Total Questions90
Attempted0 / 90
Physics

1. The dimensional formula for $\dfrac{L}{R}$ (where $L$ is inductance and $R$ is resistance) is same as that of:

Physics

2. The displacement of a particle is given by $x = t^3 - 3t^2 + 2$. The acceleration of the particle when its velocity is zero is:

Physics

3. A car of mass $1000\text{ kg}$ is moving on a circular unbanked track of radius $40\text{ m}$. If the coefficient of friction is $0.4$, the maximum safe speed is ($g = 10\text{ m/s}^2$):

Physics

4. A force $F = (5 + 2x)$ acts on a particle in the x-direction. The work done by this force during a displacement from $x = 0$ to $x = 2\text{ m}$ is:

Physics

5. A ball of mass $0.2\text{ kg}$ strikes a wall normally with a speed of $15\text{ m/s}$ and rebounds with a speed of $10\text{ m/s}$. The impulse of the force exerted by the wall is:

Physics

6. If a wire is stretched to increase its length by $10\%$, its resistance will increase by approximately:

Physics

7. A cyclist taking a turn on a circular track of radius $r$ at a velocity $v$ leans inward by an angle $\theta$ given by:

Physics

8. The escape velocity of a body from the earth depends on the angle of projection $\theta$ as:

Physics

9. For a particle executing SHM, the kinetic energy is maximum at:

Physics

10. Two liquids of densities $\rho_1$ and $\rho_2$ are mixed in equal masses. The density of the mixture is:

Physics

11. $50\text{ g}$ of ice at $0^\circ\mathrm{C}$ is added to $50\text{ g}$ of water at $80^\circ\mathrm{C}$. The final temperature of the mixture is (Latent heat of ice $= 80\text{ cal/g}$):

Physics

12. When $n$ identical cells each of emf $E$ and internal resistance $r$ are connected in parallel across an external resistance $R$, the current is:

Physics

13. At what temperature will the RMS speed of oxygen molecules be double its value at $27^\circ\mathrm{C}$?

Physics

14. In an isothermal expansion of an ideal gas, the work done is equal to:

Physics

15. A parallel plate capacitor has a capacitance $C$. A dielectric slab of constant $K$ is fully inserted between the plates. The new capacitance is:

Physics

16. Three resistances of $2\ \Omega$, $3\ \Omega$, and $6\ \Omega$ are connected in parallel. Their equivalent resistance is:

Physics

17. The equation of a wave is $y = 2\sin(\pi(0.5x - 200t))$. The velocity of the wave is:

Physics

18. For a thin prism, the angle of minimum deviation is given by:

Physics

19. Two thin lenses of power $+5\text{ D}$ and $-2\text{ D}$ are placed in contact. The focal length of the combination is:

Physics

20. In Young's double slit experiment, if the amplitude ratio of the interfering waves is $2:1$, the ratio of maximum to minimum intensity is:

Physics

21. A charge $q$ is placed at the center of the open end of a cylindrical vessel. The flux of the electric field through the surface of the vessel is:

Physics

22. An alpha particle and a proton enter a uniform magnetic field with the same velocity perpendicular to the field. The ratio of the radii of their circular paths is:

Physics

23. Two coils have self-inductances $L_1$ and $L_2$. If the coupling coefficient is $k$, their mutual inductance $M$ is:

Physics

24. The power factor of an LCR series circuit at resonance is:

Physics

25. A closed organ pipe and an open organ pipe have the same fundamental frequency. The ratio of their lengths is:

Physics

26. In a nuclear reactor, heavy water is used as a:

Physics

27. The half-life of a radioactive substance is $10\text{ days}$. The time taken for $75\%$ of the sample to decay is:

Physics

28. The momentum of a photon of wavelength $\lambda$ is:

Physics

29. According to Curie's law, the magnetic susceptibility of a paramagnetic substance is:

Physics

30. A long straight wire carries a current of $10\text{ A}$. The magnetic field at a distance of $0.1\text{ m}$ from it is:

Chemistry

31. Molarity is defined as the number of moles of solute dissolved in:

Chemistry

32. Which of the following acids is commonly found in vinegar?

Chemistry

33. The Williamson synthesis is a widely used method for the preparation of:

Chemistry

34. If the empirical formula of a compound is $\mathrm{CH_2O}$ and its molar mass is $60\text{ g/mol}$, its molecular formula is:

Chemistry

35. What is the maximum number of electrons that can be accommodated in a p-subshell?

Chemistry

36. In an exothermic chemical reaction, heat is:

Chemistry

37. If the equilibrium constant ($K_c$) for a reaction is much greater than $1$, it indicates that at equilibrium:

Chemistry

38. Which of the following is an example of a colligative property?

Chemistry

39. What is the standard oxidation state of Sodium ($\mathrm{Na}$) in its compounds, such as $\mathrm{NaCl}$?

Chemistry

40. The SI unit of electric charge is the:

Chemistry

41. The "half-life" of a chemical reaction is the time required for the concentration of a reactant to decrease by:

Chemistry

42. Which element in the periodic table is the most electronegative?

Chemistry

43. According to VSEPR theory, the molecular shape of a water ($\mathrm{H_2O}$) molecule is:

Chemistry

44. In a molecule of methane ($\mathrm{CH_4}$), the carbon atom undergoes which type of hybridization?

Chemistry

45. The froth flotation process is a metallurgical method primarily used to concentrate:

Chemistry

46. What is the chemical formula for hydrogen peroxide?

Chemistry

47. Which of the following gases is essential for combustion and human respiration?

Chemistry

48. Zinc oxide ($\mathrm{ZnO}$) can react with both acids and bases. Therefore, it is classified as:

Chemistry

49. What is the oxidation state of Hydrogen in Hydrochloric acid ($\mathrm{HCl}$)?

Chemistry

50. Which of the following elements is classified as a transition metal (d-block)?

Chemistry

51. In the complex ion $[\mathrm{Cu(NH_3)_4}]^{2+}$, what is the coordination number of the central Copper ion?

Chemistry

52. A Grignard reagent is an organometallic compound commonly represented by the general formula:

Chemistry

53. Which of the following is considered a primary greenhouse gas responsible for global warming?

Chemistry

54. Aqueous solutions of pure, simple alcohols (like ethanol) are generally:

Chemistry

55. Sodium hydroxide ($\mathrm{NaOH}$) is a very common laboratory chemical. It is a:

Chemistry

56. The general chemical formula for non-cyclic alkanes is:

Chemistry

57. The characteristic functional group of an aldehyde is:

Chemistry

58. Plaster of Paris, widely used in medicine and construction, is manufactured by heating:

Chemistry

59. The gas commonly known as "laughing gas" is:

Chemistry

60. A solution with a $\mathrm{pH}$ value of $2$ is considered:

English
Reading Passage:

Space exploration has always captured the human imagination. From the early days of stargazing to the monumental Apollo moon landings, the quest to understand the cosmos has driven technological innovation. Today, the focus has shifted towards deep space missions, with Mars being the primary target for future colonization. Private companies have entered the fray, drastically reducing the cost of space travel through reusable rockets. While some argue that the billions spent on space could be better utilized to solve terrestrial problems like poverty and climate change, proponents believe that becoming a multi-planetary species is essential for the long-term survival of humanity.

61. The primary focus of modern space exploration according to the passage is:

English
Reading Passage:

Space exploration has always captured the human imagination. From the early days of stargazing to the monumental Apollo moon landings, the quest to understand the cosmos has driven technological innovation. Today, the focus has shifted towards deep space missions, with Mars being the primary target for future colonization. Private companies have entered the fray, drastically reducing the cost of space travel through reusable rockets. While some argue that the billions spent on space could be better utilized to solve terrestrial problems like poverty and climate change, proponents believe that becoming a multi-planetary species is essential for the long-term survival of humanity.

62. How have private companies impacted space travel?

English
Reading Passage:

Space exploration has always captured the human imagination. From the early days of stargazing to the monumental Apollo moon landings, the quest to understand the cosmos has driven technological innovation. Today, the focus has shifted towards deep space missions, with Mars being the primary target for future colonization. Private companies have entered the fray, drastically reducing the cost of space travel through reusable rockets. While some argue that the billions spent on space could be better utilized to solve terrestrial problems like poverty and climate change, proponents believe that becoming a multi-planetary species is essential for the long-term survival of humanity.

63. What is a major criticism against space exploration mentioned in the text?

English
Reading Passage:

Space exploration has always captured the human imagination. From the early days of stargazing to the monumental Apollo moon landings, the quest to understand the cosmos has driven technological innovation. Today, the focus has shifted towards deep space missions, with Mars being the primary target for future colonization. Private companies have entered the fray, drastically reducing the cost of space travel through reusable rockets. While some argue that the billions spent on space could be better utilized to solve terrestrial problems like poverty and climate change, proponents believe that becoming a multi-planetary species is essential for the long-term survival of humanity.

64. Proponents of space exploration argue that it is necessary for:

English
Reading Passage:

Space exploration has always captured the human imagination. From the early days of stargazing to the monumental Apollo moon landings, the quest to understand the cosmos has driven technological innovation. Today, the focus has shifted towards deep space missions, with Mars being the primary target for future colonization. Private companies have entered the fray, drastically reducing the cost of space travel through reusable rockets. While some argue that the billions spent on space could be better utilized to solve terrestrial problems like poverty and climate change, proponents believe that becoming a multi-planetary species is essential for the long-term survival of humanity.

65. The word "monumental" in the passage most closely means:

English

66. Choose the synonym of: CANDID

English

67. Choose the synonym of: DILIGENT

English

68. Choose the synonym of: EPHEMERAL

English

69. Choose the synonym of: VINDICATE

English

70. Choose the synonym of: LUCID

English

71. She has been living in this city ________ 2015.

English

72. If I ________ rich, I would travel the world.

English

73. He insisted ________ paying the bill.

English

74. The committee ________ divided in their opinion.

English

75. You had better ________ a doctor immediately.

English

76. Choose the antonym of: AMBIGUOUS

English

77. Choose the antonym of: BARREN

English

78. Choose the antonym of: BENIGN

English

79. Choose the antonym of: EXPAND

English

80. Choose the antonym of: REVEAL

English

81. What is the meaning of: "Once in a blue moon:"

English

82. What is the meaning of: "Break the ice:"

English

83. What is the meaning of: "A piece of cake:"

English

84. What is the meaning of: "Under the weather:"

English

85. What is the meaning of: "Hit the nail on the head:"

English

86. Choose the odd word out:

English

87. Choose the odd word out:

English

88. Choose the odd word out:

English

89. Choose the odd word out:

English

90. Choose the odd word out: