Q. The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship “X < Y, Z” means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is weeks. Activity Duration (Weeks) Precedence Relationship A […]

Q. The binary phase diagram of metals P and Q is shown in the figure. An alloy X containing 60% P and 40% Q (by weight) is cooled from liquid to solid state. The fractions of solid and liquid (in weight percent) at 1250 °C, respectively, will be Ans: 22.2% and 77.8% Sol:

Q. The figure shows a heat engine (HE) working between two reservoirs. The amount of heat (Q2) rejected by the heat engine is drawn by a heat pump (HP). The heat pump receives the entire work output (W) of the heat engine. If temperatures, T1 >T3 >T2 , then the relation between the efficiency (h

Q. A slender uniform rigid bar of mass 𝑚 is hinged at O and supported by two springs, with stiffnesses 3𝑘 and 𝑘, and a damper with damping coefficient 𝑐, as shown in the figure. For the system to be critically damped, the ratio 𝑐/√𝑘𝑚 should be Ans: 4√7 Sol:

Q. A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is L, Young’s modulus E, and area moment of inertia I, the magnitude of the maximum deflection is Ans: Sol: By using moment area IInd theorem

Q. A ball of mass 3 kg moving with a velocity of 4 m/s undergoes a perfectly-elastic direct-central impact with a stationary ball of mass m. After the impact is over, the kinetic energy of the 3 kg ball is 6 J. The possible value(s) of m is/are              (A) 1 kg only         (B) 6

Q. The derivative of f(x) = cos(x) can be estimated using the approximation (A) < 0.1 % (B) > 0.1 % and < 1 % (C) > 1 % and < 5 % (D) > 5 % Ans: > 0.1 % and < 1 % Sol:

Q. In an electrical discharge machining process, the breakdown voltage across inter electrode gap (IEG) is 200 V and the capacitance of the RC circuit is 50 µF. The energy (in J) released per spark across the IEG is Ans: 1 Sol:

Q. A thin vertical flat plate of height L, and infinite width perpendicular to the plane of the figure, is losing heat to the surroundings by natural convection. The temperatures of the plate and the surroundings, and the properties of the surrounding fluid, are constant. The relationship between the average Nusselt and Rayleigh numbers is