23 The half-life of radioactive radon is 3.8 days. The

time at the end of which20

1th of the radon sample

will remain undecayed is (Given : log10e = 0.4343)(A) 13.8 days (B) 16.5 day(C) 33 days (D) 76 days

Q.24 The energy of a hydrogen atom in its ground stateis 13.6 eV. The energy of the level correspondingto the quantum number n= 5 is -(A) 0.54 eV (B) 5.40 eV(C) 0.85 eV (D) 2.72 eV

Q.25 For theLRcircuit shown in figure, the phase angle,

if frequency is 100/, is -0.25 H

L

5

R

(A) 30 (B) 60 (C) 45 (D) 90

Q.26 A gate has the following truth table.P Q R1 1 11 0 00 1 00 0 0

The gate is -(A) NOR (B) OR(C) NAND (D) AND

Q.27 5 104magnetic flux lines are passing through acoil of 1000 turns. If the emf induced through coilis 5V, the time interval will be -(A) 1s (B) 0.1s (C) 0.01 s (D) 0.001 s

Q.28 The distance between two point charges isincreased by 10 %. The force of interaction -(A) increases by 10 %(B) decreases by 10 %(C) decreases by 17 %(D) decreases by 21 %

Q.22 izxkeh rjax dk lehdj.k

y= 4 sin

+

695

xt

gSA fuEu esa ls dkSulk dFku lR; gS-(A) v = 5 m/sec (B) = 18 m(C) a= 0.04 m (D) n= 50Hz

Q.23 jsfM;kslf; jsMkWu dh v)Z-vk;q 3.8 fnu gSA le;

ftlds [kRe gksus ij jsMkWu uewus dk20

1v{kf;r jg

tk;sxk] gS (fn;k x;k gS: log10e = 0.4343)(A) 13.8 days (B) 16.5 day(C) 33 days (D) 76 days

Q.24 gkbMkstu ijek.kq dh ewy voLFkk esa tkZ

13.6 eV gksrh gSA n= 5 Dok.Ve la[;k ls lEcfU/krLrj dh tkZ gS-(A) 0.54 eV (B) 5.40 eV(C) 0.85 eV (D) 2.72 eV

Q.25 fp=k esa n'kkZ;s LR ifjiFk ds fy;s] dyk dks.k ;fn

vkofk 100/ gS, gS-0.25 H

L

5

R

(A) 30 (B) 60 (C) 45 (D) 90

Q.26 ,d xsV fuEu lR; lkj.kh j[krk gSP Q R1 1 11 0 00 1 00 0 0

xsV gS-(A) NOR (B) OR(C) NAND (D) AND

Q.27 5 104 pqEcdh; yDl js[kk,sa 1000 Qsjksadh ,ddq.Myh ls xqtjrh gSA ;fn dq.Myh ls izsfjr fo- ok-cy 5V gS, rks le; vUrjky gksxk-(A) 1s (B) 0.1s (C) 0.01 s (D) 0.001 s

Q.28 nks fcUnq vkos'kksads e/; nwjh 10 % c

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Q.29 The effective resistance between points A and B is -A R C 2R B

2RR

D

(A)R (B)3

R (C)

3

2R (D)

5

3R

Q.30 An electric dipole consists of two opposite charges,

each of magnitude 1.0 C separated by a distanceof 2.0 cm. The dipole is placed in an externalelectric field of 105N/C. The maximum torque onthe dipole is -(A) 0.2 103N-m (B) 1 103N-m(C) 2 103N-m (D) 4 103N-m

Q.31 The network shown in figure, is part of a completecircuit. If at a certain instant, the current I is 5 Aand is decreasing at a rate 103A/s, then (VB VA) is-

1

A15V

+5 mH

B

(A) 20 V (B) 15 V (C) 10 V (D) 5V

Q.32 An electric field

Eand magnetic field

B exist in aregion. If these field are not perpendicular to eachother, then the electromagnetic wave -(A) will not pass through the region(B) will pass through the region(C) may pass through the region(D) nothing is definite

Q.33 If the mass defect in the formation of helium fromhydrogen is 0.5 %, then the energy obtained inkWh, in forming helium from 1 kg of hydrogen,will be -(A) 1.25 (B) 125 104

(C) 1.25 108

(D) 1.25 106

Q.34 Two wires of the same material but of differentdiameters carry the same current I. If the ratio oftheir diameters is 2 : 1, then the corresponding ratioof their mean drift velocities will be -(A) 4 : 1 (B) 1 : 1 (C) 1 : 2 (D) 1 : 4

Q.35 A transformer has an efficiency of 80 %. It works at4 kW and 100 V. If secondary voltage is 240 V, thecurrent in primary coil is -(A) 0.4 A (B) 4A (C) 10 A (D) 40 A

Q.29 fcUnq A o B ds e/; rqY; izfrjks/k gS-

A R C 2R B

2RR

D

(A)R (B)3

R (C)

3

2R (D)

5

3R

Q.30 ,d fo|qr f}/kzqo] izR;sd 1.0 C ifjek.k ds nks

foijhr vkos'k tks 2.0 cm dh nwjh }kjk i Fkd gS]

j[krk gSA f}/kzqo dks 105 N/C ds ck fo|qr {ks=k esa

j[kk x;k gSA f}/kzqo ij vf/kdre cy vk?kw.kZ gS -(A) 0.2 103N-m (B) 1 103N-m(C) 2 103N-m (D) 4 103N-m

Q.31 fp=k esa n'kkZ;k usVodZ] ,d iw.kZ ifjiFk dk ,d HkkxgSA;fn ,d fuf'pr {k.k ij /kkjk I, 5 A gS rFkk /kkjk103A/s, nj ls ?kVrh gS] rc (VB VA) gS-

1

A15V

+5 mH

B

(A) 20 V (B) 15 V (C) 10 V (D) 5V

Q.32 ,d {ks=k esa ,d fo|qr {ks=k

E o pqEcdh; {ks=k

BmifLFkr gSA;fn ;s {ks=k ,d-nwljsds yEcor~ ugha gS]rks fo|qr pqEcdh; rjax -(A) {ks=k esa ugha xqtjsxh(B) {ks=k ls xqtjsxh(C) {ks=k ls xqtj ldrh gSa(D) dqN Hkh ifjfer ugha gS

Q.33 ;fn gkbMkstu ls ghfy;e ds cuus esa nzO;eku {kfr0.5 % gS] rks gkbMkstu ds 1 kg ls ghfy;e ds cuusesa kWh esa izkIr tkZ gksxh-(A) 1.25 (B) 125 104

(C) 1.25 10

8

(D) 1.25 10

6

Q.34 leku inkFkZ ysfdu fHkUu-fHkUu O;klksa ds nks rkjksa esaleku /kkjk I izokfgr gksrh gSA ;fn mudsO;klksa dkvuqikr 2 : 1 gS] rks muds ek/; viokg osxksa dksvuqikr gksxk-(A) 4 : 1 (B) 1 : 1 (C) 1 : 2 (D) 1 : 4

Q.35 ,d VkUlQkWeZj dh n{krk 80 % gSA og 4 kW o100 V ij dk;Z djrk gSA ;fn f}rh;d oksYVst240 V gS] rks izkFkfed dq.Myh esa /kkjk gS-(A) 0.4 A (B) 4A (C) 10 A (D) 40 A

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Q.36 A parallel plate condenser filled with two dielectricsas shown in figure. Area of each plate is A metre2

and the separation is d metre. The dielectricconstant are K1and K2respectively. Its capacitance(in farad) will be

d K1 K2

A/2 A/2

(A)d

A0 (K1+K2) (B)d

A0

+2

21 KK

(C)d

A0 2(K1+K2) (D)d

A0

221 KK

Q.37 In the circuit shown in the following figure, thepotential difference between pointsAandBwill be-

5 5

5

5 5

5

C B

AD

+

2V

(A) (8/9) V (B) (4/3)V(C) (2/3) V (D) 2V

Q.38 If 2.2 kW power is transmitted through a 10 lineat 22,000 V, the power loss in the form of heat will

be -(A) 0.1 W (B) 1 W (C) 10 W (D) 100 W

Q.39 The ratio of the frequencies of the long wavelengthlimits of the Lyman and Balmer series of hydrogenis -(A) 27 : 5 (B) 5 : 27(C) 4 : 1 (D) 1 : 4

Q.40 A photoemissive cell, with exciting wavelength ,the fastest electron has speed . If the exciting

wavelength is changed to4

3, the speed of the

fastest electron will be -

(A) 2

1

4

3

(B)

2

1

3

4

(C) less than 2

1

3

4

(D) greater than

2

1

3

4

Q.36 ,d lekUrj IysV la/kkfj=k dks nks ijkoS|qr lsfp=kkuqlkj Hkjk x;k gSaA izR;sd IysV dk {ks=kQy AehVj2 rFkk i FkDdj.k dehVj gSA ijkoS|qrkad e'k%K1o K2gSaA mldh /kkfjrk (QSjM esa) gksxh

d K1 K2

A/2 A/2

(A)d

A0 (K1+K2) (B)d

A0

+2

21 KK

(C)d

A0 2(K1+K2) (D)d

A0

2

21 KK

Q.37 fuEu fp=k esa n'kkZ;s ifjiFk esa] fcUnqvksa Ao Bds e/;foHkokUrj gksxk-

5 5

5

5 5

5

B

AD

+

2V

(A) (8/9) V (B) (4/3)V(C) (2/3) V (D) 2V

Q.38 ;fn 22,000 V ij 10 js[kk ls 2.2 kW 'kfDrLFkkukUrfjr gksrh gS] "ek ds :i esa 'kfDr gkfugksxh-(A) 0.1 W (B) 1 W (C) 10 W (D) 100 W

Q.39 gkbMkstu dh ykbeu o ckej Js.kh dh nh?kZkerjaxnS/;Z lhekvksa dh vko fk;ksa dk vuqikr gS-(A) 27 : 5 (B) 5 : 27(C) 4 : 1 (D) 1 : 4

Q.40 mRkstu rjaxnS/;Z okyk ,d izdk'k mRltZd lsy lsrhozre bysDVkWu pky j[krk gSA ;fn mkstu

rjaxnS/;Z4

3rd ifjofrZr dj nh tk;s] rks rhozre

bysDVkWu dh pky gksxh-

(A) 2

1

4

3

(B)

2

1

3

4

(C) 2

1

3

4

ls de (D)

2

1

3

4

ls T;knk

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Q.41 Three plates A, B, C each of area 50 cm2 haveseparation 3 mm between A and B and 3 mm

between B and C. The energy stored when theplates are fully charged is -

+A

B

C

(A) 2 J (B) 1.6 J(C) 5 J (D) 7 J

Q.42 The half-life period of a radioactive element is10 days. Then how long does it take for 90 % of agiven mass of this element to disintegrate ?(A) 19 days (B) 27 days

(C) 33 days (D) 37 daysQ.43 When a certain metallic surface is illuminated with

monochromatic light of wavelength , the stoppingpotential for photoelectric current is 3V0and whenthe same surface is illuminated with light ofwavelength 2, the stopping potential is V0. Thethreshold wavelength of this surface for

photoelectric effect is -

(A) 6 (B)3

4 (C) 4 (D) 8

Q.44 A wire of length L metre carrying a currentI ampere is bent in the form of a circle. Itsmagnitude of magnetic moment will be -(A)IL/4 (B)I2L2/4 (C)I2L/8 (D)IL2/8

Q.45 A coil of mean area 500 cm2and having 1000 turnsis held perpendicular to a uniform field of

0.4 gauss. The coil is turned through 180 in10

1s,

the emf induced is -(A) 4 V (B) 0.4 V (C) 4 mH (D) 0.04 V

Q.46 IfE is an electric field and

B is the magnetic

induction, then the energy flow per unit area perunit time in an electromagnetic field is given by -

(A)E

B (B)

E.

B

(C)E2+B2 (D)E/B

Q.47 The initial nucleus of a radioactive series is 92U239

and the final nucleus is 82Pb207. When uranium

decays to lead how many and particles areproduced ?(A) 6, 8 (B) 8, 6(C) 4, 3 (D) 3, 4

Q.41 izR;sd 50 cm2{ks=kQy okyh rhu IysVsa A, B, Cesa Ao B ds e/; iFkDdj.k 3 mm rFkk B o C ds e/;i FkDdj.k 3 mm gSaA lafpr tkZ tc IysVsa iw.kZr;kvkosf'kr gks tkrh gSa-

+A

B

C

(A) 2 J (B) 1.6 J(C) 5 J (D) 7 J

Q.42 ,d jsfM;ks lf; rRo dk v)Z-vk;qdky 10 fnu gSArc bl rRo ds fn;sx;s nzO;eku dk 90 % rd {k;gksus esa fdruk le; yxsxk?(A) 19 days (B) 27 days(C) 33 days (D) 37 days

Q.43 tc ,d fuf'pr /kkfRod lrg dks rjaxnS/;Z ds,do.khZ izdk'k ls iznhIr fd;k tkrk gS] rks izdk'kfo|qr /kkjk ds fy;s fujks/kh foHko 3V0 gS rFkk tcleku lrg dks 2 rjaxnS/;Zds iz dk'k lsiz nhIr fd;ktkrk gS] rks fujks /kh foHko V0 gksrk gSA izdk'k fo|qrizHkko dsfy;s bl lrg dh nsgyh rja xnS/;Z gS-

(A) 6 (B)3

4 (C) 4 (D) 8

Q.44 L yEckbZds ,d rkj dks ftlesa I /kkjk izokfgr gks

jgh gS] ,d ok ds :i esa ekssM+k x;k gSA mldspqEcdh; vk?kw.kZ dk ifjekk.k gksxk-(A)IL/4 (B)I2L2/4 (C)I2L/8(D)IL2/8

Q.45 500 cm2 ek/; {ks=kQy rFkk 1000 Qsjksa dh ,ddq.Myh 0.4 gauss ds ,dleku {ks=k esa yEcor~ fLFkr

gSA dq.Myh dks10

1s esa 180 ls ?kqek;k tkrk gS] rks

izsfjr fo- ok- cy gS-(A) 4 V (B) 0.4 V (C) 4 mH (D) 0.04 V

Q.46 ;fnE,d fo|qr {ks=k rFkk

B pqEcdh; izsj.k gS] rks

,d fo|qr pqEcdh; {ks=k esa izfr bdkbZ le; izfrbdkbZ {ks=kQy ls izokfgr tkZ nh tkrh gS-

(A)E

B (B)

E.

B

(C)E2+B2 (D)E/B

Q.47 ,d jsfM;kslf; Js.kh ds izkjfEHkd ukfHkd 92U239 gSrFkk vfUre ukfHkd 82Pb207 gSA tc ;wjsfu;e] ySM esa{kf;r gksrk gS] rks fdrus o d.k mRiUu gksrs gSa?

(A) 6, 8 (B) 8, 6

(C) 4, 3 (D) 3, 4

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Q.48 A resistor of 10 k having tolerance 10% is

connected in series with another resistor of 20 k

having tolerance 20%. The tolerance of the

combination will be -(A) 10% (B) 13% (C) 30% (D) 20%

Q.49 Assuming the sun to be a spherical body of radiusR at a temperature of T K, evaluate the total radiant

power, incident on the earth, at a distance r fromthe sun, is

(A)2

42

r

TR (B)

2

4220

r

TRr4

(C)2

4220

r

TRr (D)

2

4220

r4

TRr

Q.50 Nuclear forces are -

(A) attractive only

(B) repulsive only

(C) attractive or repulsive depends upon separation

(D) neither attractive nor repulsive

Q.48 10 kds ,d izfrjks/kd dks ftldh lrk 10% gS,

dks ,d nwljs 20 k ds izfrjks/kd ftldh lrk

20% gS, ds lkFk Js.khe esa tksM+k tkrk gSA la;kstu

dh lrk gks tk,xh -(A) 10% (B) 13% (C) 30% (D) 20%

Q.49 ekuk fd lw;Z R f=kT;k dk ,d xksyh; fi.M gStks

fd T K rki ij gSA lw;Z ls r nwjh ij] i Foh ij

vkifrr gksus okyh dqy fofdj.k 'kfDr gS&

(A)2

42

r

TR (B)

2

4220

r

TRr4

(C)2

4220

r

TRr (D)

2

4220

r4

TRr

Q.50 ukfHkdh; cy &(A) dsoy vkd"khZ gksrs gaS(B) dsoy izfrd"khZ gksrs gSa(C) vkd"khZ ;k izfrd"khZ i FkDdj.k ij fuHkZj djrk gS

(D) u rks vkd"khZ u gh izfrd"khZ

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Corporate Office:CPTower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 (6 Lines) Mock Test-BCECE Page # 9

CHEMISTRYQ.51 Which of the following sets of quantum numbers is

correct ?

(A) n= 4, l= 3, m= + 4,s= + 1/2(B) n= 3, l= 2, m= + 3,s= 1/2

(C) n= 2, l= 2, m= + 2,s= + 1/2

(D) n= 1, l= 0, m= 0,s= 1/2

Q.52 The energy of hydrogen atom in its ground state is13.6 eV. The energy of the level corresponding tothe quantum number n= 5 is

(A) 0.54 eV (B) 5.40 eV

(C) 0.85 eV (D) 2.72 eV

Q.53 The ratio of the radii of first orbits of H, He+ and

Li2+

is(A) 1 : 2 : 3 (B) 6 : 3 : 2

(C) 1 : 4 : 9 (D) 9 : 4 : 1

Q.54 Two liquidsAandBform an ideal solution. At 300 Kthe vapour pressure of a solution of 1 mole of Aand x mole ofBis 550 mm. If the vapour pressuresof pure A and B are 400 mm and 600 mmrespectively, thenxis

(A) 1 (B) 2

(C) 3 (D) 4

Q.55 The vapour pressure of pure water is 92.5 mm at300K. The vapour pressure of 1 molal solution ofXin water is

(A) 180 (B) 90.80

(C) 45.4

(D) unpredictable because molar mass is not given.

Q.56 If vap.H of pure water at 100C is 40.627 kJ mol1.

