Engineering Questions — Jee Main
379 solved questions with detailed explanations
Q.52. Match List-I with List-II. List-I (Pair of Compounds) A. 2-Methylpropene and but-1-ene B. Cis-but-2-ene and trans-but-2-ene C. 2-Butanol and diethyl ether D. But-1-ene and but-2-ene List-II (Typ
Q.35. Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K. Keeping the temperature of one vessel constant a
Q.51. The correct order of total number of atoms of present in (A) 2 moles of cyclohexane (B) 684 g of sucrose (C) 90.8 L of dihydrogen at STP (1) C > A > B (2) C > B > A (3) B > C > A (4) B > A C
Q.34. A string A of length 0.314 m of Young's modulus is connected to another string B of length and Young's modulus both twice of those of A. This series combination of strings is then suspended fro
Q.25. Let be the solution of the differential equation , . If , then the greatest integer less than is ________.
Q.15. Let the image of the point in the line , , be . If , , is the point on such that the distance of from the foot of perpendicular from the point on is , then is equal to:
Q.7. The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any lett
Q.64. The correct increasing order of C – H(A), C – O(B), C = O(C) and C N(D) bonds in terms of covalent bond length is:
Q.38. A particle of charge q and mass m is projected from origin with an initial velocity . There exists a uniform magnetic field and a space varying electric field within the region . After travell
Q.25. If , then is equal to
Q.49. In a Young's double slit experiment set up, the two slits are kept 0.4. mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20 m is introduced in front of o
Q.20. Let be the solution curve of the differential equation , . If the curve passes through the point , then a value of is :
Q.19. Let f: R R be a differentiable function such that for all x, y R and . Then the minimum value of the function , is
Q.38. When a coil is placed in a time dependent magnetic field the power dissipated in it is P. The number of turns, area of the coil and radius of the coil wire are N, A and r respectively. For a sec
Q.16. The area of the region R = {(x,y): , } is equal to :
Q.38. Surface tension of two liquids (having same densities), and , are measured using capillary rise method utilizing two tubes with inner radii of and , where . The measured liquid heights in thes
Q.15. Let a line L passing through the point be perpendicular to both the vectors and . If is the foot of perpendicular from the origin on the line L, then the value of is :
Q.37. The frequency of oscillation of a mass m suspended by spring is v₁. If the length of the spring is cut to half, the same mass oscillates with frequency v₂. The value of \frac{v_2}{v_1} is
Q.60. Given below are two statements : Statement (I): Oxidising power of halogens decreases in the order F > Cl > Br > I, which is the basis of "Layer test". Statement (II): "Layer test" to identify B
Q.21. From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal to , where and , then is equal to ________.