Engineering Questions — Jee Main
379 solved questions with detailed explanations
33. Eight mercury drops, each of radius r, coalesce to form a bigger drop. The surface energy released in this process is ______ (S is the surface tension of mercury).
Q.36. A metal rod of length L rotates about on end at origin with a uniform angular velocity . The magnetic field radially falls off as ; being a positive constant. The emf induced (neglecting the ce
Q.72. Consider the isomers of hydrocarbon with molecular formula C₈H₁₀. These isomers do not decolourise KMnO₄ solution. These isomers are subjected to chlorination with chlorine in presence of light
Q.56. When 0.25 moles of a non-volatile, non-ionizable solute was dissolved in 1 mole of a solvent the vapor pressure of solution was x% of vapor pressure of pure solvent. What is x% ?
Q.53. Bromine trifluoride autoionizes to form BrF and BrF. The shapes of the cation and anion are respectively _______ and _______.
Q.24. For the functions , and , , let . If the first term of a G.P. is , its common ratio is and the sum of its first 10 terms is , , then is equal to ________.
Q.47. Some distance star is to be observed by some telescope of diameter of objective lens , at an angular resolution of radian. If the wavelength of light from the star reaching the telescope is 500
Q.43. In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because (A) The size of gold nucleus is very small as compared to the size of gold atom. (B) Alpha p
Q.28. The velocity of a particle is given as . The magnitude of acceleration at point is ____ .
Q.65. Complete the following reaction sequence and give the name of major product 'P'. (Major product)
Q.71. The first and second ionization constants of H₂X are and respectively. The concentration of X²⁻ in 0.1 M H₂X solution is M. (Nearest Integer)
Q.24. Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal intercepts from the coordinate axes. If the length of the chord of C
Q.47. The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be ...
Q.54. The pairs among A = [SO, CO], B = [O, F], C = [CN, CO], D = [NH, HO] and E = [MnO, CrO] that do not have similar Lewis dot structure are :
Q.71. 5.33 g of CrCl₃·6H₂O, which is a 1 : 3 electrolyte, is dissolved in water and is passed through a cation exchanger. The chloride ions in the eluted solution, on treatment with AgNO₃, results in
Q.40. A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed v. If x is the separation between the plates at any instant, then the time rate of change o
Q.32. The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of the rim. The rim and each rod have a mass of M. Two blocks of mass of M and m are attached to two
Q.49. A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed in a uniform magnetic field of magnitude 0.4 T. The axis of the coil makes an angle of with the directi
Q.33. Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If the average kinetic energy of and molecules, kept in two different sized c
Q.56. The solubility product constants of AgCrO and AgBr are 32x and 4y respectively at 298 K. The value of can be expressed as :