Engineering Questions
460 solved questions with detailed explanations
Q.46. In single slit diffraction pattern, the wavelength of light used is 628 nm and slit width is 0.2 mm, the angular width of central maximum is degrees. The value of is _______.
Q.12. Let be a directrix of an ellipse E, whose centre is at the origin and eccentricity is . Let , , be a focus of E and AB be a chord passing through P. Then the locus of the mid point of AB is :
Q.32. A smooth inclined plane ends in a vertical circular loop, as shown in the figure. A small body is released from height as shown. If the body exerts a force of three times its weight on the plan
Q.63. Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial concentration of reactants. Which of the following s
Q.52. Given below are two statements : Given : Molar mass of C, H, O, Cl are 12, 1, 16 and 35.5 g mol⁻¹, respectively. Statement I : In 30%(w/w) solution of methanol in CCl₄ (at T K), the mole fractio
Q.64. Compound (X) is subjected to the sequence of reactions as shown above. Molar mass of the major product (Y) formed is ______ gmol⁻¹. (Given molar mass in g mol⁻¹ C : 12, H : 1, O : 16) [Figure: R
Q.10. A bag contains coins – fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is , then is equal to:
Q.35. A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in the figure. For small oscillations the time period is __________. (g is acceleration due to gravity) [Figu
Q.21. Let satisfy for some . Then is equal to ________.
Q.61. Given below are two statements for catalytic properties of transition metals : Statement I: First row transition metals which act as catalyst utilise their 3d electrons only for formation of bon
Q.10. If a straight line drawn through the point of intersection of the lines and , meet the co-ordinate axes at the points P and Q, then the locus of the mid point of PQ is:
Q.18. Let , , be a A. P. and be the minimum value of . Then the value of the integral is:
Q.67. Consider the following sequence of reactions [Figure: Reaction scheme starting with phenol, reacting with (i) Cu/573 K, (ii) H, PhCOOH to give product P]. The major product P is :
Q.36. Two short electric dipoles A and B having dipole moment and respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point x is
Q.62. Given below are two statements : Statement I: Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower boiling points in fractional distillation. Statemen
Q.42. An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at and , respectively, with respect to the horizontal axis. A third polarize
Q.71. First and second ionization enthalpies of lithium are 520 kJ mol and 7297 kJ mol respectively. Energy required to convert 3.5 mg lithium (g) into Li(g) [Li(g) Li(g)] is ______ kJ mol. (nearest
Q.69. Match List-I with List-II. List-I: Vitamin A. Vitamin B₁ B. Vitamin B₂ C. Vitamin B₆ D. Vitamin C List-II: Name I. Pyridoxine II. Ascorbic acid III. Thiamine IV. Riboflavin Choose the correct an
Q.30. A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is and its radius is 4 mm, then maximum acceleration the lift can take is ________ . (
Q.39. Two identical long current carrying wires are bent into the shapes shown in the following figures. If the magnitude of magnetic fields at the centres P and Q of a semicircular arc are and resp