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Physics

1. The dimension of $\dfrac{\text{Planck's Constant}}{\text{Angular Momentum}}$ is the same as that of:

Physics

2. The position of an object is given by $x = 2t^2 + 3t$. Its motion would be:

Physics

3. An athlete completes one round of a circular track of diameter $100\text{ m}$ in $20\text{ s}$. What will be the displacement after $1\text{ minute}$ and $10\text{ seconds}$ respectively?

Physics

4. Work is said to be $1\text{ Joule}$ when a force of:

Physics

5. Sand falls vertically on a conveyor belt at a rate of $0.1\text{ kg/s}$. In order to keep the belt moving at a uniform speed of $2\text{ m/s}$, the force required to be applied on the belt is:

Physics

6. We are given three copper wires of different lengths and different areas of cross-section. Which one of the following would have highest resistivity?

Physics

7. Consider a truck of mass $500\text{ kg}$ taking a turn around a banked frictionless road of radius $40\text{ m}$. If the maximum velocity the truck can achieve is $20\text{ m/s}$, the angle of banking should be:

Physics

8. A geostationary satellite is orbiting the earth at a height of $7R$ above the surface of the earth, $R$ being the radius of the earth. The time period of another satellite at a height of $3R$ from the surface of the earth is:

Physics

9. A particle is executing SHM of amplitude $A$ along the $x$-axis about $x=0$. When its potential energy is equal to kinetic energy, the position of the particle will be:

Physics

10. Two substances of densities $\rho_1$ and $\rho_2$ are mixed in equal volumes and their relative density is $4$. When they are mixed in equal masses, the relative density is $3$. The values of $\rho_1$ and $\rho_2$ respectively are:

Physics

11. $10\text{ g}$ of ice at $-10^\circ\text{C}$ is mixed with $10\text{ g}$ of water at $0^\circ\text{C}$. The amount of heat required to raise the temperature of the mixture to $10^\circ\text{C}$ is:

Physics

12. When a short circuit condition occurs, the current in the circuit:

Physics

13. The RMS speed of oxygen at room temperature is about $500\text{ m/s}$. The RMS speed of hydrogen at the same temperature is:

Physics

14. The ratio of specific heats in terms of degrees of freedom ($n$) is given by:

Physics

15. A dielectric of dielectric constant $K$ is introduced such that half of the area of a capacitor of capacitance $C$ is occupied by it. The new capacitance is:

Physics

16. A thin wire of resistance $4\,\Omega$ is bent to form a circle. The resistance across any diameter is:

Physics

17. Four resistors, $100\,\Omega, 200\,\Omega, 300\,\Omega$ and $400\,\Omega$ are connected to form the four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance across the diagonal of the square?

Physics

18. The equation of a progressive wave is given by $y = 15\sin(660\pi t - 0.02\pi x)\text{ cm}$. The frequency of the wave is:

Physics

19. A spherical convex surface of power $5\text{ D}$ separates object and image space of refractive indices $1.0$ and $4/3$ respectively. The radius of curvature of the surface is:

Physics

20. An interference pattern is obtained with two coherent sources of intensity ratio $n:1$. The ratio $\dfrac{I_{\max} - I_{\min}}{I_{\max} + I_{\min}}$ will be maximum if:

Physics

21. A positive charge $Q$ is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units):

Physics

22. A proton of mass $m$ moving with a speed $v$ ($v \ll c$, velocity of light in vacuum) completes a circular orbit in time $T$ in a uniform magnetic field. If the speed of the proton is increased to $\sqrt{2}\,v$, what will be the time needed to complete the circular orbit?

Physics

23. Two coils of self-inductances $6\text{ mH}$ and $8\text{ mH}$ are connected in series and are adjusted for highest coefficient of coupling. Equivalent self-inductance $L$ for the assembly is approximately:

Physics

24. An alternating current is flowing through a series $L$-$C$-$R$ circuit. It is found that the current reaches a value of $1\text{ mA}$ at both $200\text{ Hz}$ and $800\text{ Hz}$ frequency. What is the resonance frequency of the circuit?

Physics

25. A hollow cylinder with both sides open generates a frequency $f$ in air. When the cylinder is vertically immersed into water by half its length, the frequency will be:

Physics

26. For nuclei with mass numbers close to $119$ and $238$, the binding energies per nucleon are approximately $7.6\text{ MeV}$ and $8.6\text{ MeV}$, respectively. If a nucleus of mass number $238$ breaks into two nuclei of nearly equal masses, what will be the approximate amount of energy released in the process of fission?

Physics

27. If the half-life of a radioactive nucleus is $3\text{ days}$, nearly what fraction of the initial number of nuclei will decay on the third day? (Given: $\sqrt[3]{0.25} \approx 0.63$)

Physics

28. $10^{20}$ photons of wavelength $660\text{ nm}$ are emitted per second from a lamp. The wattage of the lamp is ($h = 6.6 \times 10^{-34}\text{ J}\cdot\text{s}$):

Physics

29. The Curie temperatures of cobalt and iron are $1400\text{ K}$ and $1000\text{ K}$ respectively. At $T = 1600\text{ K}$, the ratio of magnetic susceptibility of cobalt to that of iron is:

Physics

30. A coil having $9\text{ turns}$ carrying a current produces magnetic field $B_1$ at the centre. Now the coil is rewounded into $3\text{ turns}$ carrying same current. Then, the magnetic field at the centre $B_2 =$

Chemistry

31. Dissolving $120\text{ g}$ of urea in $1000\text{ g}$ of water gave a solution of density $1.15\text{ g/mL}$. The molarity of the solution is:

Chemistry

32. Among the following, which is least acidic?

Chemistry

33. Anisole can be prepared by the action of methyl iodide on sodium phenate. The reaction is called:

Chemistry

34. $0.48\text{ g}$ of an organic compound on complete combustion produced $0.22\text{ g}$ of $\mathrm{CO_2}$. The percentage of $\mathrm{C}$ in the given organic compound is:

Chemistry

35. The number of orbitals associated with the 'N' shell of an atom is:

Chemistry

36. When the same quantity of heat is absorbed by the system at two different temperatures $T_1$ and $T_2$, such that $T_1 > T_2$, change in entropies are $\Delta S_1$ and $\Delta S_2$ respectively. Then:

Chemistry

37. $1\text{ mole}$ of $\mathrm{HI}$ is heated in a closed container of capacity $2\text{ L}$. At equilibrium, half a mole of $\mathrm{HI}$ is dissociated. The equilibrium constant of the reaction is:

Chemistry

38. A mixture of phenol and aniline shows negative deviation from Raoult's law. This is due to the formation of:

Chemistry

39. In which of the following compounds, an element exhibits two different oxidation states?

Chemistry

40. How many coulombs are required to oxidise $0.1\text{ mole}$ of $\mathrm{H_2O}$ to oxygen?

Chemistry

41. For $n^{\text{th}}$ order of reaction, half-life is directly proportional to:

Chemistry

42. The property of halogens which is not correctly matched is:

Chemistry

43. The formal charge on the central oxygen atom in ozone is:

Chemistry

44. The state of hybrid orbitals of carbon in $\mathrm{CO_2}$, $\mathrm{CH_4}$ and $\mathrm{CO_3^{2-}}$ respectively is:

Chemistry

45. Copper is extracted from copper pyrites by:

Chemistry

46. The function of potassium ethyl xanthate in froth floatation process is to make the ore:

Chemistry

47. $\mathrm{H_2O_2}$ is:

Chemistry

48. Which of the following metallic oxide exhibits amphoteric nature?

Chemistry

49. What is the oxidation number of $\mathrm{S}$ in $\mathrm{H_2S_2O_8}$?

Chemistry

50. What will be the value of $x$ in $\mathrm{Fe}^{x+}$, if the magnetic moment $\mu = \sqrt{24}\text{ BM}$?

Chemistry

51. In the complex ion $[\mathrm{Fe(C_2O_4)_3}]^{3-}$, the co-ordination number of $\mathrm{Fe}$ is:

Chemistry

52. Which of the following is an organometallic compound?

Chemistry

53. Which of the following is not a green house gas?

Chemistry

54. Arrange benzene, $n$-hexane and ethyne in decreasing order of their acidic behavior:

Chemistry

55. Which of the following is the strongest base?

Chemistry

56. The hydrocarbon which can react with sodium in liquid ammonia is:

Chemistry

57. Hydrolysis of a cyanohydrin derivative produces:

Chemistry

58. The setting time of cement is lowered by adding:

Chemistry

59. Which one of the following oxides of nitrogen is known as the 'anhydride' of nitric acid?

Chemistry

60. The $\text{pH}$ of $0.01\text{ N}$ lime water is:

English
Reading Passage:

The achievement of science in the twentieth century has been very great. Its influence can be felt in every sphere of life. From the small pins and needles to the huge iron sheets and joints most of the things we require for our everyday use come out of factories where scientific principles are utilized for practical ends. Science has enabled man to bring forces of nature under control and to use them for his own advantage. It has brought the distant parts of the world close together. Our knowledge of the universe has been much widened on account of the untiring efforts of the astronomers like Jeans and Eddington. Remarkable cures of human diseases have been possible owing to the discovery of some wonderful medicines.

61. The main idea of the passage is:

English
Reading Passage:

The achievement of science in the twentieth century has been very great. Its influence can be felt in every sphere of life. From the small pins and needles to the huge iron sheets and joints most of the things we require for our everyday use come out of factories where scientific principles are utilized for practical ends. Science has enabled man to bring forces of nature under control and to use them for his own advantage. It has brought the distant parts of the world close together. Our knowledge of the universe has been much widened on account of the untiring efforts of the astronomers like Jeans and Eddington. Remarkable cures of human diseases have been possible owing to the discovery of some wonderful medicines.

62. The mode of approach is:

English
Reading Passage:

The achievement of science in the twentieth century has been very great. Its influence can be felt in every sphere of life. From the small pins and needles to the huge iron sheets and joints most of the things we require for our everyday use come out of factories where scientific principles are utilized for practical ends. Science has enabled man to bring forces of nature under control and to use them for his own advantage. It has brought the distant parts of the world close together. Our knowledge of the universe has been much widened on account of the untiring efforts of the astronomers like Jeans and Eddington. Remarkable cures of human diseases have been possible owing to the discovery of some wonderful medicines.

63. What has enabled man to harness the forces of nature to the advantage of mankind?

English
Reading Passage:

The achievement of science in the twentieth century has been very great. Its influence can be felt in every sphere of life. From the small pins and needles to the huge iron sheets and joints most of the things we require for our everyday use come out of factories where scientific principles are utilized for practical ends. Science has enabled man to bring forces of nature under control and to use them for his own advantage. It has brought the distant parts of the world close together. Our knowledge of the universe has been much widened on account of the untiring efforts of the astronomers like Jeans and Eddington. Remarkable cures of human diseases have been possible owing to the discovery of some wonderful medicines.

64. Science has proved a great boon for:

English
Reading Passage:

The achievement of science in the twentieth century has been very great. Its influence can be felt in every sphere of life. From the small pins and needles to the huge iron sheets and joints most of the things we require for our everyday use come out of factories where scientific principles are utilized for practical ends. Science has enabled man to bring forces of nature under control and to use them for his own advantage. It has brought the distant parts of the world close together. Our knowledge of the universe has been much widened on account of the untiring efforts of the astronomers like Jeans and Eddington. Remarkable cures of human diseases have been possible owing to the discovery of some wonderful medicines.

65. The most appropriate title for the passage will be:

English

66. Choose the synonym of: OBNOXIOUS

English

67. Choose the synonym of: DEFERENCE

English

68. Choose the synonym of: ABROGATE

English

69. Choose the synonym of: PARADOX

English

70. Choose the synonym of: CENSURE

English

71. The flash of the torch ________ a cobra.

English

72. He held ________ to the books passionately.

English

73. She stood ________ the crowd quite amazed.

English

74. He was caught red-handed and could not ________ the charges.

English

75. It'll rain soon, ________?

English

76. Choose the antonym of: OSTRACISE

English

77. Choose the antonym of: DENSE

English

78. Choose the antonym of: FETTER

English

79. Choose the antonym of: HARMONY

English

80. Choose the antonym of: MYTH

English

81. What is the meaning of: "under a cloud"

English

82. What is the meaning of: "face the music"

English

83. What is the meaning of: "all at sea"

English

84. What is the meaning of: "The story does not hold water."

English

85. What is the meaning of: "His statement is an out-and-out lie."

English

86. Choose the correct word for: hate, detest, loathe

English

87. Choose the correct word for: decorate, beautify, adorn

English

88. Choose the correct word for: support, strengthen, reinforce

English

89. Choose the correct word for: reduce, shrink, lessen

English

90. Choose the correct word for: confuse, puzzle, baffle