Engineering Questions — Jee Main
379 solved questions with detailed explanations
Q.58. The correct set that contains all kinds (basic, acidic, amphoteric and neutral) of oxides is :
Q.22. Let and . If the number of points where g is not continuous and is not differentiable are and respectively, then is equal to ________.
Q.31. The two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of their ranges is 1: x. The value of x is
Q.19. The area of the region {(x, y) : , , } is :
Q.37. A voltmeter with internal resistance of can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to ________
Q.72. RMgI when treated with ice cold water liberated a gas which occupied 1.4 dm/g at STP. The gas produced is further reacted with iodine in presence of , to give compound (X). Compound (X) in prese
Q.33. The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point (p) of normal bisector, as shown in the figure is ________.
Q.68. Which statements are True? A. In Hoffmann bromamide degradation, 4 moles of NaOH and 2 moles of Br₂ are consumed per mole of an amide B. Hoffmann bromamide reaction is not given by alkyl amides.
Q.23. If , and be three vectors such that and , then is equal to ________.
Q.26. Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each
Q.36. In interference experiment the path difference between two interfering waves at a point A on the screen is , where is the wavelength of these waves, and at another point B the path difference i
Q.4. Let and . If and , then among the two statements : (S1): and (S2): , (1) only (S1) is correct (2) only (S2) is correct (3) both (S1) and (S2) are correct (4) both (S1) and (S2) are wrong
Q.11. In an equilateral triangle PQR, let the vertex P be at (3, 5) and the side QR be along the line . If the orthocentre of the triangle PQR is (, ), then is equal to :
Q.9. Let a focus of the ellipse E: be S(4,0) and its eccentricity be . If the point P(3, ) lies on E and O is the origin, then the area of is equal to :
Q.29. A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon keeps moving up with the same velocity. The heigh
Q.11. If the eccentricity of the hyperbola , passing through , satisfies , then the length of the latus rectum of the hyperbola is:
Q.62. Consider |x| is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions with x number of unpaired electrons from the following are: A. Sc³⁺ B
Q.13. The square of the distance of the point P(5, 6, 7) from the line is equal to :
Q.47. An unpolarized light of intensity I passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is
Q.57. The 1st ionization enthalpy for Mg is +737 kJ/mol. The most probable estimated value of the 2nd ionization enthalpy of Mg is ______.