7/26/2019 2703 AIOt Paper http://slidepdf.com/reader/full/2703-aiot-paper 1/32 Test Type : ALL INDIA OPEN TEST Test Pattern : JEE-Main TEST DATE : 27 - 03 - 2016 TARGET : JEE (MAIN) 2016 LEADER & ENTHUSIAST COURSE Paper Code : 0000CT103115005 Form Number : CLASSROOM CONTACT PROGRAMME (Academic Session : 2015 - 2016) H I N D I Corporate Office : CAREER INSTITUTE, “SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005 +91-744-5156100 [email protected]www.allen.ac.in our Target is to secure Good Rank in JEE (Main) 2016 Important Instructions Do not open this Test Booklet until you are asked to do so. 1. Immediately fill in the form number on this page of the Test Booklet with Blue/Black Ball Point Pen. Use of pencil is strictly prohibited . 2. The candidates should not write their Form Number anywhere else (except in the specified space) on the Test Booklet/Answer Sheet. 3. The test is of 3 hours duration. 4. The Test Booklet consists of 90 questions. The maximum marks are 360. 5. There are three parts in the question paper A,B,C consisting of Physics, Chemistry and Mathematics having 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct response. 6. One Fourth mark will be deducted for indicated incorrect response of each question. No deduction from the total score will be made if no response is indicated for an item in the Answer Sheet. 7. Use Blue/Black Ball Point Pen only for writting particulars/ marking responses on Side–1 and Side–2 of the Answer Sheet. Use of pencil is strictly prohibited. 8. No candidate is allowed to carry any textual material, printed or written, bits of papers, mobile phone any electronic device etc, except the Identity Card inside the examination hall/room. 9. Rough work is to be done on the space provided for this purpose in the Test Booklet only. 10. On completion of the test, the candidate must hand over the Answer Sheet to the invigilator on duty in the Room/Hall. However, the candidate are allowed to take away this Test Booklet with them. 11. Do not fold or make any stray marks on the Answer Sheet. e g o i . u n ' bl i { i r d d r c r d u [ y tc r d d g u t ,A 1. i jh { k k i q f L r d k d s b li ` " B i j v k o' ; d f ooj. k uh y s @dky s ck W y ik i s u l s r R d k y H k j s a A i sfUly dk i z ; k s x fcY d q y oft Z r g S aA 2. i jh { k k F k h Z v i u k Q k eZ u a - ( f u/ k k Z f jr tx g d s v f r f j‰ ) i jh @ m Ÿ k j i = i j d g h a v k S j u f y [ k s a A 3. i jh { k k d h v of/ k 3 V g S A 4. b l i jh { k k i q f L r d k e s a 90 i z ' u g a S A v f/ k d r e v a d 360 g S a A 5. b l i jh { k k i q f L r d k e s a r h u H k k x A, B, C g S a ] f tld s i z R ; s d H k k x r d o K u ] l; u o K u , oa x . r d s 30i ' u g S a v k S j lH k h i z ' u d s v a d lek u g S a A i z R ; s d i z ' u d s lg m Ÿ k j d s f y , 4 ( p k j)v a d f uË k k Z f j r f d ; s x; s g S a A 6. i z R ; s d x y r m Ÿ k j d s f y , m li z ' u d s d q y v a d d k , d p b v d d k V k t k ; s x k A m Ÿ k j i q f L r d k e s a d k s b Z H k h m Ÿ k j u g h a e s a l s Ω . e d v du u g h a g k s x kA 7. m Ÿ k j i = d s i B &1 , oa i B &2 i j ok a f N r f ooj. k , oa m Ÿ k j v a f d r d ju s g s r q d s oy u y d y c y i b V i u d k g h i z ; k s x d j s a A i ly d i ; x lo o t r g A 8. i jh { k k F k h Z } k jk i jh{ k k d{ k @ g k W y e s a i f jp; i = d s v i z d k j d h i k B ~ ; l k ex z h e q f Ê r ; k g L r f y f [ k r d k x t d h i f p ek s ck b y Q k s u ; k f d l h H k h i z d k j d s b y s D V ™ k f u d m i d j. k k s a i z d k j d h l k ex z h d k s y s t k u s ; k m i ; k s x d ju s d h v u q ef r u 9. jQ d k ; Z i jh { k k i q f L r d k e s a d s oy f u / k k Z f jr tx g i j g h d h f 10. i j h{ k k le k I r g k s u s i j] i j h{ k k F k h Z d{ k @ g k W y N k s M + u s l s i w v o' ;l k S a i n s a A i { v i u l b l i { i r d d y g A 11. m i = d u e M , o u g m l i v ; u ' u y
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our Target is to secure Good Rank in JEE (Main) 2016
Important Instructions
Do not open this Test Booklet until you are asked to do so.
1. Immediately fill in the form number on this page of the Test Booklet
with Blue/Black Ball Point Pen. Use of pencil is strictly prohibited .
2. The candidates should not write their Form Number anywhere else
(except in the specified space) on the Test Booklet/Answer Sheet.
