Engineering Questions — JEE Main
379 solved questions with detailed explanations
Q.56. At , 20.0 mL of 0.2 M weak monoprotic acid HX is titrated against 0.2 M NaOH. The pH of the solution (a) at the start of the titration (when NaOH has not been added) and (b) when 10 mL of NaOH i
Q.74. At 298 K, the molar conductivity of x% (w/w) MX solution (aqueous) is 123.5 S cm mol. The conductance of same solution is S. The value of x is ______ . (Given : cell constant = 1.3 cm; molar ma
Q.57. An electrochemical cell is constructed using half cells in the direction of spontaneous change Fe(OH)(s) + 2e Fe(s) + 2OH(aq) E = -0.88V and AgBr(s) + e Ag(s) + Br(aq) E = +0.07V Which of the
Q.34. A spherical liquid drop of radius R acquires the terminal velocity v₁ when falls through a gas of viscosity η. Now the drop is broken into 64 identical droplets and each droplet acquires termina
Q.47. Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the and orbits of hydrogen atom. ______
Q.17. If the curve passes through the point and satisfies the differential equation , , then is equal to :
Q.50. A circular loop of radius 20 cm and resistance is placed in a time varying magnetic field T. At t = 0, for the plane of the loop being perpendicular to the magnetic field and, the induced curre
Q.21. Let A = {1, 2, 3, 4, 5, 6}. The number of one-one functions f: A A such that f(1) 3, f(3) 4 and f(2) + f(3) = 5, is
Q.25. The number of points, at which the function , , is not differentiable, is
Q.29. Two nuclei of mass number 3 combine with another nucleus of mass number 4 to yield a nucleus of mass number 10. If the binding energy per nucleon for the mass number 3, 4 and 10 are 5.6 MeV, 7.4
Q.57. One half cell in a voltaic cell is constructed by dipping silver rod in solution of unknown concentration, other half cell is Zn rod dipped in 1 molar solution of . A voltage of 1.60 V is measu
Q.52. If shortest wavelength of hydrogen atom in Lyman series is x, then longest wavelength in Balmer series of He is :
Q.23. Let . If the probability, that for all , is , where , then is equal to
Q.49. A three coulomb charge moves from the point (0, -2, -5) to the point (5, 1, 2) in an electric field expressed as N/C. The work done in moving the charge is ________ J.
Q.69. Match the List-I with List-II : List-I: Deficiency Disease (A) Scurvy (B) Convulsions (C) Cheilosis (D) Xerophthalmia List-II: Vitamin I. Pyridoxine II. Vitamin A III. Ascorbic Acid IV. Riboflav
Q.12. Let . Then is equal to :
Q.13. If the point of intersection of the lines and lies on xy-plane, then the value of is :
Q.58. Given below are two statements : Statement-I : The number of pairs among and that contain oxides of same nature (acidic, basic, neutral or amphoteric) is 4. Statement-II : Among and , the mos
Q.75. Consider the reaction X Y at 300 K. If and K are 28.40 kJ mol and 1.8 10 at the same temperature, then the magnitude of for the reaction in J K mol is ______.(Nearest Integer). (Given : R =
Q.49. A uniform wire of length of weight is suspended from the roof with a weight of at the other end. The stress in the wire at distance from the top is where, A is the cross sectional area of t