The value of vap. Sis

(A) 108.91 kJ mol1 (B) 108.91 JK1mol1

(C) 606.27 JK1mol1 (D) 808.27 JK1mol1

Q.57 What is the solubility ofAl(OH)3,Ksp= 1 1033, ina solution havingpH= 4.

(A) 103M (B) 106M

(C) 104M (D) 1010M

Q.58 IfKPfor a reaction,

A(g) + 2B(g) 3C(g) +D(g)

is 0.05 atm at 1000 K. ItsKcin terms ofRwill be

(A) 20000R (B) 0.02R

(C) 5 105R (D)R

105 5

Q.51 Dok.Ve l[;kvksa dk fuEu esa ls dkSulk lewg lgh gS?

(A) n= 4, l= 3, m= + 4,s= + 1/2

(B) n= 3, l= 2, m= + 3,s= 1/2

(C) n= 2, l= 2, m= + 2,s= + 1/2

(D) n= 1, l= 0, m= 0,s= 1/2

Q.52 vk|koLFkk esa gkbMkstu ijek.kqdh tkZ 13.6 eV gSADok.Ve la[;k n = 5 l lEcfU/kr Lrj dh tkZ gksrhgS(A) 0.54 eV (B) 5.40 eV

(C) 0.85 eV (D) 2.72 eV

Q.53 H, He+ rFkk Li2+ ds izFke d{kdks dh tkZvksa dk

vuqikr gS(A) 1 : 2 : 3 (B) 6 : 3 : 2

(C) 1 : 4 : 9 (D) 9 : 4 : 1

Q.54 nks nzo ArFkkB,d vkn'kZ foy;u cukrk gSA 300 K

ij A ds 1eksy rFkkB ds x eksy ds ,d foy;u dk

ok"inkc 550 mm gksrk gSA ;fn 'kq) A rFkkB ds

ok"inkc e'k% 400 mm rFkk600 mm gS] rks xgS-

(A) 1 (B) 2

(C) 3 (D) 4

Q.55 'kq) ty dk 300 Kij ok"inkc 92.5 mm gSA ty esaX ds 1 eksyy foy;u dk ok"inkc gksxk

(A) 180 (B) 90.80

(C) 45.4

(D) vKkruh; gS D;ksfd eksyj nzO;eku ugh fn;k x;k

Q.56 ;fn 'kq) ty dk 100C ij vap.H 40.627 kJ mol1

gS rks vap. S dk eku gksxkA(A) 108.91 kJ mol1 (B) 108.91 JK1mol1

(C) 606.27 JK1mol1 (D) 808.27 JK1mol1

Q.57 pH= 4 ds ,d foy;u esa Al(OH)3,Ksp= 1 1033

dhfoys;rk D;k gksxh(A) 103M (B) 106M

(C) 104M (D) 1010M

Q.58 ;fn ,d vfHkf;kA(g) + 2B(g) 3C(g) +D(g)

ds fy, 1000K ij Kp 0.05 atm gS rks R ds inksa esabldk Kcgksxk(A) 20000R (B) 0.02R

(C) 5 105R (D)R

105 5

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Q.59 When 1 mole ofN2and 1 mole ofH2is enclosed in5 L vessel and the reaction is allowed to attainequilibrium, it is found that at equilibrium there isxmole of H2. The number of moles of NH3 formedwould be

(A)3

2x (B) 2(1+x)/3

(C)3

)1(2 x (D)

2

)1( x

Q.60 In the following equation :

XOHClXHClO ,36 23 +++ + is

(A) O (B) 6e

(C) O2 (D) 5e

Q.61 A current of 2 ampere is passed for 5 hour through

a molten tin salt to deposit 22.2gm tin. Theoxidation state of tin in salt is :

(Given At. wt. Sn = 118.69 gm)

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

Q.62 The rate constant for the reaction,

2N2O5 2NO2+ O2, is 3.0 105sec 1

If the rate is 2.40 105 mol litre1, then theconcentration ofN2O5( in mol litre

1) is

(A) 1.4 (B) 1.2

(C) 0.04 (D) 0.8

Q.63 The reaction, 2A + B Products, follows themechanism

2A A2

A2+B Products (Slow)The order of the reaction is

(A) 2 (B) 1

(C) 3 (D)2

11

Q.64 75% of a first order reaction was completed in 32minutes. The half-life of the reaction is

(A) 24 min (B) 16 min(C) 32 min (D) 8 min.

Q.65 Activated charcoal is good adsorbent for(A) O2 (B)N2

(C)H2 (D) CH4

Q.66 -particle is emitted in a radio active reaction when(A) a proton changes to neutron

(B) a neutron changes to proton

(C) a neutron changes to neutron

(D) an electron changes to neutron.

Q.59 tc 5 L ik=k esa N2 dk 1 eksy rFkk H2 dk 1 eksyfy;k tkrk gS rFkk vfHkf;k lkE; ij fLFkj gksrh gSrks lkE; ij ;g ik;k x;k fd H2 ds x eksy gksrs gSAfufeZr NH3ds eksyks dh la[;k gksxhA

(A)3

2x (B) 2(1+x)/3

(C)3

)1(2 x (D)

2

)1( x

Q.60 fuEu vfHkf;k esaX gS

OHClXHClO 23 36 +++ +

(A) O (B) 6e

(C) O2 (D) 5e

Q.61 ,d xfyr fVu yo.k esals 2 ,Eih;j dh ,d fo|qr /kkjk

dks 5 ?k.Vsds fy, iz okfgr fd;k tk;stks 22.2gm fVuvo{ksfir gksrk gSA yo.k esa fVu dh vkW Dlhdj.kvoLFkk gS& : (fn;k x;k Sndk ijek.kq Hkkj = 118.69 gm)

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

Q.62 vfHkf;k 2N2O5 2NO2 + O2, dk osx

fLFkjkad3.0 105sec 1gSA ;fn osx 2.40 105gS rks

N2O5(mol litre1esa ) dh lkUnzrk gksxhA

(A) 1.4 (B) 1.2

(C) 0.04 (D) 0.8

Q.63 vfHkf;k 2A + B mRikn] fuEu f;kfof/k dkvuqlj.k djrh gSA

2A A2

A2+B mRikn (/khek)

vfHkf;k dh dksfV gksxh(A) 2 (B) 1

(C) 3 (D)2

11

Q.64 ,d izFke dksfV vfHkf;k 32 feuV esa 75% iw.kZ gksrhgSA vfHkf;k dh v)Zvk;q gS

(A) 24 min (B) 16 min(C) 32 min (D) 8 min.

Q.65 fuEu dsfy, lf;r pkjdks y vPNk vo'kks"kd gksrk gS(A) O2 (B)N2

(C)H2 (D) CH4

Q.66 ,d jsfM;ks lf; esa -d.k mRlftZr gksrs gS tc

(A) ,d izksVkWu dk U;wVkWu esa ifjorZu gksrk gSA(B) ,d U;wVkWu dk izksVksu esa ifjorZu gksrk gSA(C) ,d U;qVkWu dk U;wVWku esa ifjorZu gksrk gSA(D) ,d bysDVWku dk U;wVWku esa ifjorZu gksrk gS

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Q.74 Clemmensens reduction of ketones is carried outin

(A)LiAlH4inH2O (B) glycol andKOH

(C)Zn-HgandHCl (D) H2andPd catalyst

Q.75 A fruity smell is obtained by the reaction of ethanolwith

(A) CH3COCH3 (B)PCl5

(C) CH3COOH (D) CH3CHO

Q.76 Bakelite is prepared by the reaction between

(A) phenol and formaldehyde

(B) urea and formaldehyde

(C) ethylene and glycol

(D) tetramethylene and glycol

Q.77 IUPACname for isobutyl

(A) 2- methylethyl

(B) 1, 1- dimethylethyl

(C) 2-methylpropyl

(D) 1-methylpropyl

Q.78 The correct statement about the compoundA, B, C.

H

H

OH

OH

COOH

COOCH3

(A)

H

H

OH

OH

COOH

COOCH3

(B)

H

OH

OH

H

COOCH3

COOH

(C)

is :

(A)AandBare indentical

(B)AandBare diastereomers

(C)Aand Care enantiomers

(D)AandBenantiomers

Q.79 Which of the following alkanes has the lowestmelting point ?

(A) n-butane (B) n-pentane

(C) Propane (D) n-hexane

Q.74 dhVksu dk DysesUlu vip;u fuEu dh mifLFkfr esalEiUu gksrk gS-

(A)H2Oesa LiAlH4 (B) Xykbdksy rFkkKOH

(C)Zn-HgrFkkHCl (D) H2rFkkPdmRiszjdQ.75 ,FksukWy dh fuEu ds lkFk vfHkf;k }kjk ,d Qyh;

xSl izkIr gksrh gS -(A) CH3COCH3 (B)PCl5

(C) CH3COOH (D) CH3CHO

Q.76 fuEu ds e/; vfHkf;k }kjk csdsykbV curk gS -

(A) fQukWy rFkk QkWesZfYMgkbM

(B) ;wfj;k rFkk QkesZfYMgkbM

(C) ,Fkhfyu rFkk XykbdkWy

(D) VsVkesFkhfyu rFkk XykbZdkWyQ.77 vkblksC;wfVy dk IUPACuke gS

(A) 2- esfFky,fFky

(B) 1, 1- MkbesfFky ,fFky

(C) 2-esfFky iz ksfiy

(D) 1-es fFky izksfiy

Q.78 ;kSfxd A, B, Cds fy, lgh dFku gS

H

H

OH

OH

COOH

COOCH3

(A)

H

H

OH

OH

COOH

COOCH3

(B)

H

OH

OH

H

COOCH3

COOH

(C) (A)AoBleku gS

(B)AoBfoofje leko;oh gSA

(C)AoCizfrfcEc #ileko;oh gS

(D)AoBizfrfcEc #ileko;oh gS

Q.79 fuEu esals fdl ,Yds u dk xyukad U;wure gS]

(A) n-C;wVsu (B) n-is UVsu

(C)iz ksisu (D) n-gsS Dlsu

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Q.80 Fool's gold is -

(A) CuFeS2 (B)FeS2

(C) CuS2 (D) Cu2O

Q.81 Sulphide ores are generally concentrated by -

(A) froth floatation method

(B) roasting

(C) magnetic separation

(D) carbon reduction

Q.82 Bronze is an alloy of -(A)Pb+ Sn+Zn (B) Cu+ Sn(C)Pb+Zn (D) Cu+Zn

Q.83 The method of zone refining of metal is based on

the principle of -

(A) greater solubility of the impurity in the molten

state than in the solid(B) greater mobility of the pure metal than that of

the impurity

(C) higher melting point of the impurity than that of

the pure metal

(D) greater noble character of the solid metal than

that of the impurity

Q.84 Among the halogens, the one which is oxidised by

nitric acid is -

(A) Fluorine (B) Iodine

(C) Chlorine (D) Bromine

Q.85 The correct order of the thermal stability ofhydrogen halides (HX) is -(A)HClHCl>HF(D)HF>HCl>HBr>HI

Q.86 Which metal gives hydrogen gas on heating withhot concentrated alkali ?

(A)Ag (B)Ni (C)Zn (D)Cu

Q.87 When calomel reacts with NH4OH solution thecompound formed is

(A)NH2HgCl (B)Hg2Cl2NH3

(C)Hg(NH3)2Cl2 (D)HgCl2NH3

Q.88 Number of unpaired electrons inNi2+ is

(A) 4 (B) 2 (C) 6 (D) 8

Q.89 Which is most basic in character ?