3. The test is of 3 hours duration.
4. The Test Booklet consists of 90 questions. The maximum marks
are 360.
5. There are three parts in the question paper A,B,C consisting of
Physics, Chemistry and Mathematics having 30 questions ineach part of equal weightage. Each question is allotted 4 (four)
marks for correct response.
6. One Fourth mark will be deducted for indicated incorrect response
of each question. No deduction from the total score will be made
if no response is indicated for an item in the Answer Sheet.
7. Use Blue/Black Ball Point Pen only for writting particulars/
marking responses on Side–1 and Side–2 of the Answer Sheet.
Use of pencil is strictly prohibited.
8. No candidate is allowed to carry any textual material, printed or
written, bits of papers, mobile phone any electronic device etc,
except the Identity Card inside the examination hall/room.
9. Rough work is to be done on the space provided for this purpose
in the Test Booklet only.
10. On completion of the test, the candidate must hand over the Answer
Sheet to the invigilator on duty in the Room/Hall. However, the
candidate are allowed to take away this Test Booklet with them.
11. Do not fold or make any stray marks on the Answer Sheet.
eg oi . u n '
b l i i rd d rc rd u [ y tc rd dg u t ,A
1. i j h k k i q f L r d k d s b l i ` " B i j v k o ' ; d f o o j . kuh y s @ dk y s ck W y ik
i s u ls r R d k y H k j s a Ai s f U ly dk i z ;k s x f cY d q y oftZ r g S a A
2. i j h k k F k h Z v i u k Q k e Z u a - ( f u/ k k Z f j r tx g d s v f r f j ‰ ) i j h@ m Ÿ k j i = i j d g h a v k S j u f y [ k s a A
3. i j h k k d h v o f / k3 V
g S A
4. b l i j h k k i q f L r d k e s a90 i z ' u g a S A v f / k d r e v a d360 g S a A
5. b l i j h k k i q f L r d k e s a r h u H k k xA, B, C g S a ] f tld s i z R ; s d H k k x
rd oK u
]l ;u oK u
, o ax . r
d s 30 i 'u
g S a v k S j lH k h i z ' u d s v a d le k u g S a A i z R ; s d i z ' u d s
lg
m Ÿ k j d s f y ,4 ( p k j)v a d f uË k k Z f j r f d ; s x ; s g S a A
6. i z R ; s d x y r m Ÿ k j d s f y , m l i z ' u d s d q y v a d d k,d p b v d
d k V k tk ; s x k A m Ÿ k j i q f L r d k e s a d k s b Z H k h m Ÿ k j u g h a e s a ls
Ω. ed v du
u g h a g k s x k A
7. m Ÿ k j i = d si B & 1
, o ai B & 2
i j o k a f N r f o o j . k , o a m Ÿ k j v a f d r d j u s g s r q d s o y
u y d y c y i b V i u
d k g h i z ; k s x d j s a A i ly d i ; x lo o t r g A
8. i j h k k F k h Z k j k i j h k k d k @ g k W y e s a i f j p ; i = d s v
i z d k j d h i k B ~ ; lk e x z h e q f Ê r ; k g L r f y f [ k r d k x t d h i f pZ e k s c k b y Q k s u ; k f d lh H k h i z d k j d s b y s D V ™ k f u d m i d j . k k s a i z d k j d h lk e x z h d k s y s tk u s ; k m i ; k s x d j u s d h v u q e f r u
9. j Q d k ; Z i j h k k i q f L r d k e s a d s o y f u/ k k Z f j r tx g i j g h d h f
10. i j h k k le k I r g k s u s i j] i j h k k F k h Z d k @ g k W y N k s M + u s ls i wv o ' ; lk S a i n s a A
particle at t = 8 s if its initial velocity is 3 m/s ?
