Engineering Questions — JEE Main
379 solved questions with detailed explanations
Q.20. The value of the integral is:
Q.10. Let an ellipse , , pass through the point and have eccentricity . Then the length of its latus rectum is :
Q.19. Let denote the greatest integer function. Then the value of is:
Q.33. A liquid of density 600 kg/m³ flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm² and that at B is 20 mm². Both the points A and B are in same horizont
Q.54. Consider the following data for the reaction at 600 K. The (in kJ mol⁻¹) for the reaction is: [Figure: Table with A/H600K and S600K values for XY(g), X2(g), Y2(g)]
Q.37. From the circuit given below, the capacitance between terminals A and B shown in the circuit is __________ . (take and .)
Q.19. Let y = y(x) be the solution of the differential equation : , , satisfying . If , than is equal to :
Q.49. The stored charge in the capacitor in steady state of the following circuit is μC. [Figure: Circuit diagram]
Q.70. A paper dipped in a dil. HSO solution of 'X' upon treatment with SO gas turns into green. The compound 'X' is :
Q.59. The correct order of reactivity of the following benzyl halides towards reaction with KCN is: [Figure: Four benzyl halides are shown: (a) Benzyl bromide with -OH group at para position. (b) Benz
Q.63. Given below are two statements: Statement I: Crystal Field Stabilization Energy (CFSE) of [Cr(HO)] is greater than that of [Mn(HO)]. Statement II: Potassium ferricyanide has a greater spin-only
Q.59. Find the correct statements related to group 15 hydrides. A. Reducing nature increases from NH to BiH. B. Tendency to donate lone pair of electrons decreases from NH to BiH. C. The stability of
Q.63. The major product of which of the following reaction is not obtained by rearrangement reaction? [Figure: Four reaction schemes with reactants and products]
Q.48. A particle having electric charge C and mass kg is accelerated by applying an electric potential of 1.21 V. Wavelength of the matter wave associated with the particle is m. The value of is .
Q.68. Consider the three aromatic molecules (P, Q and R) whose structures have been given below : [Figure: Three aromatic molecules P, Q, R. P is 1,3,5-trimethylbenzene (mesitylene). Q is 1,2,4,5-tetr
Q.60. Given below are two statements : Statement I: The number of pairs among [Ti⁴⁺, V²⁺], [V³⁺, Mn²⁺], [Mn³⁺, Fe³⁺] and [V⁴⁺, Cr²⁺] in which both ions are coloured is 3. Statement II: The number pair
Q.50. A certain gas is isothermally compressed to rd of its initial volume ( litre) by applying required pressure. If the bulk modulus of the gas is N/m, the magnitude of work done on the gas is ____
Q.47. Some distance star is to be observed by some telescope of diameter of objective lens a, at an angular resolution of 3.0 × 10⁻⁷ radian. If the wavelength of light from the star reaching the teles
Q.55. Consider the following reactions in which all the reactants and products are present in gaseous state , , The value of for the equilibrium is :
Q.48. Two identical small bar magnets each of dipole moment J/T are placed at a center to center separation of 10 cm, with their axes perpendicular to each other as shown in figure. The value of magn