Q. A harmonic function is analytic if it satisfies the Laplace equation. If 𝑢(𝑥, 𝑦) = 2𝑥2 − 2𝑦2 + 4𝑥𝑦 is a harmonic function, then its conjugate harmonic function 𝑣(𝑥, 𝑦) is (A) 4𝑥𝑦 − 2𝑥2 + 2𝑦2 + constant (B) 4𝑦2 − 4𝑥𝑦 + constant (C) 2𝑥2 − 2𝑦2 + […]
Q. The set of equations 𝑥 + 𝑦 + 𝑧 = 1 𝑎𝑥 – 𝑎𝑦 + 3𝑧 = 5 5𝑥 − 3𝑦 + 𝑎𝑧 = 6 has infinite solutions, if a = (A) −3 (B) 3 (C) 4 (D) −4 Ans: 4 Sol: ρ(A)=ρ(AB)< no.of variables|A|=0
The set of equations 𝑥 + 𝑦 + 𝑧 = 1 𝑎𝑥 – 𝑎𝑦 + 3𝑧 = 5 Read More »
Q. Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from O. Upon loading, the stress-strain curve passes through initial yield point at P, and then strain hardens to point Q, where the loading was stopped. From point Q, the
Q. Air of mass 1 kg, initially at 300 K and 10 bar, is allowed to expand isothermally till it reaches a pressure of 1 bar. Assuming air as an ideal gas with gas constant of 0.287 kJ/kg.K, the change in entropy of air (in kJ/kg.K, round off to two decimal places) is Ans:
Q. During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean stress of +140 MPa, and a minimum stress of −70 MPa. The R-ratio (minimum stress to maximum stress) for this cyclic loading is Sol:
Q. A solid cube of side 1 m is kept at a room temperature of 32 °C. The coefficient of linear thermal expansion of the cube material is 1×10-5 / °C and the bulk modulus is 200 GPa. If the cube is constrained all around and heated uniformly to 42 °C, then the magnitude of
Q. A cylindrical rod of diameter 10 mm and length 1.0 m is fixed at one end. The other end is twisted by an angle of 10° by applying a torque. If the maximum shear strain in the rod is px10-3, then p is equal to (round off to two decimal places). Sol:
Q. A block of mass 10 kg rests on a horizontal floor. The acceleration due to gravity is 9.81 m/s2. The coefficient of static friction between the floor and the block is 0.2. A horizontal force of 10 N is applied on the block as shown in the figure. The magnitude of force of friction
Q. The table presents the demand of a product. By simple three-months moving average method, the demand-forecast of the product for the month of September is Month Demand January 450 February 440 March 460 April 510 May 520 June 495 July 475 August 560 (A) 490 (B) 510 (C) 530 (D) 536.67 Sol:
Daily Quiz on Current Affairs 30 August 2023 is very important for Competitive Exams like SSC, Railway, RRB, Banking, IBPS, PSC, UPSC, etc. Our Gkseries team have composed these Current Affairs Quizzes from Newspapers like The Hindu and other competitive magazines. Daily Quiz on Current Affairs 1. Which of the following political party did N
Daily Quiz on Current Affairs by Gkseries – 30 August 2023 Read More »
