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Physics

1. Dimensional formula of Mass Density:

Physics

2. Vectors $\vec{A}$, $\vec{B}$ and $\vec{C}$ are such that $\vec{A}\cdot\vec{B} = 0$ and $\vec{A}\cdot\vec{C} = 0$. Then the vector parallel to $\vec{A}$ is:

Physics

3. A vehicle travels half the distance with speed $v$ and the remaining distance with speed $2v$. Its average speed is:

Physics

4. Which one of the following statements is incorrect?

Physics

5. A bullet of mass $m$ hits a block of mass $M$ elastically. The transfer of energy is maximum when:

Physics

6. The work done to raise a mass $m$ from the surface of the earth to a height $h$, which is equal to the radius of the earth is:

Physics

7. The potential energy of a system increases if work is done:

Physics

8. The angular speed of a fly wheel moving with uniform angular acceleration changes from $1200\text{ rpm}$ to $3120\text{ rpm}$ in $16\text{ seconds}$. The angular acceleration in $\text{rad/s}^2$ is:

Physics

9. A wire has a Young's modulus of $2 \times 10^{11}\text{ Pa}$. If a stress of $4 \times 10^7\text{ Pa}$ is applied, what is the strain produced in the wire?

Physics

10. Which of the following is a periodic function?

Physics

11. Water is flowing through a horizontal pipe in a streamline flow. At the narrowest part of the pipe:

Physics

12. The loudness of sound is related to:

Physics

13. The average thermal energy for a mono-atomic gas is ($k_B$ is Boltzmann constant and $T$ absolute temperature):

Physics

14. The efficiency of an ideal heat engine working between the freezing point and boiling point of water is:

Physics

15. Which one of the following is the SI unit of the thermal conductivity of a material?

Physics

16. The value of electric potential at a distance of $9\text{ cm}$ from the point charge $4 \times 10^{-7}\text{ C}$ is (Given $\dfrac{1}{4\pi\varepsilon_0} = 9 \times 10^9\text{ N}\cdot\text{m}^2\cdot\text{C}^{-2}$):

Physics

17. A charged particle having drift velocity $7.5 \times 10^{-4}\text{ m/s}$ in an electric field of $3 \times 10^{-10}\text{ V/m}$ has a mobility in $\text{m}^2\cdot\text{V}^{-1}\cdot\text{s}^{-1}$ of:

Physics

18. Three capacitors each of capacitance $C$ and of breakdown voltage $V$ are joined in series. The capacitance and breakdown voltage of the combination will be:

Physics

19. The resistance of a coil for d.c. is $5\ \Omega$. In a.c., the resistance will:

Physics

20. What is the net force experienced by a bar magnet placed in a uniform magnetic field?

Physics

21. The magnetic susceptibility is negative for:

Physics

22. A square loop of side $1\text{ m}$ and resistance $1\ \Omega$ is placed in a magnetic field of $0.5\text{ T}$. If the plane of loop is perpendicular to the direction of magnetic field, the magnetic flux through the loop is:

Physics

23. When a P-N junction is forward-biased then:

Physics

24. What is the value of Planck constant in erg unit?

Physics

25. What was true about the energy of alpha particle in Rutherford's experiment?

Physics

26. X-rays are electromagnetic radiation whose wavelengths are of the order of:

Physics

27. If the image of an object formed by a concave mirror is virtual, erect and magnified, then the object is placed:

Physics

28. Two lenses of focal lengths $10\text{ cm}$ and $20\text{ cm}$ are placed in contact. What is their effective focal length?

Physics

29. In biprism experiment the maximum intensity is '$I_0$'. If the path difference between the two interfering waves is $\lambda/4$ then intensity at the point on the screen is:

Physics

30. The half life of a radioactive nuclide is $100\text{ hours}$. The fraction of original activity that will remain after $150\text{ hours}$ would be:

Chemistry

31. How many molecules are there in $3\text{ moles}$ of oxygen ($\mathrm{O_2}$)?

Chemistry

32. Why is the determination of the exact size of an atom difficult?

Chemistry

33. What is the primary valency of: (a) $\mathrm{CoCl_3\cdot 5H_2O}$, (b) $\mathrm{CoCl_3\cdot 4H_2O}$, (c) $\mathrm{CoCl_3\cdot 3H_2O}$?

