IIT JAM 2013 Paper Geo Physics

8/14/2019 IIT JAM 2013 Paper Geo Physics

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2013-GP.Test Paper Code: GP

Time: 3 Hours Maximum Marks: 100INSTRUCTIONS

2013-GPREAD INSTRUCTIONS ON THE LEFTSIDE OF THIS PAGE CAREFULLY

Signatrire of the Can.didate

REGISTRATION NUMBER

Name:

____ _._------Signature of the Invigilator

Test Centre: .

I have read all the instructions and shallabide by them.

Do not write your Registration Numberor Name anywhere else this questioncum-answer booklet.

I

~

~I have verified the information filled by thecandidate above.I

I

1. This question-cum-answer booklet has40 pages and has 45 questions in three sections. Pleaseensure that the copy of the question-cum-answerbooklet you have receivedcontains all the questions.2. Write your Registration Nnrnber, Name and thename of the Test Cent re in the appropriate spaceprovided on the right side.3. Attempt any two sections and indicate yonrselection below with a tick-mark ,/IGEOLOGY IPHYSICS IMATHEMATICS I4., Write the answers to the objective questions againsteachQuestion No. in the AnswerTable for ObjectiveQnestions, provided on Page No. 36. Do not writeanything elseon this page.5. Each objective question has 4 choices for its answer:A , B , e and P). Only ONE of them is thecorrect answer. There will be negative marking forwrong answers to objective questions. The followingmarking scheme for objective questionsshall be used :a For each correct answer, you will he awarded2 Two m a r k ~b For each wrong answer, you will be awarded

~ Negative 0.5 mark. .c Multiple answers to question willbe treated as a wrong answer .d For each un-attempted question, you will beawarded 0 Zero mark.e Negative marks for objective part will becarried over to total marks.6. Answer the fIll in the blank type and descriptivetype questions only in the space provided aftereach question. No negative marks for fill in theblank type questions.7. Do not write more than one answer fur the sarnequestion. In case you attempt a fill in the blank or a

descriptive question more than once, please cancel theanswer s you consider wrong. Otherwise, the answerappearing lastonly will eevaluated.8. All answers must ewritten in bluelblacklblue-black

ink only. Sketch pen, pencil or ink of any other colourshouldnot eused.All rough work should be done in the spaceprovided and scored out finally.10. No supplementary sheets will be provided to thecandidates.II . Clip board, log tables, slide rule, cellular phone

and electronic gadgets in any form ar eNOT ALLOWED. Non-ProgrammableCalculator is ALLOWED.

12.The question-cum-answer booklet must be returnedin its entirety to the Invigilator before leaving theexamination hall. Do not remove any page fromthis booklet.


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IMPORT NT NOTE FOR CANDIDATES

Select any TWO Sections Objective, Fill in the Blanks Descriptive) among the three listedbelow:

GEOLOGY SECTION

PHYSICS SECTION

: Q. Nos. 01-05 Objective Questions)Q. Nos. 06-10 Fill in the Blank Questions)Q. Nos. 11-15 Descriptive Questions): Q. Nos. 16-20 Objective Questions)Q. Nos. 21-25 Fill in the Blank Questions)

Q. Nos. 26-30 Descriptive Questions) M THEM TICS SECTION : Q. Nos. 31-35 Objective Questions)Q. Nos. 36-40 Fill in the Blank Questions)Q. Nos. 41-45 Descriptive Questions)

Distribution Marks in each section

I 05 x 02 =10 marks I 05 x 03 =15 marks I 05 x 05 =25 marks I Total 50 marksQuestions: 1-5, 16-20 31-35) OBJECTIVE QUESTIONS carry two marks each.- For each correct answer, you will be awarded 2 Two) marks.

- For each wrong answer, you will be awarded -0.5 Negative 0.5) mark.Multiple answers to a question will be treated s a wrong answer.For each un-attempted question, you will be awarded 0 Zero) mark.Negative marks for objective part will be carried over to total marks.Questions: 06-10,21-25 36-40) FILL IN THE BLANK QUESTIONS carry three markseach. For each correct answer, you will be awarded 3 Three) marks.For each wrong answer, you will be awarded 0 Zero) mark.For each un-attempted question, you will be awarded 0 Zero) mark.There s no negative marking for fill in the blank questions.Questions: 11-15,26-30 41-45) DESCRIPTIVE QUESTIONS carry five marks each.- For each correct answer, you will be awarded 5 Five) marks.- For each wrong answer, you will be awarded 0 Zero) mark.- For each un-attempted question, you will be awarded 0 Zero) mark.- There s no negative marking for Descriptive questions.

Write the objective type question s answers for any TWO of the above attemptedsections in th e nsw r Table for Objective Ouestions provided on page 36 only.

GP 1 40


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GEOLOGY SECTION: Objective Questions

Q Match the natural features listed in Group I with the corresponding geological environmentslisted in Group IIGroup I Group IIP. Atoll RiverQ Esker 2 VolcanoR Caldera 3. SeaS. Braid bar 4. GlacierA P-1, Q-3, R-4, S-2 B P-3, Q-4, R-2, S- lC P-3, Q-4, R-1, S-2 0 P-3, Q-2, R-4, S- l

Q.2 Orogenic belts are associated withA divergent plate boundariesB transform faultsC convergent plate boundaries collision zones0 convergent plate boundaries subduction zones

Q.3 Which one of the following sequences, show arrangement of the stratigraphic units in theincreasing order of their ages?A Subathu Formation, Po Formation, Dmia Formation, Bijaigarh ShaleB Subathu Formation, Dmia Formation, Po Formation, Bijaigarh ShaleC Subathu Formation, Dmia Formation, Bijaigarh Shale, Po Formation0 Bijaigarh Shale, Po Formation, Dmia Formation, Subathu Formation

Q.4 Match the fossils listed in Group I with the corresponding morphological features listed inGroup IIGroup I Group IIP re Broad pallial sinusQ Troehus 2 Oysodont dentitionR ya 3. Taxodont dentitionS strea 4. Conical-spiral

A P-3, Q-4, R-1, S-2 B P-1, Q-4, R-3, S-2C P-3, Q-2, R-4, S- l 0 P-2, Q-4, R-1, S-3

Q.5 Match the items listed in Group I with the those listed in Group Group I Group IIP Perthite Intergrowth of quartz and alkali FeldsparQ Graphic texture 2 Intergrowth of albite and potasic FeldsparR Ophitic texture 3. Plagioclase laths enclosed by augiteS. Myrrnekitic texture 4. Intergrowth of quartz and sodic plagioclase

A P-1, Q-4, R-2, 5-3 B P-1, Q-2, R-3, 5-4C P-2, Q-4, R-3, 5-1 0 P-2, Q-1, R-3, 5-4

GP-2/40


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~GEOLOGY SECTION : Fill in the blank Questions

Q.6 The concept hanging wall/foot wall does not hold good in the case faults which arelhave

~ A n s . . .: ;: : :

---------------.-.--------------------------_.-------------------------_.--------------------------------------------------------------,Q.7 A light blue mineral occurring in bladed form. is composition AhSiOs. A specimen thismineral has hardness Mohs scale) 4-5 well 6-7. TIle name the mineral is,---------------------------------------------------------------------------------------------------------.------------------------------

: . _ . ~ ~ ~ ~

areioritequivalentsolcanic granite, syenite and and respectively.Q.8

i ~ ~ ~ ~ ~ ~ ~ . ~ . ~ .

lAos:

GP3 4


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[Q.9 Individual suture lines characterized by cerrated lobes altemating with rounded saddles in

ammonoids are called .

:_ . _

Q.lO In n area of normal stratigraphic sequence conformable beds an older bed gets exposed byerosional process only. Such an exposure of an older bed surrounded by younger beds stermed s _: ~ ~

GP4/40


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[GEOLOGY SECTION: Descriptive Questions

ll Name the crystal system which the mineral galena crystallizes. Give its element ofsymmetry in terms of number of i axial and diagonal planes of symmetry and ii axes ofvarious folds of symmetry. Write its chemical composition, streak and hardness. With whichore mineral is it commonly found associated in the Zawar mines of Rajasthan?----------------------_.--------------------------_.------------------------------------------------ r---,\i

[

I, , i, i ,si

,,i ,, , _. _.

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Q 2 With the help of neat sketches, describe characteristic features of the following drainage

patterns i Dendritic ii Trellised iii Centripetal iv Radial and v Annular.

8g

._ ._ . ._

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]Q.13 What is an anticline? How does it differ from an antiform? an east west trending doublyplunging antifonn the northern limb dips steeper than the southern limb. Sketch this fold bystratum contours.

am

._ _. _. ._ ._ ._ ._. _.

GP8 4


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Q.14 Define the term sand. What is I> scale for measuring the grain size of sediments? Giving

reasons, explain which one of the following two samples of sandstone has better sortingStandard Deviation grain size, I )

Sample P 0.38Sample Q 0.74A sequence of sandstone, shale and limestone has undergone metamorphism. Name possibleresultant metamorphic rocks.

sl J

r

GP9 4


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[Q 15 What is the difference between petroleum pool and petroleum field What is a reservoir trap?

Define the terms absolute porosity and effective porosity

-

2

GPI 4


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[ JPHYSICS SECTION: Objective Questions

t 2(B)

D)

A

A lmiform electric field is directed at an angle e from vertical in a dielectric medium o fpermittivity 81 This field extends to another dielectric medium of permittivity 82 82 > 81)There is no charge at the interface between the two dielectric regions. Which of the followingfigure depicts correct electric field lines?

IIII

C)

Q.16

Q.17 Consider an X-ray diffraction experiment using a cubic crystal. The smallest angle of Braggscattering from 001) planes is 14.5. The smallest angle of Bragg scattering from 002) planeswould beA 14.5 B 21 C 30 D) 42

Q.18 A container is filled with a liquid of density p and surface tension S. There is a bubble ofradius r at a depth h below the surface of the liquid see figure). Ph is the pressure inside thebubble whereas Po is atmospheric pressure. Ph PO will be equal to

Pol ~

A hpg B h+ r pg 5(C) hpg + r 5D hpg

2mCp ln e2 T ~ T :2mC In [TeTTo]p 2T: T:;:

BD)

In an experiment, two masses of a liquid, each being In are taken. One mass is at temperatureTj whereas the other is at temperature T T2>Tj These masses are mixed. The change in theentropy of the system isA m C p l n [ T ~ T T ]

_ / T ~ T :

C I [T T_] C) 2m p n 2JTe

Q.19

Q.20 Consider two reference frames S xy) and S x y ). S is moving with a velocity v with respectto S along the common axes, x x A rod of 1 meter length in S makes an angle 20 with thex -axis. The angle of the rod is observed to be 30 with respect to the x-axis in S. c is thespeed of light in free space, v is A) 0.30 c B) 0.50 c C) 0.77 c D) 0.90 c

GP 1114


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[ JPHYSICS SECTION: Fill in the blank Questions)

Q.21 A particle is thrown vertically upward with an initial velocity 49 m/s from the ground. Afterrising vertically for 3 seconds, particle breaks into two pieces mass ratio 1 : 3. The lightermass acquires a horizontal velocity 10 m/s at the instant breaking. With respect to thepoint from where the particle was thrown initially, heavier piece will land at. =9.8 m/S )M i

Q.22 Two equal masses, each being = 1 kg , are connected with two identical springs springconstant 200 N/m as shown in the figure. The angular frequencies the two normalmodes vertical oscillations are _r ; = ~ ; n m n m m mnm n m mn m m m m m m m m m m m m mmm m mm1 w

I ---------------------------------------------------------------------------------------------------------------

GP-12/40


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Q.23 A resistor R 2 Q a capacitor C 2 mF and an inductor L 4m are connected in series with

a generator operating at a frequency of 40 Hz in one experiment. The impedance of this circuitis Zs. In another experiment, the same R C and L are connected in parallel to the samegenerator as shown in the figure. The impedance of this circuit is Zp. The ratio Z IZp isR c R L