O 4 8 t
–1
4
a
(1) 4 m/s (2) 5 m/s (3) 6 m/s (4) 7 m/s
1. ; f n AM la d s r e s a f ' k [ k j o k g d v k ; k e ( e k s M q f y r u g h e k s M q f y r la d s r d k n q x u k g k s r k s v k ; k e e k s M ________ :-
(1) 20% (2) 50%
(3) 100% (4) 200%
2. f d lh v ºZ r j a x f n " V d k j h ls i z k I rdc f u x Z r / k z q o r k f u E u
e s a ls f d l i z f ÿ ; k k j k O ; q R ÿ f e r d h tk ld r h g S %
(1) M k ; k s M d k s O ; q R ÿ f e r d j
(2) V ™ k a lQ k W e Z j d h i z k F k f e d d q . M y h d k s O(3) V ™ k a lQ k W e Z j d h f r h ; d d q . M y h d k s O ; q R
(4) i z f ÿ ; k (2) , o a (3) n k s u k s a d s k j k
3. f d lh d . k d k R o j . k & le ; v k j s [ k f p = e s a i z n f ' k Z r
d . k d k t = 8 s i j o s x D ; k g k s x k ; f n b ld k i z k j f E H k
4. Two concentric rings each of radius R and massM are joined together such that their planes are
perpendicular to each other as shown in figure.The moment of inertia of the system about theaxis AA' is :-
(1)2MR
5
(2)23
MR 2
A
M
R
A(3)25
MR 3
(4) MR 2
5. A hollow sphere of radius R moves with initial
linear and angular velocities as shown in thefigure on a rough horizontal surface. Theangular velocity of the sphere when its linear velocity becomes zero is :-
V3VR
(1)V
R anticlockwise
(2) VR
clockwise
(3)3V
2R clockwise
(4)3V
2R anticlockwise
4. f = T ; kR rF k k Ê O ; e k uM o k y h n k s la d s U Ê h ; o y ; k s av k i l e s a b l i z d k j tk s M + k tk r k g S f d b u d s r y f p = k
, d& n w lj s d s y E c o r ~ g S A v kAA' d s lk i s k f u d k ; d k tM + R o v k ? k w . k Z g k s x k % &
(1)2MR
5
(2)23
MR 2
A
M
R
A(3)25
MR 3
(4) MR 2
5. f = T ; kR o k y s , d x f r ' k h y [ k k s [ k y s x k s y s d k i z k j f E
j s [ k h ; , o a d k s . k h ; o s x f p = e s a n ' k k Z ; k x ; k g S A [ k q j n j h k S f r t lr g i j g S A x k s y s d k j s [ k h ; o s x ' k w i j b ld k d k s . k h ; o s x g k s x k % &
maximum dipole moment occurs when all thedipoles are aligned. The molar mass of iron is
56g, and its specific gravity is 8. The
approximate magnetization of the domain
is :-
(1) 8.0 × 105 A/m (2) 8.0 × 108 A/m
(3) 8.0 × 1011 A/m (4) 8.0 × 1014 A/m
11. A particle is placed at the lowest point of a
smooth wire frame in the shape of a parabola,
lying in the vertical xy-plane having equation
x2 = 5y (x, y are in meter). After slight
displacement, the particle is set free. Find
angular frequency of oscillation (in rad/sec)
(take g = 10 m/s2) :-
(1) 2 rad/s (2) 4 rad/s
(3) 6 rad/s (4) 8 rad/s
12. Two particles A and B have de-Broglie's
wavelengths 30Å and 20Å, combined to forma particle C. Momentum is conserved in this
process. The possible de-Broglie's wavelength
of C is :-
(1) 10Å (2) 20Å
(3) 65Å (4) 80Å
10. y k S g s e s a y k S g p q E c d h ; i z k a r e s a i z R ; s d y k S
p q E cd h ; f/k z q o vk ? k w .k Z9.27 × 10 –24 A–m2 g k s r k g S A
y k S g s e s a , d y k S g p q E c d h ; i z k a r1 µm H k q tk o k y s ? k u d h
v k d ` f r e s a g S A tc lH k h f / k z q o la j s f [ k r g k s r s g S a f / k z q o v k ? k w . k Z i z k I r g k s r k g S A y k S g s d k e k 56g
rF k k b ld k f o f ' k " V x q :R o8 g k s r k g S A i z k a r d k y xH k
p q E c d u g k s x k % &
(1) 8.0 × 105 A/m (2) 8.0 × 108 A/m
(3) 8.0 × 1011 A/m (4) 8.0 × 1014 A/m
11. , d d . k ≈/ o k Z / k j xy- r y e s a f L F k r i j o y ;
x2
= 5y (x, y e h V j e s a g S) d h v k d ` f r o k y s , d f p d u s r k j ›s e d s f u E u r e f c U n q i j f L F k r g S A d . k d k s
f o L F k k f i r d j N k s M + f n ; k tk r k g S A n k s y u d h d k s
(rad/sec e s a) K k r d h f t, (g = 10 m/s2) :-
(1) 2 rad/s (2) 4 rad/s
(3) 6 rad/s (4) 8 rad/s
12. n k s d . k k s aA rF k kB d h M h & c z k s X y h r j a x n S / ; Z ÿ
30Å rF k k20Å g S A ; s la ; q ‰ g k s d j , d d . kC c u k r s g S a A b l i z f ÿ ; k e s a la o s x la j f k r j g r k g S AC d h la H k k f o r
M h & c z k s X y h r j a x n S / ; Z g k s x h :-
13. In an experiment of photoelectric effect, thevariation of photoelectric current is plottedagainst potential difference across emitter andcollector plates for different intensities. On the
basis of graph choose the incorrect option :-
I1
I2
V
Photoelectriccurrent
(1) All emitted photoelectrons do not have samekinetic energy
(2) If frequency of incident light is kept
constant, the maximum kinetic energy of emitted photoelectron is independent of intensity.
(3) Maximum value of photoelectric current isindependent of intensity of radiation if itsfrequency is constant.
(4) From the graph, we can conclude radiationintensity I
1 > I
2.
14. A passenger in an aeroplane shall :-
(1) Never see a rainbow.(2) May see a primary and a secondary rainbowas concentric circles.
(3) Will see a primary and a secondary rainbowas concentric arcs.
(4) Shall never see a secondary rainbow.
13. i z d k ' k f o |q r i z H k k o i z ; k s x e s a f o f H k U u r h o z r k m R ltZ d rF k k la x z k g d I y s V k s a i j f oH k o k U r j f o |q r / k k j k d s e/ ; i f j o r Z u v k j s [ k i j n ' k k Z ; k x ; k x y r f o d Y i p q f u , % &
I1
I2
V
Photoelectriccurrent
(1) lH k h m R lf tZ r Q k s V k s b y s D V ™ k W u k s a d h u g h a g S A
(2) ; f n v k i f r r i z d k ' k d h v k o ` f Ÿ k f u ; r j [ k h tk , r k s
m R lf tZ r Q k s V k s b y s D V ™ k W u d h v f / k d r e r h o z r k i j f uH k Z j u g h a d j r h A
(3) i z d k ' k f o |q r / k k j k d k v f / k d r e e k u f o f d j . k d h r h o z r k i j f uH k Z j u g h a d j r k ] ; f n b ld h v k o ` f Ÿ k g k s A
(4) v k j s [ k d s v k / k k j i j d g k tk ld r k g S f d f o f d j . k r h o z r kI
1 > I
2 g S A
14. o k ; q ; k u e s a c S B s ; k = h d k s % &(1) dH k h H k h b U Ê / k u q " k f n [ k k b Z u g h a n s x k A(2) i z k F k f e d rF k k f r h ; d b U Ê / k u q " k la d s U Ê h
:i e s a f n [ k k b Z n s ld r s g S a A(3) i z k F k f e d rF k k f r h ; d b U Ê / k u q " k la d s U Ê h ;
:i e s a f n [ k k b Z n s x s a A(4) dH k h H k h f r h ; d b U Ê / k u q " k f n [ k k b Z u g h a
15. Two identical spherical stars each having a massequal to that of the sun move in a commoncircular orbit of radius equal to the earth'sorbital radius, under their mutual gravitationalinteraction. Their time period of rotation
equals:-
(1) 2yr (2)1
2 yr (3) 2 2 yr (4) 2 yr
16. An equimolar mixture of a monoatomic and adiatomic ideal gas is suddenly compressed to1
8th of its original volume. The ratio of final
temperature to the initial temperature :-
(1) 80.53 (2) 80.5 (3) 81.53 (4) 82/3
17.
In an experiment to determine the inertial massof an object using Newton's second law,following graph is obtained between net forceon the object and the acceleration produced init. The mass of the object within error limitsis :-
1 2 3
F(N)
1
2
3
a(m/s )2
(1) 1.0 kg (2) 1 kg(3) (1.0 ± 0.1) kg (4) (1.0 ± 0.15)kg
15. lw ; Z d s le k u Ê O ; e k u o k y s n k s , d tS ls x k s y k d k
v i u s v U ; k s U ; x q :R o k d " k Z . k d s i z H k k o e s a i ` F o
f = T ; k d s c j k c j f = T ; k o k y h m H k ; f u " B o ` Ÿ k k d k j
x f r d j r s g S a A b u d s ? k w . k Z u d k v k o r Z d k y g k s x
(1) 2yr (2)1
2 yr (3) 2 2 yr (4) 2 yr
16. , d i j e k f . o d rF k k f & i j e k f . o d v k n ' k Z x S l d s
le& e k s y j f eJ . k d k s v p k u d i z k j f E H k d v k ; r u d s1
8 x q u k r d la i h f M + r f d ; k tk r k g S A v f U r e rF k k i z k r k i e k u d k v u q i k r g k s x k % &(1) 80.53 (2) 80.5 (3) 81.53 (4) 82/3
17. U ; w V u d s f r h ; f u ; e d s m i ; k s x k j k f d lh f i . M tM + R o h ; Ê O ; e k u d k s K k r d j u s lE c U / k h i z ; k s x i j y x k ; s x ; s d q y c y rF k k b le s a m R i U u R o j . k d sv k j s [ k f p = e s a n ' k k Z ; k x ; k g S A = q f V lh e k d s
20. A transverse wave is passing through a stringshown in figure. Mass density of the string is1 kg/m3 and cross section area of string is0.01m2. Equation of wave in string is y = 2sin(20t – 10x). The hanging mass is (in kg)
['t' is in second and 'x' is in meter] :-
m
(1) 40 (2) 0.2 (3) 0.004 (4) 0.4
21. There is a set of 4 tuning forks, one with lowestfrequency vibrating at 552 Hz. By using anytwo forks at time, the beat frequencies heard
are 1, 2, 3, 5, 7, 8. The possible frequencies of other three forks are :-
(1) 553, 554 and 560 Hz
(2) 553, 555 and 560 Hz
(3) 553, 556 and 558 Hz
(4) 551, 554 and 560 Hz
22. In an experiment to determine the radius of achalk by screw gauge, the diameter is measuredand readings are d
1 = 1.002 cm, d
2 = 1.004 cm
and d3
= 1.006 cm. Select the correctalternatives:-
(1) Mean absolute error in radius is 0.0013 cm
(2) Mean absolute error in diameter is 0.0013cm
(3) Error is 0 cm(4) % age error in the measurement of diameter
is 1.3%
20. f p = e s a , d v u q i z L F k r j a x j L lh ls g k s d j x q tj j g h j L lh d k Ê O ; e k u ? k u R o1 kg/m3 rF k k j L lh d k v u q i z L F k d k V k s = Q y0.01m2 g S A j L lh e s a r j a x d h le h d j . k y = 2sin (20t – 10x) g S A y V d s g q , Ê O ; e k u d k e k(kg e s a) g S ['t' ls d . M e s a rF k k'x' e h V j e s a g S]:-
m
(1) 40 (2) 0.2 (3) 0.004 (4) 0.4
21. 4 L o f j = k s a d s le w g e s a ls U ; w u r e v k o ` f Ÿ k o k 552 Hz i j d E i U u d j j g k g S A f d U g h a H k h n k s L o
, d lk F k i z ; q ‰ d j u s i j lq u k b Z n s u s o k y h f o L i U n
1, 2, 3, 5, 7, 8 g S A ' k s " k r h u k s a L o f j = k s a d h a v k o ` f Ÿ k ; k ° g k s x h a % &(1) 553, 554 rF k k 560 Hz
(2) 553, 555 rF k k 560 Hz
(3) 553, 556 rF k k 558 Hz
(4) 551, 554 rF k k 560 Hz
22. L ÿ w x s t k j k f d lh p k s d d s V q d M + s d h f = T ; k lE c U / k h i z ; k s x e s a O ; k l d k e k i u f d ; k tk r k g S i k B ~ ; k a dd
1 = 1.002 cm, d
2 = 1.004 cm rF k k
d3 = 1.006 cm i z k I r g k s r s g S a A lg h f o d Y i p q f u , %(1) f = T ; k e s a e k / ; f u j i s k = q f V0.0013 cm g S A
(2) O ; k l e s a e k / ; f u j i s k = q f V0.0013 cm g S A
23. The ratio of average translational K.E. torotational K.E. of a linear polyatomic moleculeat temperature T is :-
(1) 3 (2) 5 (3)3
2(4)
7
524. Two spheres of emissive power 0.6 and 0.8 and
radii 2cm and 4 cm are heated to 27°C and
127°C and placed in room of temperature 0K.
The ratio of heat radiated per second is :-
(1) 0.059 (2) 0.044 (3) 0.079 (4) 0.831
25. Two short dipoles of dipole moment p are
placed at two corners of a square as shown in
the figure. What is the ratio of magnitudes of electric field at two points O & A :-
O
A p
p
(1) 2 (2) 2 2 (3) 1 (4) 2
26. Rate of dissipation of joule heat in resistance per unit volume is (E is elect ric field, resistivity):-
(1)E
(2)2E
(3) E2 (4) None of these
23. r k i e k uT i j , d j S f [ k d c g q i j e k f . o d v . k q d h v k S lr L F k k u k U r j . k x f r t ≈ tk Z , o a ? k w . k Z u x f r t ≈ tk Z d k v
g k s r k g S % &
(1) 3 (2) 5 (3)
3
2 (4)
7
524. n k s x k s y k s a d h m R ltZ u k e r k0.6 o 0.8 rF k k f = T ; k ÿ e ' k %
2cm o 4 cm g S A b U g s a0K r k i e k u o k y s d e j s e s a ÿ e ' k %
27°C o 127°C r d x e Z f d ; k tk r k g S A i z f r ls d . M
f o f d f j r ≈ " e k d k v u q i k r g k s x k % &(1) 0.059 (2) 0.044 (3) 0.079 (4) 0.831
25. f / k z q o v k ? k w . k Z p o k y s n k s y ? k q f / k z q o f p = k u q lk j , d
n k s d k s u k s a i j j [ k s g q , g S a A f c U n qO rF k kA i j f o |q r k s = d s
i f j e k . k k s a d k v u q i k r g k s x k :-
O
A p
p
(1) 2 (2) 2 2 (3) 1 (4) 2
26.
i z f r j k s / k i z f r b d k b Z v k ; r u e s a tw y ≈ " e k d s ‚ k l d h g k s r h g S(E f o |q r k s = , i z f r j k s / k d r k g S):-
34. 1 e k s yv k n ' k Z x S l 10 bar d s f u ; r c k g ~ ; n k c d s f o :º
(5 y h V j , 300K) ls (10 y h V j , 200K) r d :ºk s " e h ;
i z l k j e s a y h x ; h g S r k s f d ; k x ; k d k ; Z c j k c j g S-
(1) – 50 J (2) –300 cal(3) – 5000 J (4) – 500 cal
35. n h x ; h v f H k f ÿ ; k d s f y ; s lk E ; o L F k k f u ; r k a d g
aA bB + cC
( u k s V : a , b rF k k c U ; w u r e v k a f d d j lle h d j . k f e r h ; x q . k k a d g S)
Time
conc. [C]
1
2
3
4
5
6
[B]
[A]
(1) 48 (2) 4 3
(3) 64 (4) 36
36. A2+(aq.)
+ 2e – A(s) ; E = 0.8 volt
B3+(aq.)
+ 3e – B(s) ; E = 0.6 volt
; f n A2+(aq.) rF k k B3+(aq.) ; q D r f o y ; u o S |q r v i ? k f V r g k s r k g S ] r k s m i j k s D r lw p u k d k m i ; k g q , o g v k ; u c r k b ; s tk s d S F k k s M i j i g y s f u k s f i r
(1) A2+(aq.)
(2) B3+(aq.)
(3) H+(aq.)
(4) OH(aq.)
34. 1 mol of an ideal gas undergoes adiabaticexpansion from (5 litre, 300K) to (10 litre, 200K)against constant external pressure of 10 bar. Work done equals to -
(1) – 50 J (2) –300 cal(3) – 5000 J (4) – 500 cal
35. Equilibrium constant for the given reactionwill be
aA bB + cC
(Note : a , b & c are minimum integralstoichiometric coefficients )
Time
conc. [C]
1
2
3
45
6
[B]
[A]
(1) 48 (2) 4 3 (3) 64 (4) 36
36. A2+(aq.)
+ 2e – A(s) ; E = 0.8 volt
B3+
(aq.) + 3e –
B(s) ; E = 0.6 voltUsing above information find the ion which will bedeposited first at cathode if solution containingA2+(aq.) & B3+(aq.) is electrolysed.
37. , d v . k q d k l j y r e lw = c r k b ; s f tu e s a'A' i j e k . k q
:f U M r (truncated) v " V Q y d d s i z R ; s d d k s u s i j
m i f L F k r g S rF k k'B' i j e k . k q i z R ; s d f d u k j s d s d s U n z
m i f L F k r g S(1) AB (2) AB
2
(3) A2B
3(4) A
3B
2
38. l g h dF k u d k p ; u d h f t; s-
(1) ' k w U ; d k s f V v f H k f ÿ ; k d s f y ; s, t1/2
i z k j f E H k d lk U n z r k
i j f u H k Z j d j r k g S
(2) 1st d k s f V v f H k f ÿ ; k d s f y ; s n j] v f H k f ÿ ; k c < +
d s l k F k l k F k f u ; r j g r h g S
(3) 2nd d k s f V v f H k f ÿ ; k d s f y ; s, t1/2
i z k j f E H k d lk U n z r k
e s a o ` f º d s l k F k c < + r k g S
(4) , d 1st d k s f V v f H k f ÿ ; k ] i z k F k f e d g h g k s x h
39. f o y ; u -I (S-I) = 0.2 M HCl (aq.)
f o y ; u -II (S-II) = 0.2 M BOH (aq.) (K b= 10 –2M)
f o y ; u -III (S-III) = 1 y h V j f o y ; u - I + 1 y h V j
f o y ; u - II
f o y s ; d k s v o k " i ' k h y rF k k f o y ; u d k s v k n ' k Z e k
g q , l g h dF k u d k p ; u d h f t; s(1) i j k lj . k n k c d k ÿ e g S %S-II < S-I < S- III
(2) o k " i n k c d k ÿ e g S %S-I < S-III < S- II
(3) D oF k u k a d f c U n q d k ÿ e g SS-II < S-III < S- I
(4) f g e k a d f c U n q d k ÿ e g S S-I < S-II < S -III
37. Find the simplest formula of a molecule in which'A' atoms are present at each corner and 'B' atomsare present at each edge centre of a truncatedoctahedron
(1) AB (2) AB2
(3) A2B
3(4) A
3B
2
38. Select the correct statement -
(1) For zero order reaction, t1/2
depends on initial
conc.
(2) For 1st order reaction, rate remains constant
as reaction proceed
(3) For 2nd order reaction, t1/2
increases with
increase in initial conc.
(4) A 1st order reaction must be elementry
39. Solution-I (S-I) = 0.2 M HCl (aq.)
Solution-II (S-II) = 0.2 M BOH (aq.) (K b=10 –2M)
Solution-III (S-III) = 1 litre solution- I + 1 litre
solution- II
Considering solute to be non-volatile and solution
to be ideal, select the correct statement(1) Order of osmostic pressure is S-II < S-I<S-III
51. f u E u e a s ls d k S u ls ; q X e e s a(I) d h r q y u k e s a(II) SN1
v f H k f ÿ ; k d s i z f r v f / k d f ÿ ; k ' k h y g S:
(1) ,Br
Br
(2) ,ClClO
(3) ,Br Br
(4) ,I Br
52. f u E u e s a l s d k S u l k ; k S f x d v k s t k s u h v i ? k"3- e s f F k y -6- v k W D lk s g s I V s u s y " m R i k f n r d j s x k?
(1) (2)
(3) (4)
53. f u E u ; k S f x d k s d s f y ; s ] x y r f o d Y i d k p ; u d h f t; s?
