Y 1
Entrance Examinations, June 2012 M.Sc. (5-Year Integrated) Sciences
Maximum Marks 100 Time 2 Hours

Hall Ticket No.

Instructions for students
1. Please enter your Hall Ticket Number on this page and on the OMR sheet without fail.
II. Please read the following instructions carefully.
1.
There are 100 questions in this paper. Questions 1-25 are in Biology, 26-50 in Chemistry, 51-75 in Physics and 76-100 in Mathematics.

2.
Each question carries one mark. Each wrong answer will be awarded -0.33.

3.
Answers are to be marked on the OMR sheet following the instructions given there.

4.
Hand over both the question paper and the OMR sheet at the end ofthe examination.


·5. Non-programmable calculators are allowed. tables, programmable calculators and mobile phones are not allowed.
6.
Rough work can be done anywhere on the question paper but not on the OMR sheet.

7.
This book contains 18 pages including this page and pages for the rough work. Please check that your question paper has all the pages.




1. ATP synthase is present in
chloroplast mitochondria Escherichia coli all ofthe above
2. Which ofthe following can diffuse freely across the lipid bilayer ofthe plasma membrane?
Glucose Sodium ion DNA Carbon dioxide
3. Lactose is composed of

fructose galactose glucose glucose


glucose fructose glucose galactose


4. Premature fall ofleaves is due to the deficiency of
nitrogen phosphorous potassium magnesium
5. In the setup shown below in the diagram, which color light will cause the plant to produce the smallest number ofgas bubbles?


.,. ....
I
Red Orange Blue Green
6. Whichofthefollowingeventsoccurssoonafterthebeginning ofdiastole?

The aortic valve closes The aortic valve opens


The atrial valve closes The atrial valve opens


7. Gas exchange in the lungs takes place at the
trachea bronchi bronchioles alveoli
8. A student accidentally places her hand on a hot pan and quickly pulls her hand away. The pan represents
a response an impulse a stimulus an effector
9. Which one of the following statements is INCORRECT regarding the light-independent (dark) reactions of photosynthesis?

The energy source utilized is the ATP and NADPH obtained through the light reaction.


The reaction begins soon after sunset and ends before sunrise.


The five carbon sugar is constantly being regenerated.


The pathway used is usually a 3-carbon pathway, although a 4-carbon pathway does exist in some species.


2
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10. Oxidative phosphorylation can be carried out in a test tube in the absence ofintact cells, provided certain sub-cellular material is used. Assuming that the test tube contains all ofthe necessary substrates, what sub-cellular material would you expect to be the minimum requirement for the process to proceed?

Intact outer mitochondrial membranes Intact thylakoid membranes


Vesicles composed ofinner mitochondrial membrane Golgi complex fractions


11. The following picture refers to a section of

I
t.......... . J

cell membrane organ system synapse cell wall
12. The order ofdevelopmentofmale gametophyte inplants
The developing pollen grains consume the products ofmiddle layers and tapetum ii) Formation oftwo gametophytes from generative cell iii) Pollen grain is the first cell of a male gametophyte iv) Generation of bigger vegetative cell and a smaller generative cell Pollen grain is uninucleate with two layered cells
iii,v,i,iv,ii iii,i,v,ii,iv iii,i,ii,v,iv iii,v,iv,i,ii
13. A biotic or an abiotic resource in the environment that causes population size to decrease is a

carrying capacity limiting nutrient


limiting factor growth factor


14. The compound leaves of Mimosa pudica, popularly known as me not" fold inwards and droop and also close up when touched. Similar behavior is also observed with various other stimuli, such as warming, blowing, or shaking and re-opening within minutes. These types of movements have been termed as

Cell to cell and systemic movement Nyctinastic movement


Seismonastic movements Vander wall movement


15. Closure of stomata under severe drought stress is signaled by the:

exodus ofK+ ions production ofabscisic acid


production ofethylene loss ofW


i-1

16. A lack ofor decrease in insulin hormone receptors on cells catl result in:

Diabetes insipidus Type I diabetes mellitus


Insulin-dependent diabetes mellitus (IDDM) Type II diabetes mellitus


17. The blood type ofthe person who has both anti-A and anti-B antibodies in his blood is:
Type AB Type A Type B Type 0
18. Only 10 percent ofthe energy stored in an organism can be passed on to the next trophic level. Ofthe remaining energy, some is used for the organisms's life processes, and the rest is

used is reproduction stored as body tissue


stored as fat eliminated as heat


19. Which ofthe diagrams below depicts a cell at the beginning ofmitosis?

20. Which one ofthe following is an essential ami(A) Tyrosine Isoleucine no acid? Proline Serine

21. The peptide bond has a "backbone" ofatoms in which ofthe following sequence?

22. Choose the correct matches offruits to their edible parts
1.
Apple A. Fleshy and juicy aril

2.
Fig B. Fleshy thalamus

3.
Pine-apple C. Fleshy receptacle

4.
Litchi D. Outer portion ofreceptacle



4-A 4-A


4-A 4-D


23. Which ofthe following is not required for normal blood clot formation?
Vitamin K Thrombin Proteolysis Plasmin
24. Choose the correct matches ofuseful recombinant proteins to their applications
1.
Human insulin A. Enhancement ofaction ofimmune system

2.
Calcitonin B. Treatment of rickets

3.
Interferon C. Treatment ofdiabetes

4.
Interleukins D. Treatment ofpathogenic viral infections



4-D 4-A


4-A 4-B


4
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25. Which ofthe following is not a stem modification?
Tuber Bulb Rhizome Pitcher
26. The number of unpaired electrons in ferrous iron is
W5 4
27. The triad ofthe nuclei that is isotonic 6Cl4, 9Fl9 6C l4 ?Nl5 9F17 6Cl4, ?NI4 9Fl? Cl2 NI4 Fl9 6
28. The energy of light with a wavelength of 65000A x 10-24 J 3.02 x 10-20 J 3.06 X 10-19 J 6.02 x 10-20 J
29. 1 mole ofClLt contains


6.02 x 1023


atoms of hydrogen 4 gram atoms of hydrogen

3 g of carbon 1.81 x 1023 molecules ofClLt

30. The number of atoms contained in 44 g of C02 is
6.02 x 1023 6.02 x 1024 1.806 X 1024 18.06 x 1022
31. The number oftypes ofBravias lattices are
10 17 14
32.
How many Na+ ions are there around cr in NaCI crystals? W3

33.
In the ideal gas equation. the unit ofR is

mole atmIK. litre/mole litre atm/K mole ergIK

34.
The equilibrium constant for a reaction X 2Y is The equilibrium constant for the reaction Z +Y2 X is

1/40 40

35.
The dissociation constants of four acids are given below. Find the strongest acid

2 x 10-2 0.003 x 10-3 3 x 10-3 2.0 x 10-4

36.
The half-life period ofa first order reaction is 1.6 minutes. Time taken for 90% reaction is


0.8 min 3.2 min 5.3 min 1.6 min
37.6grams ofureais dissolved in 9.9 moles ofwater. Findthe vapourpressure ofthe resulting solution considering the vapour pressure ofpure water to be Po
0.99Po 0.10Po 1.10Po 0.90Po
38. The standard reduction potential of Zn and Cu electrode are -0.76 V and +0.34 V respectively. The standard EMF of Daniel cell is
1.10 V -0.42 V -1.10 V -0.76 V
5




39. The hybridization ofphosphorous in PF3 is
sp3 sp2 dsl

40. The IUPAC name for the compound [CuCh(CH3NH2)2] is

dichlorobis (dimethylamine) copper IT dichlorobis (methylamine) copper II


dimethylamine copper chloride bis (dimethylamine) copper chloride


41. In transition elements, the incoming electron occupies subshell in preference to the
subshell ns subshell np subshell subshell
42. Dry ice consists of
H20

43. In the borax bead test, the brown colour is due to
Cr3+ Co2+ Mn2

44. Which one ofthe following is a secondary alcohol?

3-methyl-l-butanol 2-methyl-l-butanol


2,2-dimethyl-l-propanol 3-methyl-2-butanol


45. A compound contains three elements carbon, hydrogen and nitrogen in the ratio 9:1:3.5. The empirical formula ofthe compound is
C2H6N
46. Which ofthe following alkyl halides will undergo SN I reaction most readily?
(CH3hC-Br (CH3)3C-I (CH3)3C-F (CH3hC-CI
47. The compound with molecular formula C3HgO on oxidation gives a compound of
formula C3H602. The compound X is

primary alcohol secondary alcohol aldehyde tertiary alcohol
48. The element present in teflon is
fluorine chlorine nitrogen oxygen
49. The order ofease offormation ofGrignard reagent using alkyl halides CH3I, C2HsI and
C3H7I is


C2HsI C3H7I CH3I CH3I C2HsI C3H7I


C3H7I C2HSI CH3I C2HsI CH3I C3H7I


50. The reduction of alkyl cyanides with sodium and alcohol is called

Rosenmund reduction Clemmensen reduction


Mendius reduction Sandmeyer reaction





51. Consider two charges with same Illltgnitude q but with opposite signs separated by a distance d. The electric potential for d awith qd finite, at a far off point P at a distance r from t11e midpoint of the charges

is zero. scales as l/r.


scales as 1/r2. scales as 1/r3•


52. The superposition of two periodic oscillations with frequencies II and f2 is

always periodic.


always aperiodic.


periodic if is a rational number.


periodic if is an irrational number.


53. If a heater coil rated lkW. 220 V is connecu.-'d in series with an electric bulb of 100 220 V and are supplied 200V, power consumed by the bulb in this circuit is

68.4 V


45.8 V

10.6 V 29.5 V

54. A particle of 10 mg and having a charge of 50 p,C is projE.-'Cted with a speed of 15 mls into a uniform magnetic field of 125 mT. ASSUming that the particle is projected with its velocity perpendicular to the magnetic field, the time after which the particle reaches its original position for the first time is

14 s


12 s

10 s 88

55. A soap bubble of 2 em diameter is formed on one end of a gla."ls tube having closed stopcock at its centre. If a soap bubble of 4 cm diameter is formed at the other end and the stopcock opened then

each bubble becomes larger ill diameter


each bubble bec.omt:.'S smaller


the 2 em bubble will become larger while the cm bubble becomes smaller


the 2 em bubble will become smaller while the 4 em bubble becomes larger


56. If the frequency of sound waves produced b)r a siren incrf'.-aBffi from 400 Hz to 1200 Hz while the amplitude remains con...'ltant, then the ratio of intensity of 1200 Hz to the 400 Hz wave \rill be

1:3


3:1

9:1 1:9

7



57. The production of a rainbow by the action of sunlight on raindrops is due to reflection only
refraction only
reflection and diffraction reflection and refraction
58. A convex lens 'with radii of curvature Rl=R2 is immersed in water. Assuming that the refractive indices of glas.'3 and water are 3/2 and 4/3 respectively, its focal length il in comparison to that in air, is
II 41
It il=
59. The length of a simple pendulum which takes 36 sec to complete 20 oscillations is
assume g=9.75 mJsee2
60 cm 70 cm
80 em 90 em .
60. Electric field intensity has dimensions
AILT-l lv1L-1T-1
MLTJ 11LT-31-1

61. Three point charges and {.LC are placed respectively at the vertk-es C of an equilateral triangle ofside 0.2 m. The magnitude of the force e'X-perienced by the charge at C is (assume 1/47rEo=9xl09 Nm2 jC2)

2.25 N


2.25V3 N

4.5 N 4.51"3 N

62. In a Vernier callipers 1 em of the main scale is divided into 20 equal parts. If 19 divisions of the main scale coincide with 20 divisions on the Vernier scale the least count of the instrument is
0.1 nun
0.25 mIll
0.025 mm 1 mm
63. A stone is projected upwards with a velocity 60 m/sec. The maximum height the stone re.aches is (a..')8UIDing lOmjsec2)

600 m


360 m

180 m 90 m

64. A gas occupies a volume of 800 cm3 at a pressure of 76 em of mercury. If the pressure is increased to 80 em of mercury at the san1e temperature, the volume of the gas would now be
8


760 ems 3
76 cm
800 em3 80 em3
65. A uniform met.re rod of weight 100 N carries weights of 40 N and 60 N suspended from 20 em and 90 em marks respectively. To balance the metre scale one would have to provide a knife edge at the

50 em mark


tB) 52 em mark

54 em mark 56 em mark

66. A boy standing between two cliffs claps and hears t.wo echoes after 1 sec and 1.5 sec respectively. If the velocity of sound is 360 m/sec, the distancebetv..wn the two cliffs is
180 m
270 m
90m CD) 450 m
67. If a bus of 3000 kg travelling with a velocity of 72 km/hr is brought to rest by applying brakes over a distance of 30 In, the breaking force is

500 N


1000 N

15000 N 2..oo N

68. A vessel contains oil (density 0.8 gJem3) over mercury (density 13.6 gJcm.3). A sphere of homogeneous composition floats with half its volume immersed in mer.., emy and the other half in oil. The density of the material of the sphere in g/em3 is
3.3
6.4
7.2 12.8
69. Young's lllodulu.·:; for aluminium is 7x 1010 Pa. The force needed to stretch an alumimium wire of diamet,el' 2 rrrni and length 800 mm by Imm is

2.75 N 275 N


1.10 N 275 kN


70. A man standing on the road has to hold his umbrella. at 300 with the vertical to keep the rain away. He throws away the umbrella and starts running at 10 km/h and finds raindrops hitting his head vertically. The speed of the raindrops with respect to the road is
20 km/h
10 kmJh
10 km/h 10/ .J3 km/h
9


71. Two hoys. one 52 inches t.aU and the other 55 inches tall. aJ:e standing at distances 4 m and 5 m respectively from an observer at ground level . To the observer
fA) the first boy appears taller

the second boy appears taller'


both appear to be of the same height


both will appear to· be of the same height if the second boy were to move forward by 1m.


72. 70 cal of heat is required to raise the temperature of 2 mole of an ide.al gas at constant pressure from 30°C t.o 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume will be (assume 2 cal/mol-K).
30 cal
50 cal
70 cal 90 cal
73. For normal operation of a common-emitter amplifier

the ba.."lC-emitter junction is reverse biased and the base-collector junction is forward biased


the base-emitter junction is fOl"v-ard biased and the base-collector junction is reverse biased


both the junctious are forward biased


both the junctions are reverse biased


74. As compared to 12C atom, 14C atom has

two e>..'iTa protons and two extra electons


two extra protons and no extra electon


two extra neutrons and no extra eleeton


two extra neutrons and two c:-."tra electolls


15. The half life of a radioactive nudide is 20 hrs. The fraction of the original activity that will remain·after 40 hrs is
1/8
1(2
1/4 1/6


76. Let X be a function, B X and D Y. Pick-up the FALSE statement from the following:

U feB) U


n f(A n


U i-leD) U


n n
77. Let .... iR and log [Sin The range of

a. - x c b
78. If c E a b+c 0 then the roots of
c b-xa
°are
b a c-x
0, ±,/a2 +b2 +c2 +b2 c2)
±3va2 +b2 +c2 +if c2
79. The maximum area of right angled triangle whose hypotenuse is 60cm is
450 sq.em 900 sq.em 1800 sq.em 3600 sq.em
29 9
w+w2
W w+w "
27 +W31
w W31 L.,,17 +w27 is equal to 30 41 41 +w19 19 +w30
80. If w 11 is a cube root of unity then
w +WWW
I
I
1 2 3
81. lim x2 sin(
2
x-tO X
00 0 -00
82. Consider two statements: 81 99100 10099, 82 (1.01)10000 5000

81 is true but 82 is false 81 is false but, 82 is true


81 is true and 82 is true 81 is false and 52 is false


83. Let A ",here ER If A2 0 then
2
a2 +fil e b2 0
2
d2 0 11

Lf-l
84. sin sin sin x when x belongs to
r.] OJ

L f 1 " Ibl fi If 8g, 8g,


80, et oe a. 1 erentIa e lllctIOn. en
.Y ax iJy
0
86, Which of the following regions is bounded in the complex plane
Iz Izl} lz-21 I·z 21}
Iz -31 2lz lz+31+lz 20} 2'71" 4r.
87. If n E then cos cos ...
nn n

0

2
88. [21X
. , 8
.:. .!.

1r r.
"
89. The largest subset of R in which i is

the empty set a finite set.


· f h. 1+siux cos x .at


90. The UUInber 0f so1utIOUS 0 t e equatIOn ill t e open mterv
X Sill X
is

0 3
91. The locus of the midpoints of straight lines which pa..qS through a fixed point x5 +Y5 0 intercepted between the axes is


2xo 2yo
2x 2y 1 Xo Yo
l)..

Y-l

92. If txy ky2 3 0 represents a pair of straight lines for some k. Then the angle between them is
23
t,an-l fl)

(Dhan-1
I
2
1

93. The ec.centrieity of the conic given by 25y2 -lOGy 116 is
2
J34 V34

525 5
94. If y 1 is a tangent to the parabola y2 4x then the point of contact is

95. Consider two circles C1 x2 y2 C2 x2 -6x O. The equation of circle who..<;e diameter is a line segment joining centers of GIl C2 is

y2 0 y2 -4x 3 0


x 2 y2 0 1;2 y2 3 0


2
96. Let a be the position vector of a point on the t'lllip..'·;e X. y2 1. Letb be a unit
g
• 25
vector. The ma.'{imum value that a.b can take is
8
97. Let +k. Let b be the position veetor of a point which lies on the unit sphere. The number of such that satisfy la.bl la x bl is
a 1 2 infinite
98. A committee of three people is selected from a group of six people .. ,P6· The probability that PI, P2 are selected given that Ps, P6 al'e not selected is

1053 2
99. In a box there arc 4 6 gray, 2 white balls. Two balls are dra\1Jl at random from the box. The probability that both the balls drawn. will be of the sa.me colour
is
7


3 1 1
11
100. In a bag there are 2 identical blue balls, 1 red ball and 4 white balls of different sizes.
The total number of possible arrangements of these 7 balls in a row such that 2 white balls al'e at the two extreme positions is
1440
180 360 720