Engineering Questions
460 solved questions with detailed explanations
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.3. Let and be two distinct roots of the equation . Let the sets {a: and are the eccentricities of hyperbolas} = (, ), and {a: and are the eccentricities of an ellipse and a hyperbola, respecti
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.74. The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below: A(g) B(g) + C(g) [Table: 1/T (K⁻¹) values 0.05, 0.06
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 ________.
Q.75. If the half life of a first order reaction is 6.93 minutes then the time required for completion of 99% of the reaction will be ________ minutes. (Given: log 2 = 0.3010)
Q.70. On heating a mixture of common salt and K₂Cr₂O₇ in equal amount along with concentrated H₂SO₄ in a test tube, a gas is evolved. Formula of the gas evolved and oxidation state of the central meta
Q.50. Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the masses in the second are 104 m and 129 m, respectively. T
Q.62. Match List - I with List - II. List - I: Chromium (III) Complexes (en = ethylene diamine) A. [Cr(CN)₆]³⁻ B. [CrF₆]³⁻ C. [Cr(H₂O)₆]³⁺ D. [Cr(en)₃]³⁺ List - II: (cm⁻¹) I. 15,060 II. 17,400 III. 2
Q.41. An insulated wire is wound so that it forms a flat coil with N = 200 turns. The radius of the innermost turn is , and of the outermost turn . If 20 mA current flow in it then the magnetic moment
Q.48. A 5 mg particle carrying a charge of 5π × 10⁻⁹ C is moving with velocity of (3\hat{i}+2\hat{k})×10²m/s in a region having magnetic field B=0.1\hat{k} Wb/m². It moves a distance of a meter along
Q.30. A wedge Y with mass of 10 kg and all frictionless surfaces and the inclined surface making 37° with horizontal. A block X with mass 2 kg is placed at the highest point of the wedge as shown in [
Q.71. Consider the following species BrF₅, XeF₆, BF₃, ICl₄⁰, XeF₄, SF₄, NH₃, ClF₃, XeF₂, ICl₂⁰ Number of species having spd hybridized central atom is
Q.20. The integral is equal to :
Q.31. A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular velocity of 1200 rpm. It is brought to rest in 10 s by applyin
Q.62. The correct order of the rate of the reaction for the following reaction with respect to nucleophiles is: CHBr + Nu CHNu + Br