Q.24

AW_ _

A plane electromagnetic EM) wave is travelling in yz plane at an angle 30 from y-axis.Motion is confmed in vacuum and the wavelength of the EM wave is 500 urn 1 urn = 10-9 m).Electric field, associated with the M wave, is confmed along x-axis and has a magnitude oflOY /m. The expression of the associated magnetic field would be

Q.25 The activity of 3xlO-9 kg of a radioactive sample, Rn, is 46 Ci. The activity of the samesample exactly after one hour, correct to one decimal digit, would be Ci _ Avogadro s no=6.025x1026 kmor l , I Ci =3.7xlO lO decays/sec)fr

GP 13 40


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PHYSICS SECTION: Descriptive Questions

Q 26 A disc of radius R/2 is removed from a disc of radius R as shown in the figure Mass of thenew structure is Find the moment of inertia of the new stmcture about an axis which isnormal to the plane of the disc and passing through the center P of the big disc

~ ~ .

Co

GP14 4


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O


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Q 7

ac

A metallic hemispherical bowl is attached to a hollow metallic circular cylinder t the bottom s shown in the figure. Radius of hemisphere s well s of the cylinder is Height of thecylinder is h Entire system carries a uniform surface charge density Find electric field Eat point

/ p r ~ = ~ ~ ~1

GP16 4


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Q.28 A Calcite 4 plate s introduced between the two crossed polarizers (PI P2) s shown in the

figure. unpolarized beam s incident nonnal to PI from left hand side. Write down theexpressions for the electric fields associated with the beam after PI, after 4 plate and afterP Also find the state-of-polarization after PI, after 4 plate and after P2 s observedby an observer shown in the figure.

P . +ass aXOptic axisFast axis

Jplate

+ Pass axis,

P, }

s-CI

,,,,,,,,,,,,,,,,, _ _ _

GP18 4


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0

___


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[I]Q 29 An ideal monatomic gas Cr =5/3 is taken through a cyclic process ABCDA as shown n the

figure. A. 7B is an isothermal expansion at temperature 900 K B. 7C is an adiabaticexpansion C. 7D is an isothermal compression at temperature 300 K and D. 7A is an adiabaticcompression. The volume at the point B is 60 liters. The volume and pressure at the point Dare 30 liters and o respectively. Calculate pressure at points A nd C Also calculatevolume at A and C. A

DB

cv

_ _

Jj< lg-

GP20/40


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Q.30 Assume that the transistor shown the figure is biased the active region. Calculate the

value VCE, Ic and IE take =100 and VBE =0.7 volt .+10 volt

3 k10 k Q

2k Q k Q

i

gco

GP22 4


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Q.31

MATHEMATICS SECTION: Objective Questions

The sum of the series L:;; Q . 4j: . is tn l ~ n 2 rA 2 B 1 C 1/4 D 1/2

Q.32 The orthogonal trajectories of the family of curves represented by d = - 3y areA x - 3y +3 + ce Y = 0C 3x + Y + ceY = 0

B x + 3y - 3 + ce-Y = 0D 3x y ce Y =O

Q.33 A unit normal vector to the surface :: 2 = 4x - 2y at the point 2, 0, 4 isA 1+ 4]+8kC H - ] +4k

B ~ 8 L + 4 ] - kD HSL +] + k

Q.34 Let T: R2-7R3 be a linear transformation such that T I, 2 = 1, 3, 2 and T 2, 3 = 0, 4, 2 .Then T lO, 17 isA 2, 22, 12 B 6,26, 16 C 4,24,14) D 0, 20, 10

Q.35 Consider the polynomial { x = 2. x 6 +7x 5 + 4x 3 +2x +5 . I f the interval ofdifferencing is 2, then the value of D 6{ x isA 720 B 1920

GP24 4

C 384 D 320


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~MATHEMATICS SECTION: Fill in the blank Questions

Q.36 The area bounded by the curves 2y - 2: : 1 = 0 and y = x : : 1 IS: ~ A n s ; . . .: . ]i i

