JEE MAINS TYPE 5

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JEE MAINS TYPE 5

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1. A body of mass 5 kg moves with speed 6 m/s. Find momentum (kg·m/s).

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2. Which of the following is a reducing agent?

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3. The shape of CO2 molecule is

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4. Sum of first 8 terms of AP with first term 6 and common difference 2 is

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5. A force of 40 N acts on mass 8 kg. Find acceleration (m/s^2).

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6. Midpoint of (4,6) and (8,10) is

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7. The magnetic field lines inside a bar magnet are directed

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8. Which quantity is scalar?

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9. Number of atoms in 0.5 mol of He (use NA≈6.022×10^23) in scientific notation (×10^23) rounded to 3 decimals.

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10. lim_(x→0) (sin(8x))/x equals

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11. In electrolysis of molten NaCl, product at cathode is

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12. The equivalent capacitance of capacitors in series is

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13. Which quantum number determines the shape of an orbital?

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14. If two forces act on a body and the net force is zero, the body must be

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15. The momentum of a photon of energy E is

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16. For an endothermic reaction, increasing temperature shifts equilibrium

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17. Which device measures potential difference?

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18. For a body in free fall (neglect air resistance), mechanical energy is

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19. If log_10(1000)=3, then log_10(10^5) equals

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20. For parabola y^2 = 4ax, the directrix is

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21. The de Broglie wavelength decreases when

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22. The hybridization of central atom in SF6 is

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23. A 9 V battery is connected to a 3 Ω resistor. Find current (A).

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24. Circle x^2 + y^2 = 36 has radius

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25. pH of 1×10^-3 M HNO3 (strong acid, ideal) is

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26. In SHM, total energy is proportional to

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27. The number of sigma bonds in benzene is

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28. Number of permutations of letters in word ‘LEVEL’ is

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29. If (x−2)(x−9)=0, find x^2 (when x is the larger root).

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30. Evaluate: (15×14×13)/(3×2×1).

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31. Principal value of sin^{-1}(1) is

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32. Oxidation state of N in NH4+ is

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33. A convex mirror always forms an image that is

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34. Which is the correct increasing order of metallic character across period 3?

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35. If a vector has components (3,4,12), find its magnitude (nearest integer).

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36. Which of the following is a Lewis base?

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37. The oxidation state of Cr in K2Cr2O7 is

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38. For quadratic equation x^2 − 2x + 3 = 0, the discriminant (b^2−4ac) equals

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39. The focal length of a lens is 25 cm. The power (in dioptres) is

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40. If current through a wire doubles, the heat produced in same time (Joule’s law) becomes

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41. A fair coin is tossed 4 times. Number of outcomes is

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42. ∫ 9x^8 dx equals

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43. The SI unit of magnetic field B is

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44. A body moving with constant speed in a circle has acceleration because

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45. If vector v = 5i + 4j + 4k, then |v|^2 equals

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46. If y = x^3, find dy/dx at x=2.

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47. Which of the following is an example of a buffer solution?

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48. The correct order of bond strength is

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49. For ideal gas, if n=2 mol, T=300 K, R=0.082 L·atm/mol·K, then PV (L·atm) is

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50. The order of reaction is equal to sum of

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51. A capacitor C=5 μF is charged to V=20 V. Find energy stored in μJ.

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52. For a reaction, ΔG° is related to equilibrium constant K by

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53. The refractive index of a medium is maximum when speed of light in it is

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54. Coefficient of x^2 in (1+x)^9 is

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55. Which of the following is a biodegradable polymer?

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56. In coordination compounds, ligands donate

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57. Evaluate: ∫_1^2 (1/x) dx (rounded to 3 decimals).

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58. In an AC circuit, the device that opposes change in current is

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59. Which of the following is an example of SN1 reaction?

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60. Molarity when 0.75 mol solute is present in 1.5 L solution is

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61. Which of the following is NOT a colligative property?

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62. Derivative of sin x is

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63. If P(A)=0.6, P(B)=0.5 and A,B independent, then P(A|B) equals

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64. Trace of matrix [[4,1],[2,6]] is

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65. In Young’s double slit experiment, fringe width is directly proportional to

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66. A wave has speed 340 m/s and wavelength 2 m. Find frequency (Hz).

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67. The work done by friction is generally

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68. Value of ∑_{r=1}^5 r is

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69. If z = 5+1i, then conjugate of z is

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70. Determinant of upper triangular matrix diag(3,3,5) is

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71. A pure semiconductor at 0 K behaves as

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72. The conjugate base of H2CO3 is

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73. Equation of line with slope 4 passing through (5,3) is

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74. SI unit of electric charge is

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75. The strongest intermolecular force among the following is

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