(A) CsOH (B)KOH

(C)NaOH (D)LiOH

Q.80 eq[kksZdk lks uk gS(A) CuFeS2 (B)FeS2(C) CuS2 (D) Cu2O

Q.81 lYQkbM v;Ld lkekU;r;k lkfUnzr gksrs gS(A) >kx Iyou fof/k }kjk(B) HktZu }kjk(C) pqEcdh; iFkDdj.k }kjk(D) dkcZu vip;u }kjk

Q.82 czkt (ihry)fuEu dh ,d feJ/kkrq gS (A)Pb+ Sn+Zn (B) Cu+ Sn(C)Pb+Zn (D) Cu+Zn

Q.83 /kkrq dh {ks=k ifj"dj.k fof/k fuEu fl)kUr ij vk/kkfjrgS& (A) xfyr voLFkk esav'kq f) dh foys;rk Bksl dh vis{kk

vf/kd gksrh gS(B) 'kq) /kkrq dh xfr'khyrk v'kq) /kkrqls vf/kd gks rh

gS(C) v'kq) /kkrq dk xyukad 'kq) /kkrq dh vis{kk mPp

gksrk gS(D) Bksl /kkrqds vf; xq .k v'kqf) dh vis{kk vf/kd

gksrsgS

Q.84 gsykstuks esa ls dkS ulk ,d ukbfVd vEy }kjkvkWDlhdr gksrk gS(A) yksjhu (B) vk;ksMhu

(C) Dyksjhu (D) czksehuQ.85 gkbMkstu gSyksbMks (H X) ds rkih; LFkkf;Ro dk lgh

e gS -(A)HClHCl>HF(D)HF>HCl>HBr>HI

Q.86 dkSulh /kkrq xeZ lkfUnz r {kkj ds lkFk xeZ djus ijgkbMkstu xSl nsrh gSA(A)Ag (B)Ni (C)Zn (D)Cu

Q.87 tc dsyksey] NH4OH foy;u ds lkFk f;k djrk gS];kSfxd curk gSA(A)NH2HgCl (B)Hg2Cl2NH3

(C)Hg(NH3)2Cl2 (D)HgCl2NH3

Q.88 Ni2+ esav;q fXer bysDVkWuksdh la[;k gS A(A) 4 (B) 2 (C) 6 (D) 8

Q.89 fdlesa vf/kd {kkjh; xq.k gksrk gSA(A) CsOH (B)KOH

(C)NaOH (D)LiOH

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Q.90 Which has minimum density ?

(A) Na (B) K

(C) Rb

(D) All have equal density

Q.91 The ortho and para hydrogens differ in respect ofwhich of the following ?

(A) In the molecular weight

(B) In the nature of spin of protons

(C) In the nature of spin of electrons

(D) In the number of protons

Q.92 Which of the following has SS bond ?(A)H2S2O6 (B) H2S2O7(C) H2S2O8 (D) Mustard gas

Q.93 Producer gas is a mixture of -

(A) COandN2 (B) CO2andH2

(C)N2and O2 (D) CH4andN2

Q.94 Which of the following is plaster of Paris ?

(A) CaSO4. 2H2O (B) (CuSO4)2.2

1H2O

(C) (CaSO4)2.H2O (D) CaSO4

Q.95 The metal that dissolved in liquid ammonia to givea blue colour is -(A) Sn (B)Pb (C)Zn (D)Na

Q.96 Which is the correct order electronegativity ?(A)F>N< O> C (B)F>N> O> C(C)F>N> O< C (D)FN< O> C (B)F>N> O> C(C)F>N> O< C (D)F

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Q.108 If ||a = 4, ||

b = 4 and ||

c = 5 are such that

a

b +

c ,

b

c +

a and

c

+ba , then

|

+ba +

c | is -

(A) 7 (B) 5 (C) 13 (D) 57

Q.109 Leta ,

b

c be unit vector such that

a .

b = 0 =

a .

c . If the angle between

b and

c

is6

, then

a equals

(A) 2 (b

c ) (B) 2 (

b

c )

(C) 21 (

b

c ) (D) 21 (

cb )

Q.110 The vectors xr

and yr

satisfy the equations

pyx rrr

=+2 and qyx rrr

=+ 2 , where jip +=r

and

jiq =r

. If is the angle between xr

and yr

. Then

(A)5

4cos = (B)

2

1sin =

(C)5

4cos = (D)

5

3cos =

Q.111 The equation of the plane perpendicular to the line

2

1

1

2

1

1 +=

= zyx

and passing through the point

(2, 3, 1) is -

(A) 1)2.( =++ kjirr

(B) 1)2.( =+ kjirr

(C) 7)2.( =+ kjirr

(D) None of these

Q.112 A line passes through two points A(2, 3, 1) and

B(8, 1, 2). The coordinates of a point on this line

at a distance of 14 units from A are -(A) (14, 1, 5) (B) (10, 7, 7)

(C) (8, 25, 4) (D) None of these

Q.113 The solution of 042)1( 22 =++ xxydx

dyx is -

(A) cyyx +=+ 32 4)1(3 (B) cxxy +=+ 32 4)1(3

(C) cyyx += 32 4)1(3 (D) cxyy +=+ 32 4)1(3

Q.108 ;fn ||a = 4, ||

b = 4 rFkk ||

c = 5 bl izdkj gS fd

a

b +

c ,

b

c +

a ,oa

c

+ba , rc

| +ba + c | cjkcj gS -

(A) 7 (B) 5 (C) 13 (D) 57

Q.109 ekuka ,

b

c bdkbZ lfn'k bl izdkj gSfd

a .

b = 0 =

a .

c gSA ;fn

b o

c ds e/; dks.k

6

gS] rc

a cjkcj gS-

(A) 2 (b

c ) (B) 2 (

b

c )

(C) 21 ( b c ) (D)

21 ( cb )

Q.110 lfn'k xr

,oa yr

lehdj.kksa pyx rrr

=+2 rFkk

qyx rrr

=+ 2 , tgk jip +=r

,oa jiq =r

, dks lUrq"V

djrsgSA ;fn xr

,oa yr

ds e/; dks.k gS] rc -

(A)5

4cos = (B)

2

1sin =

(C)5

4cos = (D)

5

3cos =

Q.111 js[kk2

1

1

2

1

1 +=

= zyx

ds yEcor~ rFkk fcUnq

(2, 3, 1) ls xqtjus okys lery dk lehdj.k gS -

(A) 1)2.( =++ kjirr

(B) 1)2.( =+ kjirr

(C) 7)2.( =+ kjirr

(D) buesa ls dksbZ ugha

Q.112 ,d js[kk] nks fcUnqvksa A(2, 3, 1) ,oaB(8, 1, 2) ls

xqtjrh gSaA bl js[kk ij fcUnq A ls 14bdkbZ nwjh ij

fLFkr fcUnq ds funZs'kkad gS -

(A) (14, 1, 5) (B) (10, 7, 7)

(C) (8, 25, 4) (D) bueas ls dksbZ ugha

Q.113 042)1( 22 =++ xxydx

dyx dk gy gS-

(A) cyyx +=+ 32 4)1(3 (B) cxxy +=+ 32 4)1(3

(C) cyyx += 32 4)1(3 (D) cxyy +=+ 32 4)1(3

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Q.114 + 22

)( bxa

dxxis equal to -

(A) cbxab

abxa

b

ax

b+

+++

1)log(

21 2

2

(B) cbxab

abxa

b

ax

b+

+

++1

)log(21 2

2

(C) cbxab

aabx

b

ax

b+

++++

1.)log(

21 2

2

(D) cbxab

abxa

b

a

b

ax

b+

+

++1

)log(21 2

2

Q.115 +a

xadxx

0

422

4

)(is equal to -

(A)

3

1

416

13a

(B)

+

3

1

416

13a

(C)

3

1

416

1 3a (D)

+

3

1

416

3a

Q.116 If +

=y

duu

x

0291

1then

2

2

dx

ydis equal to -

(A))91(

12y+

(B) )91(91 2y+

(C) 9y (D) None of these

Q.117 The curve C1:y= 1 cosx,x (0, ) and

axyC += ||2

3:2 will touch each other if a=

(A)32

3 (B)

322

3

(C)

32

1 (D) None of these

Q.118 Let f and g be increasing and decreasing function

respectively from [0, ) to [0, ) & )}({)( xgfxh = .

If ,0)0( =h then h(x) h(1) is -

(A) always 0 (B) always positive

(C) always negative (D) none of these

Q.114 + 22

)( bxa

dxxcjkcj gS-

(A) cbxab

abxa

b

ax

b+

+++

1)log(

21 2

2

(B) cbxab

abxa

b

ax

b+

+

++1

)log(21 2

2

(C) cbxab

aabx

b

ax

b+

++++

1.)log(

21 2

2

(D) cbxab

abxa

b

a

b

ax

b+

+

++1

)log(21 2

2

Q.115 +a

xadxx

0

422

4

)(cjkcj gS-

(A)

3

1

416

13a

(B)

+

3

1

416

13a

(C)

3

1

416

1 3a (D)

+

3

1

416

3a

Q.116 ;fn +

=y

duu

x

0291

1rc

2

2

dx

ydcjkcj gS-

(A))91(

12y+

(B) )91(91 2y+

(C) 9y (D) buesa ls dksbZ ugha

Q.117 oC1:y= 1 cosx,x (0, ) rFkk

axyC += ||2

3:2 ,d nwljs dks Li'kZ djsaxs ;fna =

(A)32

3 (B)

322

3

(C) 32

1 (D) buesa ls dksbZ ugha

Q.118 ekukf,oagvUrjky[0, ) ls[0, ) esa e'k% o/kZeku

,oa kleku Qyu gS rFkk )}({)( xgfxh = ,

;fn ,0)0( =h rch(x) h(1) gS-

(A) ges'kk0 (B) ges'kk /kukRed

(C) ges'kk _.kkRed (D) buesa ls dksbZ ugha

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Q.119 Values ofxat which

+= 20,2cossin2)( xxxxf attains its

maximum are -

(A) 2

3,6

(B) 2,6

5

(C)6

5,

6

(D) None of these

Q.120 +

7

6 log6)1log(

x

xxdx=

(A) cxx +++ )1log()1(6

1 66

(B) cx ++ )1(6

1 6

(C) cxx +++ )}1log(1){1(61 66

(D) None of these

Q.121 =+ dxxxxe x )2sinsec( 2tan (A) cxxe x ++ )sec( 2tan (B) cxxe x + )sec( 2tan

(C) )sinsec(tan xxxe x + (D) None of these

Q.122

=

+

+

+0

3

3cos 5

5log

71dx

x

xdx

x

(A) 0 (B)

(C)2

(D) None of these

Q.123 Area bounded by the curves 24yx = and

251 yx = is -

(A)4

3 (B)

3

4 (C) 4 (D) 3

Q.124 Solution of the differential equation

432 2 ++=

xx

x

y

dx

dyis -

(A) cxxxxxy +++= log43 23

(B) cxxxy +++= log432

(C) cxxxy +++= log43 23

(D) None of these

Q.119 x dseku ftu ij += 20,2cossin2)( xxxxf

bldk mfPp"B eku xzg.k djrk gS] gS-

(A)

2

3,

6

(B)

2

,

6

5

(C)6

5,

6


Q.120 +

7

6 log6)1log(

x

xxdx=

(A) cxx +++ )1log()1(6

1 66

(B) cx ++ )1(6

1 6

(C) cxx +++

)}1log(1){1(6

1 66


Q.121 =+ dxxxxe x )2sinsec( 2tan (A) cxxe x ++ )sec( 2tan (B) cxxe x + )sec( 2tan

(C) )sinsec(tan xxxe x + (D) buesa ls dksbZ ugha

Q.122

=

+

+

+0

3

3

cos

5

5log

71

dxx

xdxx

(A) 0 (B)

(C)2


Q.123 o 24yx = ,oa 251 yx = ls ifjc) {ks=kQy gS-

(A)4

3 (B)

3

4 (C) 4 (D) 3

Q.124 vody lehdj.k 432 2 ++=xxxydxdy dk gy gS

(A) cxxxxxy +++= log43 23

(B) cxxxy +++= log432

(C) cxxxy +++= log43 23


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Q.125 Range of )543(log)( 2 += xxxf e is -

(A)

,

3

11loge (B)

,

3

11loge

(C) (1, ) (D) None of these

Q.126 The domain of

x

xxxxf

2

1sin)1()][cos(sin)(

211 +++= =

(A) R {1} (B) {1, 1}

(C) (1, ) (D) None of these

Q.127 Let the rthterm, trof a series is given by

42

1 rr

rtr

++

= . Then =

n

r

rn

t

1

lim is -

(A)4

1 (B) 1

(C)2

1 (D) None of these

Q.128 If z= x + iysatisfies amp (z 1) = amp (z + 3i),

then the value of (x 1) :yis equal to -

(A) 2 : 1 (B) 1 : 3

(C) 1 : 3 (D) none of these

Q.129 If 01||2

4||2||log2

22/1 1 (D) |z| < 2

Q.130 If in an A.P., Sn = pn2 and Sm = pm

2, where Srdenotes the sum of r terms of the A.P., the Sp is

equal to -

(A) 32

1p (B) mnp

(C) p3

(D) (m + n)p2

Q.131 If2

0

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Q.133 The set of values of p for which the roots of the

equation 3x2 + 2x + p (p 1) = 0 are of opposite

sign, is -

(A) ( , 0) (B) (0, 1)

(C) (1, ) (D) (0, )

Q.134 The number of ways in which the letters of the

word "VOWEL"can be arranged so that the letters

O, Eoccupy only even places is -

(A) 12 (B) 18

(C) 24 (D) None of these

Q.135 The last term in the binomial expansion ofn

2

123 is

8log

3

3

9.3

1

. Then the 5th term

from the beginning is -

(A) 10C6 (B) 2.10C4

(C)2

1.10C4 (D) None of these

Q.136 The coefficient of xn in the binomial expansion of

(1 x)2is -

(A)!2

2n (B) n+ 1 (C) n (D) 2n

Q.137 If

0cossin

cossinsincossinsincoscos

)( 2

2

=f ,

then for all ,

(A) f() = 1 (B)f() = 2

(C) f() = 3 (D) None of these

Q.138 If the matricesA, B, (A + B) are non-singular, then

[A(A + B)1B]1, is equal to -

(A) A + B (B)A1+B1

(C) A(A+B)

1

(D) none of these

Q.139 It has been found that if A and B play a game 12times. A wins 6 times, B wins 4 times and theydraw twice. A and B take part in a series of 3games. The probability that they will winalternately, is -

(A)72

5 (B)

36

5

(C)27

19 (D) None of these

Q.133 p ds ekuksa dk leqPp; ftlds fy, lehdj.k

3x2 + 2x + p (p 1) = 0 ds ewy foijhr fpUg ds gS]

gS-

(A) ( , 0) (B) (0, 1)(C) (1, ) (D) (0, )

Q.134 mu rjhdksa dh la[;k ftuesa 'kCn "VOWEL"dsv{kjksadks O;ofLFkr djus ij v{kj O, E dsoy le LFkkuksaij gh vk;s] gS-(A) 12 (B) 18

(C) 24 (D) buesa ls dksbZ ugha

Q.135

n

2

123 dsf}in iz lkj esavfUre in

8log

3

3

9.3

1

gS] rc izkjEHk ls 5ok in gS-

(A) 10C6 (B) 2.10C4

(C)2

1.10C4 (D) buesa ls dksbZ ugha

Q.136 (1 x)2ds f}in izlkj esa xndk xq.kkad gS-

(A)!2

2n (B) n+ 1 (C) n (D) 2n

Q.137 ;fn0cossin

cossinsincossinsincoscos

)( 2

2

=f ,

rc lHkh ds fy,

(A) f() = 1 (B)f() = 2

(C) f() = 3 (D) buesa ls dksbZ ugha

Q.138 ;fn eSfVDl A, B, (A + B) O;qRe.kh; gS] rc[A(A + B)1B]1, cjkcj gS-(A) A + B (B)A1+B1

(C) A(A+B)1


Q.139 ;g ik;k tkrk gS fd ;fn A ,oa B ,d xse 12 ckj[ksyrs gS rc A, 6 ckj thrrk gS oB, 4 ckj thrrk gSrFkk nks ckj Mk gksrk gSA A ,oa B, 3 eSpksa dh ,dlhfjt esa Hkkx ysrs gSA muds ,dkUrj e esa thrusdh izkf;drk gS-

(A)72

5 (B)

36

5

(C)27

19 (D) buesa ls dksbZ ugha

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Q.140 If a, b, care in AP. then a3+ c3 8b3is equal to

(A) 2abc (B) 6abc

(C) 4abc (D) None of these

Q.141 Find the values of x for whichx45

1

+can be

expanded by binomial theorem -

(A)4

3

4

5

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Q.147 On one bank of river there is a tree. On another

bank, an observer makes an angle of elevation of

60 at the top of the tree. The angle of elevation of

the top of the tree at a distance 20 m away from the

bank is 30. The width of the river is -(A) 20 m (B) 10 m (C) 5 m (D) 1 m

Q.148 The value of

sin 600 cos 330 + cos 120 sin 150 is -

(A) 1 (B) 1 (C)2

3 (D)

2

1

Q.149 The value of the expression

sin6+ cos6+ 3 sin2cos2equals -

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

Q.150 If ,,2

=+

=+ then value of tan equals -

(A) tan + tan (B) 2 (tan + tan )

(C) tan + 2 tan (D) 2 tan + tan

Q.147 unh ds ,d fdukjsij ,d o {k fLFkr gSaA nwljs fdukjs

ij fLFkr ,d izs{kd o {k ds f'k[kj dk mUu;u dks.k

60 ikrk gSA fdukjs ls 20 m nwjh ls o {k ds f'k[kj dk

mUu;u dks.k 30 gSA unh dh pkSM+kbZ gS -(A) 20 m (B) 10 m (C) 5 m (D) 1 m

Q.148 sin 600 cos 330 + cos 120 sin 150 dk eku gS &

(A) 1 (B) 1 (C)2

3 (D)

2

1

Q.149 O;atd sin6+ cos6+ 3 sin2cos2dk eku gS -

(A) 0 (B) 2

(C) > 3 (D) 1

Q.150 ;fn ,,2

=+

=+ rc tan cjkcj gS -

(A) tan + tan (B) 2 (tan + tan )

(C) tan + 2 tan (D) 2 tan + tan

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Space for Rough Work (jQ+ dk;Z gsrq LFkku)

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HkkSfrdfoKku : Full Syllabusjlk;ufoKku : Full Syllabusxf.kr : Full Syllabus

Duration : 2 : 15 Hrs Max Marks : 600fuEu funsZ'kksa dks/;kuiwoZd if

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2 Bcece Pcm