Q.37 The solution of the differential equation ~ ~ :: - 6y = 2x subject to the initial conditionsyeO) = 5, :y (0) = ~ isx , --------------------------------------------------------------------_.-------------------------_.-------------------------------------,~ s : i ,

Q.38 An eigenvector of the matrix A = is _ 1 0

l A ; ; ~ : 1

. JQ.39 A random sample of size 100 is taken from an infmite population. The population mean,

f l = 75 and the variance, J 2 = 256. Using the centrallirnit theorem, the probability that themean of the sample will fall between 73 and 77 is (correct to fourdecimal places).Given: I f Z is the standard nonnal variate, then P O < Z < 1.2) = 0.3849, P O < Z < 1.25) =0.3944 and P O < Z < 1.3) = 0.4032.

~ i: :i _ _ __

valuesn.40 The cubic polynomial p x , which takesp(o) = -2 p l) = 0 p 2) = 8,p 3) = 34 and p 4) = 90, is _fAlls:--------------------------------------------------------------------------------------------------------------------------------,

GP 25 40


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]MATHEMATICS SECTION; Descriptive Questions

Q 4 Find the maximum and minimum values o the function [ x = xe- < <

sll

t . ,

GP 26 40


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;

l:li


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[Q 42 Consider the region that lies inside the sphere = 2 and outside the cylinder

= 1 Find the volume this region using triple integral,,,,,,,,,,

s

,,,,,,,,,,_ _GP 28/40


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i


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Q.43 Use Stokes theorem to evaluate err where = x+ Z I 2y :: } x-z k andC is the boundary of the triangle with vertices P 6, 0, 0), Q 0, 4, 0) and R 0, 0, 3

f . .. 1

a

JJf

GP 30 40


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_


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Q.44 In a university, 15 of the students are female and the remammg students are male.

Furthermore, 10 of the male students and 2 of the female students are over 6 feet tall.A student is randomly selected and is observed to be over 6 feet tall. Find the probabilitycorrect to three decimal places) that this student is a female.

g

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:,,,,,,,,i

i

,,,,,,,,,,,,,,,,,


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Q.45 was proposed to compare the average earnings per day of men and women in an industry.

From a sample data of 60 men it was observed that the average earning of men per day isRs. 285 and a standard deviation is Rs.15. On the other hand a sample data of 60 womenshowed their average earning as Rs. 5 per day and the standard deviation as Rs.18. Test thehypothesis that the average earning of men per day exceeds that of the women by more thanRs. 30. Use 0.05 level of significance.Given: If is the standard normal variate then pe 1.645 = 0.45 andp 1 96 = 0.475

a;j

GP34 4


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;:


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Answer Table for Objective QuestionsWrite the Code ofyour chosen answer only in the Answer column againsteach Question Number Do not write anything else on this page

GEOLOGY SECTIONQuestion Do not write in thisNumber column

2

3 4 5

PHYSICS SECTIONQuestion Answer Do not write in thisNumber column

161718192

MATHEMATICS SECTIONQuestion Answer Do not write in thisNumber column

332333435FOR EVALUATION ONLY

GP 36 40


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:m


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~m


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0


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:a


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2013 GPFOR EVALUATION ONLY - DO NOT WRITE ON THIS PAGE

GEOLOGY SECTION PHYSICS SECTION MATHEMATICS SECTIONQ.No. Marks Signature Q.No. Marks Signature Q.No. Marks Signature

Objective Part Objective Part Objective PartTotal Total Total1 5 16 2 31 35

Fill in the Blank Part Fill in the l nk Part Fill in the Blank Part6 21 367 22 378 23 389 24 391 25 4

Total Total Total6 1 21 25 36 4

Descriptive Part escriptive Part Descriptive Part11 26 4112 27 4213 28 4314 29 4415 3 45

Total Total Total11 15 26 3 41 45

Total ObjectivePartTotal Fill in the blanks PartTotal Descriptive PartGRAND TOTAL Total Marks in wordsSignature of Examiner sSignature of Head Examiner sSignature of Scrutinizer

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IIT JAM 2013 Paper Geo Physics