Code No: C -57 Hall Ticket No:
University ofHyderabad
ENTRANCE EXAMINATION 2013-2014 M.Tech Advanced P.G. Diploma in Mineral Exploration Date/Day: 26.02.2013, Tuesday Time: 2.00 -4.00 pm Marks: 75
Instructions for the candidates:
1.
All questions carry equal marks.

2.
Write your Hall Ticket Number on the OMR Answer Sheet and in the space provided on the question paper.

3.
The question paper consists of Objective Type questions ofone mark each. For each question, there are four answers and the answers are to be indicated with capital letters of alphabets viz., C and D.

4.
The question paper consists of Part and Part

5.
Answers are to be marked on the OMR answer sheet following the instructions provided there upon.

6.
Hand over the OMR answer sheet at the end of the examination.

7.
No additional sheets will be provided. Rough work can be done in the space provided at the end ofthe booklet.

8.
Non-programmable calculators are allowed.


PART-A
1. The dimensions ofuniversal gravitational constant are
M2 L2 r 2 M"t L3 r 2 L-tr 2 L2 r 2
2. If the acceleration due to gravity of a planet is half the acceleration due to gravity of earth's surface and radius of planet is half the radius of the earth, the mass ofplanet in terms ofmass of earth is
Me Me Me Me
2 4 68
3. If the radius of the earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth's surface would
decrease remains unchanged increase none ofthese
4. Geo-stationary satellite

revolves about the polar axis


has a time period less than that ofthe earth's satellite


moves faster than a near earth satellite is stationary in the space


5. A body is moving along a circular path with variable speed. It has

a radial acceleration a tangential acceleration


zero acceleration both tangential and radial accelerations


6. A body is traveling in a circle at constant speed. It

has constant velocity has no acceleration


has an inward acceleration has an outward radial acceleration


7. A bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle. What should be the minimum velocity of the bucket at the highest point, so that the water in the bucket will not spill? 10 rn/s2)
2.5 rn/s 4 rn/s 5 rn/s 7 rn/s
8. The points and form a triangle which is
Isoceles Equilateral(C) Acute angle Right angled
9. If sinx cosx 0 and x does not lie in either 2nd or 3rd quadrant then secx
1
10. The value ofdeterminant two ofwhose rows are equal is
0 1 2 Does not exist
11. The quadrant containing the point is
I II I and II None
12. Ify=3x2 -15x +17 then dy/dx at x is
-11 21 None
13. The derivative of sin3x with respect to cos3x is
tan3x -cot3x -3tan3x -3cot3x
14. If A+B =225 then
2 1 2tanAtanB None ofthese
15. Which of the following elements is NOT among the 8 most abundant elements in Earth's crust?
potassium calcium carbon iron

16. Atoms become ions when they

gain or lose electrons gain or lose protons


gain or lose neutrons gain or lose mass


17. The largest portion ofEarth's volume is
the crust the mantle the inner core the outer core
18. The composition ofthe upper mantle is known because

samples ofmantle rock have been analyzed by scientists


meteorites are believed to be similar to the mantle


some caves on Earth extend into the mantle


none ofthese


19. The average thickness ofoceanic crust is
5-10 km 30-50 km 100-150 km 200-300 km
20. Most ocean water probably came from

comets impacting Earth's surface volcanic degassing ofthe planet


rain falling into the ocean basins melting ofpolar ice caps


21. The Richter Scale is used to determine

intensity ofearthquakes the magnitude ofearthquakes


the damage from earthquakes the number ofcasualties in an earthquake


22.
The compound that contains both ionic and covalent bonds is (A)CH4 KCN KCI

23.
Which ofthe following burns in Nitrogen gas?

24.
Gravity field ofthe earth varies with


latitude longitude


both latitude and longitude none ofthese



25.
The unit ofdensity is


glcc kg g/kg
3
PART-B
.

26. A car is moving with a speed of 30 mls on a circular path of radius 500 m. Its speed is increasingat the rate of2 m/s2. The acceleration ofthe car is
9.8 mls2 1.8 ml2 2 m/s2 2.7 m!S2
27. A cyclist turns around a curve at 15 miles per hour. If he turns at double the speed, the tendency of overturn is
doubled quadrupled halved unchanged
28. The flow ofheat from a hot body to a cold body is an example of
Isothermal process Reversible process Adiabatic process Irreversible process
29. A sphere, a cube and a thin circular plate all made of the same material and having the same mass are initially heated to a temperature of 300°C. Which one ofthese cools faster?
Circular plate Sphere(C) Cube All will cool at the same rate
30. The emissive ofa perfectly black body is
(B)0.5 0.75
31. The coefficient oftransmission ofa perfectly black body is
Zero One 0.5 0.75
32. An ideal black body is represented by

A metal coated with a black dye A glass surface coated with coal tar


A hollow enclosure blackened from inside and having a small hole


A lump of charcoal heated to a high temperature


33. According to Prevost's theory ofheat exchange, the heat exchange stops at
O°C -273°C -273 K
34. Two thermometers A and B exposed to sunlight. The value of A is painted black but that of B is not painted. The correct statement regarding this case is
Temperature of B will rise faster
4­





Temperature ofA will remain more than B


Both ofA and B show equal rise from the beginning


Temperature ofA will rise faster than B but the final temperature will be same in both


35. Moon has no atmosphere because

It is far away from the surface ofthe earth


Its surface temperature is 1aoc



The r.m.s. velocity of all the gas molecules is more than the escape velocity of the moon's surface


The escape velocity of the moon's surface is more than the r.m.s velocity of all molecules


36. According to kinetic theory of gasses at absolute zero temperature .

Water freezes Liquid helium freezes


Molecules motion stops Liquid hydrogen freezes


37. For an ideal gas, Cv is
cp
(A» 1 1

38. Boyl's law is applicable in
Isochoric process Isothermal process Isobaric process Isotonic process
39. Ifthe pressure ofan ideal gas is decreased by 10% isothermally, then its volume will
Increase by 10% Increase by 11.1% Decrease by 10% Decrease by
40. Which ofthe following properties of gas molecule the one that is same for all ideal gases at a particular temperature is
Mass Velocity Momentum Kinetic energy
41. Theoretical value ofPoisson's ratio lies between
-1to 0.5 to-2 0.5 to 1 None
42. Which is true ofthe continental shelf?

it is a shallow submarine platform at the edge ofcontinents


it slopes very gently seaward


it has variable width


all of these


43. Which is characteristic of mid-ocean ridges?
shallow focus earthquakes high heat flow basalt eruptions (D)all of these
44. Oceanic trenches

are narrow deep troughs parallel the edges of continents and island arcs


are typically 8-10 km deep all of these


45. Theportion ofthecontinentalmarginthatmarksthetrueedge ofthecontinentis
continental shelf continental slope continental rise abyssal plain
46. The deepest portions of the ocean basins are
ocean trenches mid-ocean ridges abyssal plains continental slopes
47. Active volcanoes are associated with
Active continental margins Ocean islands
Mid-Ocean Ridges all of these
48. The oldest seafloor on Earth is not more than
200 million years old 2 billion years old
20 million years old 2 million years old
49. The point within the Earth where seismic waves originate is

the epicenter the fault scarp the origin the focus
50. The minimum number of seismic stations needed to locate an earthquake is
1
51. Most earthquakes at divergent plate boundaries are
shallow focus intermediate focus(C) deep focus all ofthese
52. Magnetic field is defined as

force/unit pole strength product offorce and unit pole strength


both and None ofthese


53. Which ofthe following is a characteristic metamorphic mineral?
(A)Kyanite Staurolite (C)Cordierite (D)All ofthe above
54. Negative gravity anomalies are generally associated with

sedimentary basins Cratons


Metamorphic basement None of these


55. The first seismic waves to arrive at a seismic station are
P-waves S-waves Love waves Rayleigh waves
56. Among the secondary effects oflarge earthquakes are
tsunamis fires landslides all of these
57. Folding occurs when rocks behave as
brittle solids fluids ductile solids none of these
58. Anticlines

form in rocks that are resistant to folding


form in rocks as a result ofbrittle deformation


are upwarped folds


are downwarped folds


59. In a syncline, the oldest rocks will be found

on the limbs ofthe fold near the axis ofthe fold


at the bottom ofthe fold none ofthese


60. Limit n 00

61. If 270< 0<360 and tanO=-24/7 then is
3/5 4/5
62.Ifthelength of3sidesofatriangleare30,24and 18thenarea oftriangleis
216 316 218 318
63. The value oftan(45+0) tan(45-0) is
sec20 2sec20 cosec20 2cosec20

64. Limit sin(x-I)


1/5 5 1
65. The derivative of cosx at x=270 is
0 1 undefined
66. The point which is equidistant from and is

67. The points and are collinear if
1/a lib 1/3 1/a lib 3
68. The angles of the top and foot of a tower as observed from the top of a hill are 30° and Ifthe height ofthe hill is 60 thenthe height ofthe toweris
(A)40m (B)50m (C)60m (D)30m
69. A man invites one or more ofhis 8 friends to a dinner in .... ways
455 400 300 None ofthese
70.
The quartile-2 of a data set is 25 and the median is 30. What these indicate?
(A)The data is very homogeneous Mistake in calculation
(C)Data is following Normal distribution The data got many extreme values


71.
What can be said about a set of data when its standard deviation is zero?


The mean is also zero All ofthe data appear with the same frequency


There is no mode There is very less difference between data points.



72.
If codomain of a function consists of a single element, then constant function is always

one-one onto into bijective

73.
In an isothermal change, an ideal gas obeys

(A)Boyleslaw (B)Charleslaw (C)Gay-Lussac'slaw (D)Noneofthese

74.
The ion that can't be precipitated by both HCI and H2S is



75.
Sometimes chlorine gas is passed through water for its purification. What will be the pH value ofsuch a sample ofwater?


7 7 7 8