UGC POINT ACADEMY · 2019-10-23 · ugc point academy leading institue for csir-jrf/net, gate & jam booklet code subject code physical science full-length # 1 date: 7/11/2015 timing:

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Instructions

1. This test paper has a total of 75 questions carrying 200 marks. The entire

question paper is divided in two sections, A,B and C . All sections are

compulsory. Question in each section are different type.

2. Read the Questions carefully and mark your appropriate response to the

OMR sheet.

3. There is Negative marking of 1/4th for each wrong answer.

4. Mark the response by Black or Blue Ball Pen only.

5. Any other belongings like Book/ Notes / Electronic device etc are not

permitted in the examination hall.

6. Submit your answer sheet (OMR Sheet) to the invigilator before leaving

the examination hall.

UGC POINT ACADEMY LEADINGINSTITUEFORCSIR-JRF/NET,GATE&JAM

BOOKLETCODE SUBJECTCODE

PHYSICALSCIENCE

Full-Length # 1

Date:7/11/2015 Timing:3:00HMaximumMarks:200

TESTSEREIS#6

05 A


PART-A

1. Mr. and Mrs. Aye and Mr. and Mrs. Bee completed in a chess tournament of the 3games played-

(i) In only the Ist game the two players were married to each other.

(ii) The men won 2games and the women won one game

(iii) The Ayes won more games than the Bees.

(iv) Anyone who lost game did not play the subsequent game. Who did not lose a game?

(a) Mrs. Bee (b) Mr. Bee (c) Mrs. Aye (d) Mr. Aye

Directions: - The Boss asked Janki to go and buy three different types of ball points pen. The first

type costs Rs. 0.50 each, the second type Rs. 5.50 each and the third type Rs. 9.50 each. However the

boss gave Janki only Rs. 100 with the strict instructions to buy exactly 100 pens, in any combination

for that amount.

2. Which of the following is true about the number of pens that Janki can buy

(a) The number of pens of first type is the smallest

(b) The number of pens of second type is the smallest

(c) The number of pens of third type is smallest

(d) The number of pens of the second type is largest

3. The total cost of the first type of pens Janki should buy-

(a) Is less than Rs. 40 (b) Is more than Rs. 40 but less than Rs. 50

(c) Is exactly Rs.50 (d) Is exactly Rs. 40

4. If the square of a 2 digit number EB is MPB and given that M, E, P and B are all distinct numbers,

how many possible values can P take?

(a) 1 (b) 2 (c) 3 (d) 4

5. The four Neighboring families at the KR apartment complex were on a Picknic. There were 8

children consisting of four brother-sister pairs. The four boys were A, B, C and D and the girls were

E, F G and H. They were 32 apples in all to be distributed so that E, F, G and H got respectively 1, 2,

3 and 4 apples. The reaming apples were distributed in such a manner that A took as many apples as

his sister did, C took three times as many as his sister got and D took one times as many as his sister

(a) E (b) F (c) G (d) Cannot be determined

6. A man returns after shooting ad catching birds in his bag. He was asked how many birds he had in

six. The no of birds he had in all were-

(a) 18 (b) 36 (c) 9 (d) 27

7. There are 6561 bags of rice looking alike, 6560 of which have equal weight and one is slightly

heavier. The weighting Balance the minimum no of weighing required to identify the heavier bag is-

(a) 3280 (b) (c) 8 (d) 9

8. An automobile plant contracted to buy shock absorbers from 2 suppliers X and Y, X supplies 60%

and Y supplies 40% of the shock abjorbes. All shock abjorbers are subjected to a quality test. The

shock abjorbes 72% are reliable. The probability that a randomly chosen shock absorber. Which is

founded to be reliable is made by Y is-

(a) 0.288 (b) 0.334 (c) 0.667 (d) 0.720


9.

(a) 54 (b) 72 (c) 27 (d) 36

10. How many squares are in given figures-

(a) 50 (b) 40 (c) 60 (d) 55

11. Three friends Rajeev, Sanjeev and Taseen shared mango from a basket they all went to asleep. After

some time Rajeev wake up, took 1/3rd of total mangoes but returned four to the basket and slept.

After some time Sanjeev wake up and took 1/4th of what was left and returned 3mangoes to the

basket. After some time Taseen took half of the remainder but returned 2 back in the basket. If the

basket had 17 mangoes left, how many mangoes were originally there in the Basket-

(a) 38 (b) 31 (c) 48 (d) 41

12. Find the wrong term of given series-

5, 19, 69, 262, 1033

(a) 1033 (b) 5 (c) 262 (d) 19

13. There are K baskets and n balls. The balls are put into the baskets randomly. If K < n, then which of

the following is true-

(a) There is no empty Basket

(b) There are exactly (n-K) Baskets with at least one ball

(c) There is at least one basket with two or more balls

(d) There are (n-K) baskets with exactly two balls

14. A sphere of radius 4c.m. is curved from a homogeneous sphere of radius 8c.m. and mass 160 gram.

The mass of the smaller sphere is-

(a) 80 (b) 60 (c) 40 (d) 20

15. At in 24 hours how many times hands of watch make a right angle-

(a) 24 (b) 22 (c) 44 (d) 48

16. The calendar for 1996 is the same for-

(a) 2003 (b) 2012 (c) 2001 (d) 2024

17. If there are 12 person b/w A and B, 7 seven person b/w B and C, 4 person b/w C and D, and 5 person

b/w D an E, How many minimum person are required for this arrangement-

(a) 14 (b) 16 (c) 33 (d) 25


18. Which of the position cannot be a standard Dice-

19. One term in Ist series are wrong. Determine it and then give your answer according to Ist series-

I- 1 3 7 11 21 43 85

II- 2 (a) (b) (c) (d) (e) (f)

What will come in place of (f)-

(a) 149 (b) 124 (c) 75 (d) 168

20. Find the odd Alphabet-

A E I O

(a) A (b) I (c) E (d) O


PART-B

21. A spring mass system has undamped natural angular frequency 0 100 / sec . The solution at

critical damping is given by 0 where constant. The system experience the

maximum damping force at time

(1) (2) (3) (4)

22. Fermi energy of a certain metal is 5eV. A second metal has an electron density which is 6%

higher than that of mass . Assuming that the free electron theory is valid for both the metals, the

Fermi energy of is closest to

(1) 5.6 eV (2) 5.2 eV (3) 4.8 eV (4) 4.4 eV

23. 5 7

157 3

x y . The matrix equation above represent

(1) A circle of radius (2) An ellipse of semi major axis is 5

(3) An ellipse of semi major axis 5 (4) An hyperbola

24. The line integral .B

A

F dl where along the semicircular path as show in

figure

(1)

(2) 0

(3) 2

(4) 4

25. A parallel plate air gap capacitor is made up of two plate of area 10 cm2 each kept of distance of 0.88mm. A sine wave amplitude of 10 V and frequency 50Hz is applied across the capacitor as shown

in figure. The amplitude of displacement current density ( 2/mA m ) between the plate closest to.

(1) 0.03 (2) 0.30 (3) 3.00 (4) 30.00

26. Light described by equation is incident on

metal surface. The work function of metal is 2.0 eV maximum KE of the photo electron will be (1) 2.14 eV (2) 4.28 eV (3) 6.28 eV (4) 12.56 eV

27. m

potential well given by

0 0

0 &

for x aV x

for x x a

The energy of lowest energy of system is

(1) 2 2

2ma (2)

2 2

2 (3)

2 2

2 (4)

2 2

2

AB

O( 1,0) (1,0)

x

y


28. The equation of surface of revolution is . The unit normal to surface at point

3,0,1

2

(1) 3 2

5 10i k (2)

3 2

5 10i k (3)

3 2

5 5i k (4)

3 2

10 10i j

29. A particle of mass m is confined in two dimension infinite square well potential of side a. The energy

of particle a given state is . The state is

(1) 4 fold degenerate (2) 3 fold degenerate (3) 2 fold degenerate (4) non degenerate

30. is radioactive nuclei of half life 82ln 2 10 sec . The activity of 10gm of 6027 Co in disintegration

per second is (molar mass 58.93U)