Chemistry

34. Identify the conditions at which van der Waals' equation of state changes to ideal gas equation:

Chemistry

35. What is the correct expression for the rate of a chemical reaction according to collision theory?

Chemistry

36. Pick the correct statement:

Chemistry

37. At $25^\circ\mathrm{C}$, $K_a$ of formic acid is $1.8 \times 10^{-4}$. What is the $K_b$ of $\mathrm{HCOO^-}$?

Chemistry

38. Calculate heat of formation of $\mathrm{SO_2}$ from following equations: (1) $\mathrm{S + \frac{3}{2}O_2 \longrightarrow SO_3}$, $\Delta H = -2x\text{ kJ}$; (2) $\mathrm{SO_2 + \frac{1}{2}O_2 \longrightarrow SO_3}$, $\Delta H = -y\text{ kJ}$

Chemistry

39. For $A + B \rightarrow \text{products}$, the rate of the reaction is given by $\text{rate} = k[A][B]^2$. The units of rate constant ($k$) will be:

Chemistry

40. The reduction potential of hydrogen half-cell will be negative if:

Chemistry

41. Which of the following oxides is most acidic in nature?

Chemistry

42. A molecule has T-shape. The total number of electron pairs in the valence shell of central atom of it is:

Chemistry

43. The metal which can be used to obtain metallic $\mathrm{Cu}$ from aqueous $\mathrm{CuSO_4}$ solution is:

Chemistry

44. The type of iron obtained from blast furnace in the extraction of iron is:

Chemistry

45. Which one of the following alkaline earth metals does not form hydride when it is heated with hydrogen directly?

Chemistry

46. The acid in which $O-O$ bonding is present is:

Chemistry

47. A solution of $NaNO_2$ when treated with a mixture of Zn dust and 'A' yields ammonia. 'A' can be:

Chemistry

48. What is the coordination number of the metal in $[\mathrm{Co(en)_2Cl_2}]^+$?

Chemistry

49. In the IUPAC system, $PhCH_2CH_2CO_2H$ is named as:

Chemistry

50. Which structure has delocalized $\pi$-electrons?

Chemistry

51. Alcohols with molecular formula $C_5H_{12}O$ are isomeric with:

Chemistry

52. The isomerization of 1-butyne to 2-butyne can be achieved by treatment with:

Chemistry

53. The preferred reagent for the preparation of pure alkyl chloride from alcohol is:

Chemistry

54. Which of the following compounds would not react with Lucas reagent at room temperature?

Chemistry

55. The heating of phenyl methyl ether with HI produces:

Chemistry

56. Reaction between benzaldehyde and acetophenone in presence of dilute NaOH is known as:

Chemistry

57. In the following sequence of reactions, what is the end product (D)? $C_2H_5Br \xrightarrow{KCN} A \xrightarrow{H_3O^+} B$

Chemistry

58. The relative basic strength of the compounds is correctly shown in the option:

Chemistry

59. In which polymer preparation, Ziegler-Natta catalyst is used?

Chemistry

60. Artificial sweetener which is stable under cold conditions only is:

English
Reading Passage:

In an effort to produce the largest, fastest and most luxurious ship afloat, the British built the S.S. Titanic. It was so superior to anything else on the seas that it was dubbed unsinkable. So sure of this were the owners that they provided only twenty life boats and rafts, less than one-half the number needed for the 2227 passengers on board. Many passengers were abroad the night it rammed an iceberg only two days at sea and more than halfway between England and its New York destination. Because the luxury liner was travelling so fast, it was impossible to avoid the ghostly looking iceberg. An unextinguished fire also contributed to the ship's submersion. Panic increased the number of casualties as people jumped into the icy water or fought to be among the few to board the life boats. Four hours after the mishap another ship, the Carpathia, rescued 705 survivors. The infamous S.S. Titanic had enjoyed only two days of sailing glory on its maiden voyage in 1912 before plunging into 12000 feet of water near the coast of Newfoundland where it lies today.

61. All of the following are true except that

English
Reading Passage:

In an effort to produce the largest, fastest and most luxurious ship afloat, the British built the S.S. Titanic. It was so superior to anything else on the seas that it was dubbed unsinkable. So sure of this were the owners that they provided only twenty life boats and rafts, less than one-half the number needed for the 2227 passengers on board. Many passengers were abroad the night it rammed an iceberg only two days at sea and more than halfway between England and its New York destination. Because the luxury liner was travelling so fast, it was impossible to avoid the ghostly looking iceberg. An unextinguished fire also contributed to the ship's submersion. Panic increased the number of casualties as people jumped into the icy water or fought to be among the few to board the life boats. Four hours after the mishap another ship, the Carpathia, rescued 705 survivors. The infamous S.S. Titanic had enjoyed only two days of sailing glory on its maiden voyage in 1912 before plunging into 12000 feet of water near the coast of Newfoundland where it lies today.

62. All of the following contributed to the large death toll except

English
Reading Passage:

In an effort to produce the largest, fastest and most luxurious ship afloat, the British built the S.S. Titanic. It was so superior to anything else on the seas that it was dubbed unsinkable. So sure of this were the owners that they provided only twenty life boats and rafts, less than one-half the number needed for the 2227 passengers on board. Many passengers were abroad the night it rammed an iceberg only two days at sea and more than halfway between England and its New York destination. Because the luxury liner was travelling so fast, it was impossible to avoid the ghostly looking iceberg. An unextinguished fire also contributed to the ship's submersion. Panic increased the number of casualties as people jumped into the icy water or fought to be among the few to board the life boats. Four hours after the mishap another ship, the Carpathia, rescued 705 survivors. The infamous S.S. Titanic had enjoyed only two days of sailing glory on its maiden voyage in 1912 before plunging into 12000 feet of water near the coast of Newfoundland where it lies today.

63. How many days was the S.S. Titanic at sea before sinking?

English
Reading Passage:

In an effort to produce the largest, fastest and most luxurious ship afloat, the British built the S.S. Titanic. It was so superior to anything else on the seas that it was dubbed unsinkable. So sure of this were the owners that they provided only twenty life boats and rafts, less than one-half the number needed for the 2227 passengers on board. Many passengers were abroad the night it rammed an iceberg only two days at sea and more than halfway between England and its New York destination. Because the luxury liner was travelling so fast, it was impossible to avoid the ghostly looking iceberg. An unextinguished fire also contributed to the ship's submersion. Panic increased the number of casualties as people jumped into the icy water or fought to be among the few to board the life boats. Four hours after the mishap another ship, the Carpathia, rescued 705 survivors. The infamous S.S. Titanic had enjoyed only two days of sailing glory on its maiden voyage in 1912 before plunging into 12000 feet of water near the coast of Newfoundland where it lies today.

64. "Maiden voyage" is closest in meaning to

English
Reading Passage:

In an effort to produce the largest, fastest and most luxurious ship afloat, the British built the S.S. Titanic. It was so superior to anything else on the seas that it was dubbed unsinkable. So sure of this were the owners that they provided only twenty life boats and rafts, less than one-half the number needed for the 2227 passengers on board. Many passengers were abroad the night it rammed an iceberg only two days at sea and more than halfway between England and its New York destination. Because the luxury liner was travelling so fast, it was impossible to avoid the ghostly looking iceberg. An unextinguished fire also contributed to the ship's submersion. Panic increased the number of casualties as people jumped into the icy water or fought to be among the few to board the life boats. Four hours after the mishap another ship, the Carpathia, rescued 705 survivors. The infamous S.S. Titanic had enjoyed only two days of sailing glory on its maiden voyage in 1912 before plunging into 12000 feet of water near the coast of Newfoundland where it lies today.

65. What does this passage convey?

English

66. Choose the synonym of: SUPERSTITIOUS

English

67. Choose the synonym of: MENTOR

English

68. Choose the synonym of: GARNISH

English

69. Choose the synonym of: INFRUCTUOUS

English

70. Choose the synonym of: FIDELITY

English

71. My book is the new one ________ is the torn one.

English

72. They needn't worry ________ ?

English

73. He is indifferent ________ praise and blame.

English

74. King George V's accession ________ the throne was celebrated with great pomp

English

75. If I hadn't come along at that moment Rahim ________ the one arrested instead of the real thief.

English

76. Choose the antonym of: EXODUS

English

77. Choose the antonym of: INQUISITIVE

English

78. Choose the antonym of: CANDID

English

79. Choose the antonym of: NADIR

English

80. Choose the antonym of: CULPABLE

English

81. What is the meaning of: "In cold blood"

English

82. What is the meaning of: "To take someone for a ride"

English

83. What is the meaning of: "To move heaven and earth"

English

84. What is the meaning of: "To smell a rat"

English

85. What is the meaning of: "To bolt from the blue"

English

86. Choose the correct word for: brave, fearless, bold

English

87. Choose the correct word for: quick, rapid, swift

English

88. Choose the correct word for: begin, start, commence

English

89. Choose the correct word for: fake, false, bogus

English

90. Choose the correct word for: honest, truthful, sincere