Engineering Questions
460 solved questions with detailed explanations
Q.7. A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :
Q.39. A current carrying circular loop of radius 2 cm with unit normal \hat{n} = \frac{\hat{k}+\hat{i}}{\sqrt{2}} is placed in a magnetic field, B=B₀(3i+2k). If B₀ = 4 × 10⁻³ T and current I=100\sqrt{
Q.6. A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out of bus, scooter and car. The probabili
Q.53. Which of the following pictorial diagram most correctly represents the ( - antibonding) molecular orbital between two atoms if the internuclear axis is taken to be in the z-direction (z-axis )?
Q.39. A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0T. The magnetic intensity in SI units is . The value of is _
Q.32. The graph shows variation of stopping potential with the frequency of the incident radiation for three photosensitive metals , , and . Which metal will give out electrons with greater kinetic
Q.70. Statement I: Sodium dichromate and potassium dichromate are classified as primary standard in titrimetric analysis. Statement II : Phenolphthalein is a weak base, therefore it dissociates in aci
Q.63. R value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is 0.42. 2-methylpropene is treated with dilute HSO to give major organic product (X). R value for (X) in the same solvent
Q.53. The covalent radii of atoms A and B are r and r, respectively. The covalent bond length and total length of AB molecule are respectively :
Q.20. The value of the integral is:
Q.10. Let an ellipse , , pass through the point and have eccentricity . Then the length of its latus rectum is :
Q.19. Let denote the greatest integer function. Then the value of is:
Q.33. A liquid of density 600 kg/m³ flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm² and that at B is 20 mm². Both the points A and B are in same horizont
Q.54. Consider the following data for the reaction at 600 K. The (in kJ mol⁻¹) for the reaction is: [Figure: Table with A/H600K and S600K values for XY(g), X2(g), Y2(g)]
Q.37. From the circuit given below, the capacitance between terminals A and B shown in the circuit is __________ . (take and .)
Q.25. Let y = y(x) be the solution of the differential equation (tanx)²dy = (sec³x - (tanx)²y)dx, 0 < x < , y() = . If y() = , then equals .......
Q.73. 20 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a tube dipped in a solution (A) is found
Q.19. Let y = y(x) be the solution of the differential equation : , , satisfying . If , than is equal to :
Q.49. The stored charge in the capacitor in steady state of the following circuit is μC. [Figure: Circuit diagram]
Q.1. Let [] denote the greatest integer function. If the domain of the function is [, ), then is equal to: