Engineering Questions
460 solved questions with detailed explanations
Q.67. Given below are two statements : Statement-I : Heating benzamide with bromine in an ethanolic solution of sodium hydroxide will give benzylamine. Statement-II : Nitration of aniline with at 288
Q.24. Let f: RR be a function such that f(x) + 3f(-x) = sinx, x R. Let maximum value of f on R be . If the area of the region bounded by the curves g(x) = x² and h(x) = x³, > 0, is ², then 30³ is eq
Q.51. Match List-I with List-II. List-I Mass of substance A. 1.8 mg water B. 9.8 mg sulphuric acid C. 1.8 mg carbon D. 5.85 mg salt (NaCl) List-II Number of atoms I. 2 × 10⁻⁴ × N_A II. 1.5 × 10⁻⁴ × N_
Q.2. Let and be real number such that . Then the value of is :
Q.27. The diameter of a wire measured by a screw gauge of least count cm is cm. The length measured by a scale of least count cm is cm. When a weight of N is applied to the wire, the extension in
Q.8. The mean deviation about the mean for the data [Figure: Data table with x and f values] is equal to :
Q.27. In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10V and 5 A, respectively. The least counts of voltmeter and ammeter
Q.5. The value of is:
Q.8. If , then a is equal to :
Q.45. A LCR series circuit driven with V at frequency Hz has resistance \Omega, an inductance with inductive reactance \Omega and capacitance with capacitive reactance \Omega. The power factor of
Q.48. A 1 C charge moving with velocity in the region of magnetic field . The magnitude of force acting on it is . The value of is _______.
33. Eight mercury drops, each of radius r, coalesce to form a bigger drop. The surface energy released in this process is ______ (S is the surface tension of mercury).
Q.6. Let tan A, tan B, where , be the roots of the quadratic equation . Then is equal to :
Q.36. A metal rod of length L rotates about on end at origin with a uniform angular velocity . The magnetic field radially falls off as ; being a positive constant. The emf induced (neglecting the ce
Q.72. Consider the isomers of hydrocarbon with molecular formula C₈H₁₀. These isomers do not decolourise KMnO₄ solution. These isomers are subjected to chlorination with chlorine in presence of light
Q.56. When 0.25 moles of a non-volatile, non-ionizable solute was dissolved in 1 mole of a solvent the vapor pressure of solution was x% of vapor pressure of pure solvent. What is x% ?
Q.53. Bromine trifluoride autoionizes to form BrF and BrF. The shapes of the cation and anion are respectively _______ and _______.
Q.14. The shortest distance between the lines and is:
Q.24. For the functions , and , , let . If the first term of a G.P. is , its common ratio is and the sum of its first 10 terms is , , then is equal to ________.
Q.47. Some distance star is to be observed by some telescope of diameter of objective lens , at an angular resolution of radian. If the wavelength of light from the star reaching the telescope is 500