CH –NH3 2 (CH ) NH3 2 (CH ) N3 3
(a) (b) (c)
(1) x S l i z k o L F k k e s aa, b, c e s a ls(c) lo k Z f / k d k k j h ; g S(2) ty h ; i z k o L F k k e s aa, b, c e s a ls(b) lo k Z f / k d k k j h ; g S(3) lH k h ] l e k u l e tk r J s . k h d s l n L ; g S(4) d s o y(a) d k s x s f c z ; y F k s y h e k b M l a ' y s " k . k
i z k I r f d ; k tk l d r k g S
51. Among the following pairs, in which pair (II) ismore reactive than (I) for SN1 reaction :
(1) ,Br
Br
(2) ,ClClO
(3) ,Br Br
(4) ,I Br
52. Which of the following compound on ozonolysiswill produce "3-methyl-6-oxoheptanal" ?
(1) (2)
(3) (4)
53. For the following compounds, choose the incorrectoption ?
CH –NH3 2 (CH ) NH3 2 (CH ) N3 3
(a) (b) (c)
(1) (c) is most basic among a, b, c in gas phase(2) (b) is most basic among a, b, c in aq. phase(3) All are member of same homologous series(4) Only (a) can be obtained by gabriel
62. The dimensions of a rectangle are continuously
changing. The width increases at rate of
3 inch/sec. while the length decreases at rate of
2 inch/sec. At one instant if the each side of rectangle
is 20 inch, then the rate of change of area after 3
seconds is-
(1) 16 inch2/sec (2) –16 inch2/sec
(3) 32 inch2/sec (4) –32 inch2/sec
63. Let 2 3x x x
x 1 ...2 4 8
(where x [–1,1]), then the value of
1
0
x dx
e
is
equal to-
(1) 1 (2) 2 (3) 3 (4) 4
64. Let ƒ(x) = min(4x + 1, x + 2, –2x + 4), x R,
then the maximum value of ƒ(x) is -
(1)1
3(2)
1
2(3)
2
3(4)
8
3
61. ; f n Q y u ƒ(x) rF k kg(x) b l i z d k j g S f dx i j ƒ(x), v u U r d h v k s j v x z l j g S rF k k
xlim ƒ x 5g x 10 g k s ] r k s x
ƒ x 5g x
lim 10g x 5ƒ x
c j k c j g k s x k &
(1) 10 (2)1
10(3) –1 (4)
2
3
62. , d v k ; r d h T ; k f e f r f u j a r j i f j o f r Z r g k s r h g S A b ld p k S M + k b Z e s a3 inch/sec d h n j ls o ` f º g k s r h g S tc f d b ld h y E c k b Z e s a2 inch/sec d h n j ls d e h g k s r h g S A ; f n f d l h , d k . k i j v k ; r d h i z R ; s d H k q tk d h y E c k b Z20 inch g S ] r k s3 ls d . M i ' p k r b ld s k s = Q y e s a i f j o r Z u d h n j g k s x h-
(1) 16 inch2/sec (2) –16 inch2/sec
(3) 32 inch2/sec (4) –32 inch2/sec
63. e k u k 2 3x x x
x 1 ...2 4 8
( tg k °x [–1,1]) g k s ] r k s
1
0
x dx
e
d k e k u g k s x k &
(1) 1 (2) 2 (3) 3 (4) 4
64. e k u kƒ(x) = U ; w u r e(4x + 1, x + 2, –2x + 4),
x R g k s ] r k sƒ(x) d k v f / k d r e e k u g k s x k &
65. Let A = [aij] be a 3 × 3 invertible matrix. If
determinant value of matrix A is 3, then the value
of det((adjAT)T) + det.((adj A –1) –1) (where det(B)
denotes determinant value of matrix B)-
(1) 3 (2) 6 (3) 9 (4) 1866. Area of triangle whose vertices are (a,a2), (b,b2),
(c,c2) is1
2 and area of another triangle whose
vertices are (p,p2), (q,q2) and (r,r 2) is 4, then the
value of
2 2 2
2 2 2
2 2 2
1 ap 1 bp 1 cp
1 aq 1 bq 1 cq
1 ar 1 br 1 cr
is-
(1) 2 (2) 4 (3) 8 (4) 16
67. Let
2
2
4 sec 1 0
A 0 3tan 1
0 1 2
and
2
2
cot 2 0
B 1 3cosec 1
1 1 2
, then minimum
value of tr.(AB) is (where tr(A) denotes trace of
square matrix A)-
(1) 12 (2) 20
(3) 32 (4) 64
65. e k u kA = [aij], , d 3 × 3 d k O ; q R ÿ e . k h ; v k O ; w g g S
; f n v k O ; w gA d k lk j f . k d e k u3 g S ] r k sdet((adjAT)T) + det.((adj A –1) –1) d k e k u g k s x k ( tg k °det(B), v k O ; w gB d s lk j f . k d d k s n ' k k Z r k g S)-
(1) 3 (2) 6 (3) 9 (4) 18
66. ' k h " k Z(a,a2), (b,b2), (c,c2) o k y s f =H k q t d k k s = Q y1
2
rF k k ' k h " k Z(p,p2), (q,q2) rF k k(r,r 2) o k y s v U ; f =H k q t d k
k s = Q y4 g k s ] r k s
2 2 2
2 2 2
2 2 2
1 ap 1 bp 1 cp
1 aq 1 bq 1 cq
1 ar 1 br 1 cr
d k e k u g k s x k &(1) 2 (2) 4 (3) 8 (4) 16
67. e k u k
2
2
4sec 1 0
A 0 3tan 1
0 1 2
rF k k
2
2
cot 2 0
B 1 3cosec 1
1 1 2
g k s ] r k str.(AB) d k
U ; w u r e e k u g k s x k( tg k ° tr(A), o x Z v k O ; w gA d s v u q j s [ k d k s n ' k k Z r k g S)-
69. Let x > 0 and y > 0, then the maximum value of
2
2 2
5x 12y
x y
is-
(1) 25 (2) 144 (3) 169 (4) 256
70. Consider the polynomials
2P x x 2 x 2x 2
2Q x x 2 x 2x 2
2 8R x x 2 x 16 ,
then the coefficient of x4 in P(x). Q(x). R(x) is-
(1) 0 (2) 2 (3) 2 (4) 4
71. A biased coin has2
3 probability of landing heads.
