JEE MAINS TYPE 2

1. The minimum value of x^2 + 4/x for x>0 is:

2. Distance of point (3,4) from line 3x+4y-10=0 is:

3. Equation of circle with diameter endpoints (0,0) and (4,6) is:

4. Which reagent converts an aldehyde to primary alcohol?

5. If 7C2 = nC2, find n.

6. If f(x)=|x-2|, then f is NOT differentiable at:

7. Distance between points (1,2,3) and (4,6,3) is:

8. A physical quantity has dimensions [M^0 L^1 T^-2]. It corresponds to:

9. In photoelectric effect, stopping potential depends on:

10. Limit as x→0 of (sin 5x)/(x) is:

11. IUPAC name of CH3-CH2-CHO is:

12. Which of the following has highest boiling point?

13. Solve for x>0: log_2(x) + log_2(x/8) = 5. (Answer as integer)

14. If z = (1+i)/(1-i), then |z| equals:

15. Number of 5-digit numbers formed using digits 1,2,3,4,5,6 without repetition and divisible by 5 is:

16. A 2 kg block is lifted vertically by 5 m. Take g=10 m/s^2. Work done against gravity (J) is:

17. Determinant of the matrix [[2,1,3],[1,0,2],[4,1,5]] is:

18. Among the following, strongest intermolecular hydrogen bonding is in:

19. Moment of inertia of a thin ring of mass M and radius R about its diameter is:

20. A fair die is thrown twice. Probability that the sum is 9 is:

21. General solution of dy/dx = y is:

22. For first order reaction, if t1/2 = 10 min, rate constant k (in min^-1) is approximately 0.693/10. Round to 2 decimals and then as integer of hundredths (e.g., 0.07→7).

23. Which compound shows geometrical isomerism?

24. If sinθ = 3/5 and θ is acute, then tanθ equals:

25. If the sum of first n terms of an AP is S_n = 3n^2 + 2n, then the 10th term is:

26. In a stationary wave on a string, the distance between two consecutive nodes is:

27. Oxidation state of Mn in KMnO4 is:

28. The monomer unit of PVC is:

29. Let A={1,2,3,4,5}. Number of non-empty subsets of A having an odd sum is:

30. If 0.5 mol of ideal gas is present at 300 K and R=0.082 L·atm·mol^-1·K^-1, pressure when volume is 12.3 L is (atm). Round to nearest integer.

31. The coordination number of Fe in [Fe(CN)6]4- is:

32. pH of 0.01 M HCl solution (at 25°C) is:

33. A particle starts from rest and moves with constant acceleration a. Its displacement in time t is:

34. The major product of dehydration of 2-butanol is:

35. If α and β are roots of x^2 – 6x + k = 0 and α^2 + β^2 = 20, then k is:

36. A perfectly elastic head-on collision occurs between two equal masses, one moving with speed u and the other at rest. After collision, the speed of the initially moving mass becomes:

37. Hybridization of central atom in SF6 is:

38. A convex lens forms an image of an object at a distance 30 cm on the other side when the object is 15 cm in front. Find focal length (cm).

39. For an ideal gas in an isothermal process, the change in internal energy ΔU is:

40. A block of mass m is on a rough horizontal surface (coefficient of friction μ). The minimum horizontal force required to just start motion is:

41. Which of the following has maximum first ionization enthalpy?

42. Coefficient of x^5 in (1+2x)^8 is:

43. Value of ∫_0^1 (1/(1+x^2)) dx is:

44. Which of the following is a reducing sugar?

45. For SHM x=A sin(ωt), the maximum acceleration is:

46. If the mean of numbers 2, 5, x, 11, 17 is 9, find x.

47. Work done by centripetal force in uniform circular motion over one complete revolution is:

48. A body moves with acceleration 2 m/s^2 for 5 s starting from rest. Find its final speed (m/s).

49. Two capacitors C and 2C are connected in series. Equivalent capacitance is:

50. For a convex lens, if object is placed at 2f, the image is formed at:

51. Electric field at the centre of a uniformly charged ring is:

52. Rate law: rate = k[A]^2[B]. The overall order of reaction is:

53. Induced emf in a coil is given by:

54. Two trains move in the same direction with speeds 54 km/h and 36 km/h. Time taken by the faster train (length 180 m) to completely pass a 120 m long slower train is:

55. Calculate molar mass of CaCO3 (Ca=40, C=12, O=16).

56. For reaction N2(g)+3H2(g)⇌2NH3(g), decreasing volume at constant temperature shifts equilibrium:

57. Number of significant figures in 0.004050 is:

58. For parabola y^2=8x, the length of latus rectum is:

59. Energy stored (in joule) in a 2 μF capacitor charged to 100 V is (use 1 μF = 10^-6 F). Give answer as integer in mJ.

60. ∫ (2x)/(x^2+1) dx equals:

61. If a=(1,2,2) and b=(2,1,-2), then a·b equals:

62. Force on a charge q moving with velocity v perpendicular to uniform magnetic field B is:

63. A 6 Ω resistor and 3 Ω resistor are connected in parallel. Equivalent resistance (Ω) is:

64. For ideal gas, compressibility factor Z equals:

65. Number of neutrons in 35Cl (atomic number 17) is:

66. Evaluate the determinant | 1 2 3; 0 1 4; 5 6 0 | (nearest integer).

67. pOH of 1×10^-3 M NaOH solution is:

68. Benzene undergoes nitration in presence of:

69. For a streamline flow of incompressible fluid, if area of cross-section halves, the speed becomes:

70. Root mean square speed of molecules of an ideal gas is proportional to:

71. If f(x)=x^3-3x, then the number of real roots of f(x)=0 is:

72. A cell of emf E and internal resistance r is connected to external resistance R. The current is:

73. Which of the following is amphoteric oxide?

74. In electrochemical cell, the unit of cell constant is:

75. Escape speed from the surface of a planet of mass M and radius R is: