Engineering Questions
460 solved questions with detailed explanations
Q.2. The number of values of , satisfying the equations and , is :
Q.23. Let A, B be points on the two half-lines x-, a > 0 at a distance of a from their point of intersection P. The line segment AB meets the angle bisector of the given half-lines at the point Q. If
Q.39. A river of width 200 m is flowing from west to east with a speed of 18 km/h. A boat, moving with speed of 36 km/h in still water, is made to travel one-round trip (bank to bank of the river). Mi
Q.14. If and are two vectors such that and , then the maximum value of is :
Q.8. If the mean of the data Class: 5-10, 10-15, 15-20, 20-25, 25-30, 30-35 Frequency: 2, k, 28, 54, k+1, 5 is 21, then k is one of the roots of the equation :
Q.21. If the domain of the function is , then the value of is
Q.35. One gas of mole of molecules at temperature , volume , and pressure , and another gas of mole of molecules at temperature , volume , and pressure , are mixed resulting in pressure P and volume
Q.43. An electron is travelling with a velocity v in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength of electron in the medium is , where is its de B
Q.42. The maximum intensity in a Young's double slit experiment is . Distance between the slits (d) is , where is the wavelength of light used. The intensity of the fringe, exactly opposite to one of
Q.36. An ideal gas undergoes a process maintaining relation between pressure (P) and volume (V) as , where and are constants. If two samples A and B (two moles each) with initial volume and respec
Q.66. For the given molecule, "x", the preferred site for the attack of the electrophile is : [Figure: A molecule with a benzene ring substituted with a nitrogen-containing group and a carbonyl group.
Q.2. Let one root of the quadratic equation in x: be twice the other. Then the length of the latus rectum of the parabola is equal to:
Q.57. One mole each of He and A(g) are taken in a 10 L closed flask and heated to 400 K to establish the following equilibrium. A(g) B(g) K for this reaction at 400 K is 4.0. The partial pressures (i
Q.66. Given below are some of the statements about Mn and Mn₂O₇. Identify the correct statements A. Mn forms the oxide Mn₂O₇ in which Mn is in its highest oxidation state. B. Oxygen stabilizes the Mn
Q.38. A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb. If the magnitude of the electric field at centre of the half ring is 100 V/m, then the value of Q is ____
Q.58. Decomposition of A is a first order reaction at T(K) and is given by A(g) → B(g) + C(g). In a closed 1 L vessel, 1 bar A(g) is allowed to decompose at T(K). After 100 minutes, the total pressure
Q.7. A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10th floor. The number of ways, in which any 4 persons exit at a floor an
Q.59. Given below are two statements : Statement-I : Aluminium upon reaction with NaOH forms [Al(OH)₄]⁻ ion. Statement-II : The geometry of ICl₂, ClO₃⁻ and IBr₂⁻ is square planar, pyramidal and linear
Q.7. The first term of an A.P. of 30 non-negative terms is . If the sum of this A.P. is the cube of its last term, then its common difference is :
Q.46. Refer to the circuit diagram given below. The heat generated across the 6 resistance in 100 second is J. The value of is ________ (Nearest integer)