If the coin is flipped 50 times, then the probability
that the number of heads is zero or even is-
(1)
50 50
50
3 2
2.3
(2)
50
50
3 1
2.3
(3)
50
50
3 1
2.3
(4)
50 50
50
3 2
2.3
68. e k u k a , d / k u k R e d o k L r f o d l a [ ; k rF k k
a a a
a a an
n 1 n 2 .... n nlim 15
1 2 ... n
g k s ]
r k sa d k e k u g k s x k &(1) 1 (2) 2 (3) 3 (4) 4
69. e k u kx > 0 rF k ky > 0 g k s ] r k s
2
2 2
5x 12y
x y
d k
v f / k d r e e k u g k s x k &
(1) 25 (2) 144 (3) 169 (4) 256
70. e k u k c g q i n
2P x x 2 x 2x 2
2Q x x 2 x 2x 2
2 8R x x 2 x 16
g k s ] r k sP(x). Q(x). R(x) d s i z lk j e s ax4 d k x q . k k a d g k s x k &
(1) 0 (2) 2 (3) 2 (4) 4
71. , d i k i k r h f lD d s d s f p Ÿ k o k j f x j u s d h i z k f ; d r k2
3
g S ; f n f lD d s d k s50 c k j m N k y k tk r k g S ] r k s i z k I r f d h d q y l[ a ; k ] ' k w U ; ; k le la [ ; k e s a i z k I r g k s u s i z k f ; d r k g k s x h &
77. If ˆˆ ˆa, b,c are unit vectors, then the number of
integers in the range of the expression
2 2 2ˆ ˆˆ ˆ ˆ ˆ2a 3b 2b 3c 2c 3a is-
(1) 51 (2) 53 (3) 55 (4) 57
78. The complete set of real values of such that
point P(, sin) lies inside the triangle formed by
lines x – 2y + 2 = 0, x + y = 0 and x – y – = 0 is-
(1) ,3 2
(2) 0, ,6 3 2
(3)2
0, ,2 3
(4) (0,)
75. ; f n 0 < < < <2
g k s ] r k s le h d j . k
(x – sin) (x – sin) + (x – sin) (x – sin)
+ (x – sin) (x – sin) = 0 d s &
(1) o k L r f o d rF k k v le k u e w y g k s x s a A(2) v o k L r f o d e w y g k s x s a A(3) o k L r f o d rF k k le k u e w y g k s x s a A(4) 2 ls c M + s o k L r f o d rF k k v le k u e w y g k s x s a A
76. e k u kP1 rF k kP
2 , xy- le r y e s a n k s v p j f c U n q g S A f c U
P1 ls x q tj u s o k y h , d j s [ k kL
1 = 0, y- v k d k s f c U n qB
i j d k V r h g S rF k k f c U n qP2 ls x q tj u s o k y h j s [ k kL
2 = 0,
x- v k d k s f c U n qA i j d k V r h g S A ; f nL1 = 0 rF k k
L2 = 0 y E c o r ~ g k s ] r k sAB d s e/ ; f c U n q d k f c U n q iF k
g k s x k &(1) lj y j s [ k k (2) o ` Ÿ k (3) n h ? k Z o ` Ÿ k (4) i j o y ;
77. ; f n ˆˆ ˆa,b,c b d k b Z l f n ' k g k s ] r k s O ; a t2 2 2ˆ ˆˆ ˆ ˆ ˆ2a 3b 2b 3c 2c 3a d s i f j l j e s a
i w . k k ± d k s a d h la [ ; k g k s x h -
(1) 51 (2) 53 (3) 55 (4) 57
78. d s o k L r f o d e k u k s a d k i w . k ± le q P p ; b l i z d k j f c U n qP(, sin), j s [ k k v k s ax – 2y + 2 = 0, x + y = 0
rF k kx – y – = 0 k j k f u f e Z r f =H k q t d s v U n j d h v k f L F k r g S &