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BARC ME 2019: Mini Mock-5

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Question 1

The recrystallization temperature is a function of

Question 2

The structure of Fe3C in iron carbon diagram is

Question 3

In a batch of three students marks obtained in a certain test are 50, 60 and 70. The standard deviation of the marks obtained in test is

Question 4

Consider the differential equation with the boundary conditions of y(0) = 0 and y(1) = 1 The complete solution of the differential equation is

Question 5

A particle of mass m is suspended from a ceiling through a string of length l as shown in the figure and moves in the horizontal circle of radius r. Find the tension in the string.

Question 6

A pelton turbine is to operate under a net head of 800 m at 500 rpm. If a single jet with diameter 20 cm is used. The specific speed of the machine is ______.
[Take Cv = 0.98, ∅= 0.45 and overall efficiency ]

Question 7

A single acting reciprocating pump has a piston of 15 cm diameter and 22.5 cm stroke. The pump is required to deliver 0.29 m3 of water per minute at 75 rpm. If the suction and delivery heads are 3 m and 10 m respectively, then the percentage of slip of pump is

Question 8

The inlet temperature of hot water is 800K and outlet temperature is 400 K and the inlet temperature of cold water is 200 K, both are flowing at some mass flow rate. Taking counter flow heat exchanger the NTU and LMTD respectively are

Question 9

Two long parallel surface each of emissivity 0.6 are maintained at different temperatures. It is desired to reduce 80% of this radiant heat transfer by inserting thin parallel shield of same emissivity on both sides. The number of space and surface resistance are respectively __________.

Question 10

Exponential smoothening method with smoothening index 0.4 is used to determine the forecast of certain product. The demand for August, September, October and November were 210, 220, 200 and 230 units respectively. Find the forecast for the month of December if the forecast of August was 250 units.

Question 11

The problem of maximizing Z = x1 – x2 subject to constraints x1 + x2 ≤ 10, x1 ≥ 0 and x2 ≤ 5 has ___________.

Question 12

A plate made of steel (corrected endurance limit = 300 MPa) is subjected to a completely reversed axial force of 80 kN. The endurance limit for an axial loading is 20 % less than that of obtained on fatigue machine. The plate thickness (in mm) for infinite life is (take factor of safety = 3)

Question 13

An element of machine is subjected to stresses as given below σx = 150 MPa, σy = 30 MPa, τxy = 80 MPa. If the yield strength of the material is 285 MPa, the FOS as per Rankine’s Theory of failure is __________.

Question 14

Abrasive water jet machining is a process which uses slurry( abrasives +water) for machining. The material removal rate of such a process is proportional to _________, ( where Q= flow rate of abrasives and d= mean diameter of abrasives).

Question 15

An arc welding process is carried out with open circuit voltage 200 V and short circuit current of 1200 A. The power characteristics is linear and the voltage arc length relationship is given as V=48+4L(V in volt and L  in mm).For the maximum power condition find the arc length in mm

Question 16

Find the modulus of elasticity of a rod, which tapers uniformly from 30 mm to 15 mm diameter in a length of 300 mm. The rod is subjected to axial load of 5 kN and extension of rod is 0.022 mm.

Question 17

Resonance is a condition in which the system vibrates with a very large amplitude. The condition of resonance is that it occur when the frequency of the external system is

Question 18

An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively. Gear C has 80 teeth on the inner surface and 100 teeth on the outer surface. If the carrier arm AB is fixed and the sun gear A rotates at 300 rpm in the clockwise direction, then the rpm of D in the clockwise direction is

Question 19

A piston–cylinder arrangement contains a liquid–gas mixture of water at 350K. During a constant-pressure process, 550 kJ of heat is transferred to the water which results in vaporization of a part of the liquid in the cylinder. Determine the entropy(kJ/K) change of the water during this process.

Question 20

A system changes from state a to b following a rectangular path, completing a cycle. Find the heat transferred when it follows path b-a It is known that heat flow in the system and work done when it follows path a-c-b is 115 kW and 54 kW. Also the work done on the system during path b-a is 43 kW.
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