1. In the CGS system, the magnitude of force is F dynes. If in another system the fundamental physical quantities are kilogram, meter, and minute, then the magnitude of force is

36 x F

3.6 F

F

F

2. The errors in the measurement of length and time period in a simple pendulum experiment are and respectively. The maximum percentage error in measurement of is

1.5%







3. Two physical quantities A and Bare related to each other by the equation, A K exp(-TIB). If in an experiment A and B are the measured parameters, then the value of T can be determined from the slope of which of the following graphs

A on Y-axis and B on X-axis

A on Y-axis and exp(B) on X-axis

InA on Y-axis and B on X-axis

InA on Y-axis and liB on X-axis

4. A wire is bent to form a square and the area of the square is 100 cm2, if the same wire is then used to form a circle, the radius of the circle will be

4.5 em

5.6 em

6.4 em

10 cm

5. The next number in the following series is?


21

26

31

41

6. Roma's father is four times as old as her. In 20 years, he will be only twice as old as her. How old are Roma and her father now, respectively?

8 and 32 years

10 and 40 years

9 and 36 years

15 and 60 years

7. Find the odd one out from the following series, 10,25,45,54,60,75,80

10

45

54

75

8. In how many different ways can the letters of the word "MATHEMATICS" be arranged so that the vowels always come together?

(a)10080

(b)4989600

(c)120960

(d)580460

9. At an election involving two candidates 68 votes were declared invalid. If the winning candidate secured 52% of the votes and won by 98 votes, the total number of votes polled are

(a)2382

(b)2450

(c)2518

(d)2650

10. Four different electronic devices make a beep after every 30 minutes, 1 hr, 1.5 hr, and 1 hr 45 minutes, respectively. If all the devices beeped together at 12:00 noon, then they will again beep together at

12 midnight

3 am

6 am

9am

11. In an examination a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and scores 125 marks, the number of questions he attempts correctly is

35

40

42

46

12. Find the number of triangles in the following figure

<img src='./qimages/16037-12.jpg'>

15

16

17

18

13. In a question paper, out of a total of 12 questions, only 6 are to be answered. 6 questions have one alternative each. Each question has 4 parts, only 3 of which are to be answered. How many questions (including parts) are there in the question paper?









14. Which number replaces the mark in the following figure?

<img src='./qimages/16037-14.jpg'>









15. Find the odd one out

32:12

88:26

56:14

36:13

16. A train running at the speed of 60 km/hr. crosses a pole in 9 seconds. What is the length of the train?

120 meters

150 meters

180 meters

324 meters

17. Consider the following statements­

1. All birds are swans;

2. Some skirts are birds;

3. All swans are ducks

Which of the conclusions given below are correct?

I. Some ducks are birds;

II. Some skirts are ducks;

III. All birds are ducks

IV. Some birds are not ducks

Only I and II

Only II and III

Only III and IV

II, and III

18. The ratio of value of imports to exports by a company over the years is given in the graph below. If the value of imports in 1998 was Rs. 250 crores and the total exports in the years] 998 and 1999 together was Rs. 500 crores, then the value of imports in 1999 was

<img src='./qimages/16037-18.jpg'>

Rs. 250 crares

Rs. 300 crores

Rs. 357 crares

Rs. 420 crares

19. If A+B means A is the mother of A/B means A is the brother of AxB means A is the son of B and A-B means A is the daughter of which of the following means C is the niece of

D-C

DxP-C





20. Odometer: mileage as compass:

speed

hiking

needle

direction

21. If M

2 3
4 5

then is given by

4/2 5/2



4/2 2/2

4/2 2/2

22. If M

1 2
3 4 and N

4 2
1 3 then MxN is given by



-16 -18


6 8
16 18


16 18
6 8


-16 -18


23. If y ae^x where c are constants, then is equal to,

O



y"

l

24. The equation, r 1/8 3/8 cos represents

a parabola

an ellipse

a hyperbola

a rectangular hyperbola

25. If the uncertainty in position and momentum of a particle of mass "m" are related as, !ll!:i.p being Planck's constant), then the speed of the particle is 4n­



hm/4nAx

hAx/4mn

hmAx/4n

26. Which of the following is a non-contact type temperature sensor?

Platinum resistance thermometer

Thermocouple

Optical pyrometer

Bimetallic thermometer

27. If a capacitor of capacitance 1000 MF is charged at a steady rate of 200 then the time required to produce a potential difference of 20V across it is

50 sec

100 sec

150 sec

200 sec

28. The total angular momentum quantum number of Cu-l-2 is

0

1

2



29. The thermal diffusivity of a solid object can be expressed in

m^2/sec

N/sec^2



m/sec^2

30. Diffusionless transformation in steels results in which of the following phases

Ferrite

Ledeburite

Pearlite

Martensite

31. Fora reversible adiabatic process, if 8 is the entropy at temperature then

AS> 0

AS 0

AS

AS 00

32. In ionic crystals, a pair of cation vacancy and anion vacancy is called as,

Pair of defects

Schottky defect

Frenkel defect

Surface defect

33. A system absorbs X joules of heat from the surroundings and does Y joules of work on the surroundings. The net energy change in the system is

Joules

Joules

Joules

Joules

34. Fluctuation relative to the mean energy of a thermodynamic system consisting of an ensemble of"N' particles scales as,

N

N^2

1/N

1/sqrt(N)

35. Which of the following four materials contains least amount of carbon

Grey cast iron

Wrought iron

Pig iron

White cast iron

36. During the last stage of refining process re-oxidation is performed sometimes, to increase

Molten steel temperature

Steel cleanliness

Slag fluidity

Inclusions

37. During oxidation of iron which of the following does not form as a scale

Wustite

Ferrite

Hematite

Magnetite

38. Inoculation is often used in metal casting to control

Grain size

Solidification shrinkage cavity

Segregation

Homogenization

39. The nature of mass transport during solidification in ingot casting reflects as

Macro segregation

Micro segregation

Dendrites

Micro porosity

40. Which of the following accounts for maximum energy loss in a boiler?

Flue gases

Ash content in the fuel

Incomplete combustion

Unburnt carbon in flue gases

41. With increase in calorific value of fuels, their adiabatic flame temperature

only increases

only decreases

remains unchanged

may increase or decrease depending on the quantity of products of combustion

42. The chemical formula of Mullite is

Al2O3. 2SiO2

3Al2O3.2SiO2

Al2O3.SiO2

2Al2O3.3SiO2

43. One million precipitate particles per unit volume of a precipitation hardened alloy coalesce into 1000 particles due to over aging. Assuming that the particles are uniformly distributed in the matrix and their volume is small compared to the volume of the matrix, then compared to initial value the yield strength due to coarsening

would increase by 10%

would decrease by 10%

would remain unchanged

cannot be estimated from the given information

44. The initial concentrations of reactants A and B in a chemical reaction are CAO and C BO respectively. A second order reaction of the form A B Y is called a pseudo-first order reaction, when

CAO=CBO

CAO>CBO

CBO>CAO

CBO»CAO

45. Which of the following refers to the ability of a material to absorb energy when deformed elastically?

Toughness

Fracture toughness

Resilience

Hardness

46. The total thermal conductivity, of a crystalline solid around room temperature can be expressed by (where Ke, Kp, Kh and are the electron, proton, hole and lattice contributions to the total thermal conductivity)

K=Ke+Kp

Kp +Kh



K=Ke

47. Which of the following is not true for an intrinsic semiconductor?

The product of electron and hole densities at room temperature is a function of the position of Fermi level.

The electron and hole densities are equal.

The Fermi level lies roughly halfway between the bottom of the conduction band and top of the valence band.

The product of electron and hole densities at room temperature is independent of Fermi level.

48. If a semiconductor is n type, the Fermi energy will be

close to the bottom of the conduction band.

at the middle of the band gap.

near the top of the valence band

aligned with the top of the conduction band

49. The [OHr concentration in a solution having pH value is



10^-10

10^-11

10^-13

50. Which of the following is used in industrial fermentation to produce food and drinks

Yeast

Bacteria

Virus

Vitamins

51. In a DNA double helix, the two DNA chains are held together by

Metallic bonds between the pair of bases

Hydrogen bonds between the pair of bases

Ionic bonds between the pair of bases

Organometallic bonds between the pair of bases

52. The repeating units of Poly tetra fluoro ethylene are

Ch-CH-CH3

F2C-CF2

F3C-CF3

FClC CF2

53. How many independent elastic constants are required to characterize crystals?

only 2

less than 2

only 1

greater than 2 and the number increases with decrease in crystal symmetry

54. Both the creep resistance and the tensile strength of an alloy can be increased by

increasing the grain size

decreasing the grain size

addition of dispersoids

annealing

55. Which of the following does not improve the fatigue life of a steel component?

Nitriding

Decarburization

Improving surface finish

Shot peening

56. If the atomic diameter of an element which crystallizes in the fcc structure is then the interplanar spacing of planes is

a

a/sqrt(3)

sqrt3a

3a

57. The yield strength of a polycrystalline metal increases from 100 MPa to 145 MPa on decreasing the grain diameter (assuming spherical grains) from 64 Mm to 25 Mm. The yield strength of the metal (in MPa) having a grain diameter of 36 Mm is

120 MPa

130 MPa

135 MPa

140 MPa

58. The minimum number of slip systems that must be operative during plastic deformation is









59. During cathodic protection, the sacrificial anode

accepts electrons from the protected metal

reacts spontaneously with the protected metal

oxidizes more readily than the protected metal

causes the protected metal to become an anode

60. During the corrosion of Mg in a biomedical implant, the anode reaction is

Mg Mg2+ 2eo

2eo Mg

40H- O2 21-bO 4e-

O2 2H20 4e- 4 OH-