(1) 10110

5 (2) 105 10 (3) 141

105

(4) 145 10

31. At a given point in space, the total light wave is composed of three phasors

. The intensity of light at this point is

(1) 2 2 (2) 2 4 (3) 2 2cosa (4) 2 24 cos 2a

32. A neutron of mass is moving inside a nucleous. Assume the nucleous is to be cubical box of

size 1410 m with impenetrable walls. Take 3410 secJ & 1 MeV 1310 J . The energy of neutron in (MeV) are (1) 1.5 (2) 2.0 (3) 1.48 (4) 1.40

33. Sea water at frequency 84 10v Hz has permittivity 081 , permittivity 0 & resistivity

. What is ratio of conduction current to displacement current? [Consider a parallel

plate capacitor immersed in water driver by voltage ]

(1) 2.41 (2) 1.42 (3) 2.48 (4) 0.42

34. A square loop of curve of side of length a lies in the first quadrant of xy plane with one corner at

origin in this region, there is non uniform time dependent magnetic field 3 2 . The induced

emf is ?

(1) (2) (3) (4)

35. The principal value of iii

(1) 1 (2) (3 i (4)

36. Evaluate , where S is arc length &

(1) (2) (3) (4) 0


37. 1

2 i around a rectangle whose vertices are 2 , 2i i

(1) (2) (3) 0 (4)

38. The value of where is hermit poly.

(1) 8 (2) (3) (4) 20

39. Find the equation of plane which is tangentially to the surface at given point

(1) (2)

(3) (4)

40. The Hall coefficient of sodium which has bcc structure having side equal to 0.428 nm is

(1) 28 3 12.551 10 m c (2) 9 3 10.245 10 m c

(3) 8 3 10.145 10 m c (4) 9 3 12.551 10 m c

41. The packing efficiency of NaCl is

Given, radius of

Radius of

Atomic mass of Na = 22.99 amu Atomic mass of Cl = 35.45 amu (1) 60% (2) 62.8% (3) 66.3% (4) 70%

42. In KCl structure, which peak is not possible

(1) 400 (2) 111 (3) 222 (4) 420

43. At Neel temperature (1) Permeability is maximum (2) permeability is minimum (3) Susceptibility is minimum (4) susceptibility is maximum

44. The chemical potential of ideal Bose gas at any temperature is

(1) Nessessarity negative (2) Nesessarity positive (3) Either zero or negative (4) Either zero or positive

45. A photon of wavelength is incident on a free electron at rest and is scattered in backward direction.

The fractional shift in its wavelength it term of Compton wavelength of the electron is

(1) (2) 2

3

c (3)

3

2

c (4)

2 c

PART-C

46. Isothermal compressibility KT of substance is defined as1

TT

VK

V P. It value for n mole of an

ideal gas will be

(1) (2) (3) 1

P (4)

n

P


47. When the temperature of a black body is doubled, the maximum value of its spectral energy density with respect to initial temperature would become (1) 1/16 times (2) 8 times (3) 16 times (4) 32 times

48. Consider a doped semiconductor having the electron and hole mobilities respectively. Its

intrinsic carrier density is . The hole concentration p for which the conductivity is minimum at

given temperature

(1) ni

P

n (2) Pi

n

n (3) Pi

n

n (4) ni

P

n

49. (1) Wein displacement law (2) Kirchoff law (3)

50. As temperature is increases the time period of pendulum is

(1) Increases proportionality with temperature (2) Increases (3) Decrease (4) Remain constant

51. The value of is

(1) 0 (2) 112m

(3) (4) 1

52. If scattering amplitude , then Total is

(1) 2 2

(2) 2

243

ba (3)

2 2

(4) None

53. Five fermion put in a 1-D box with potential energy

0 0 x aV x

otherwise

The second excited state energy is

(1) 2 2

2 (2)

2 2

2 (3)

2 2

2 (4)

2 2

2

54. If 1 1

0 1A then find the value of trace

(1) (2) (3) (4) 1

55. Assume the amplifier is nulled at 25o C . A sine wave of 10 mV peak amplitude at 100Hz is applied. The error voltage at 45oC is

0

0

30

10nA/ C

V S

T

I S

T

(1) 4.36 mV (2) 4.32 mV (3) 3.32 mV (4) 3.32 Volt


56. The transfer characteristic of this circuit

57. In the circuit shown, the voltage at test point P is 12 V& the voltage between gate & source is .

The value of R in K is

(1) 42 (2) 48 (3) 56 (4) 70

58. In an AC circuit the input voltage and current respectively given by the expression

What is average power consumed in the circuit? (1) 100 W (2) 70 W (3) 200 W (4) 35 W

59. For ground state of hydrogen atom, which option is correct ( is bohr radius)

(1) 2 20 0 (2) 2 2

0 0

(3) 2 20 0 (4)


60. The following process are used for cooling (1) Adiabatic expansion (2) Adiabatic demagnetisation (3) Joule Thomson effect (4) Evaporation

The correct sequence of these process in order of their ability to produce lower and lower temperature is (1) 4, 1, 2, 3 (2) 4, 1, 3, 2 (2) 1, 4, 2, 3 (4) 1, 4, 3, 2

61. How do the coefficient of viscosity and coefficient of thermal conductivity of gas depend on absolute

temperature T respectively

(1) 1/2 1/4&T T (2) 1/2 1/2&T T (3) 1/2 &T T (4) 2 1/2&T T

62. The nth Brioullin zone consist a set of point out that can be reached from the origin by crossing

(1) n- (2) (n- (3) n bragg plane (4) n

63. Which one of following disintegration series of heavy elements will give 209 Bi at a stable nucleous (1) Thorium series (2) Neptenium Series (3) Uranium Series (4) Actinium Series

64. Consider a 3-D harmonic oscillator where 1 2 3, , 0,1,2n n n . Find the

temperature at which of 9

2energy level is equal to

7

2energy level

(1) (2) ln 4 / 3k

(3) ln 5 / 3k

(4)

65. Consider an ensemble of microscopic qt. mechanical system 1 2&E E where 1 2E E . Which of the

following graph will best describe the temperature dependence of average energy of system

66. The ground state of 20782 nucleas has spin parity while the first excited state has . The

electromagnetic radiation when nucleous makes transition from first excited state to the ground state (1) 1 2&E E (2) 2 3&M E (3) 2 3&E M (4) 2 3&M M


67. The normalized form of is

(1) (2) (3) (4)

68. The electric potential energy due to electric repulsion between two nuclei of 12 when they each other at surface is (1) 10.2 MeV (2) 8.2 MeV (3) 8 KeV (4) 8.2 KeV

69. Fig shows the intensity-wavelength relation of X-ray tube coming from two different Coolidge tube.

The solid curve represent the relation for tube A in which the potential difference between the target and filament is VA atomic number of target is ZA. These quantity are VB and ZB for other tube then,

(1) VA > VB , ZA > ZB (2) VA > VB, ZA < ZB (3) VA < VB, ZA > ZB (4) VA < VB, ZA < ZB

70. The magnetic moment of 3316 S in unit of nuclear magneton is

(1) 2.46 (2) 1.46 (3) 1.19 (4) 1.91

71. A solenoid of inductance 50mH & resistance is connected to battery 6V. The time elapsed before the current acquire half of its steady value

(1) 3.0 ms (2) 3.5 ms (3) 4.0 ms (4) 4.5 ms

72. At time the wave function for hydrogen atom is

The expectation value for energy of this system is

(1) 1 (2) 1 (3) 1 (4) 1

73. If are Dirac matrices then which of the relation is true

(1) 1

2x x y z (2) x x y z

(2) x x y y (4) 1

2x x y y

74. A mass m, move in circular orbit of radius under the influence of central force whose potential is

n

k

r. The condition for circular orbit at stable condition is

(1) (2) (3) (4)

75. The base of 7 8 38n m n is when

(1) n =16 (2) n =4 (3)n= 32 (4) n= 64

Documents

UGC POINT ACADEMY · 2019-10-23 · ugc point academy leading institue for csir-jrf/net, gate & jam booklet code subject code physical science full-length # 1 date: 7/11/2015 timing: