BARC ME 2019: MinI Mock-3 for ESE & GATE ME Exams

Question 1

There are two containers with one containing 5 red and 4 green ball and other containing 4 blue and 5 green balls. One ball is drawn at random from each container. The probability that one is red and another is blue

Question 2

A rigid bar GH of length L is supported by a hinge and a spring of stiffness ‘2k’ as shown in the figure below. The buckling load, P, for the bar will be

Question 3

A 200 m long naval ship has wetted area of 4000 m². A model of this ship 8 m in length produces resistance of 100 N when velocity in fresh water with density 1000 kg/m³ is 5 m/s. The resistance R to the motion of ship is given by

Where, symbols have their usual meaning.
If the propeller efficiency is 75%, then the shaft power required to propel the ship through sea water with density 1030 kg/m³ will be

Question 4

A counter flow concentric tube heat exchanger is used to cool engine oil (heat capacity rate = 4400 W/K) from 180

to 70

with water enters at 30

. The water flows at the rate of 2 kg/s through the 0.6 m diameter inner tube. The length of the heat exchanger is (take overall heat transfer coefficient = 300 W/m²K and specific heat of water = 4200 J/kgK)

Question 5

Water (Cp= 4.18kJ/kgK, m_water= 0.3kg/sec) and air (Cp= 1kJ/kgK, m_air= 2.09kg/sec) enters a counter flow heat exchanger with overall heat transfer coefficient of 2500W/

.Find the number of transfer units if area of heat exchanger is 10

.

Question 6

A job having a processing time of 11 days is to be processed in scheduling operation. The job is to be delivered on 18^th july 2018 but the job is received on 7^th july. Find the critical ratio of the job to be processed.

Question 7

In a band brake, a rope is wrapped on a drum with angle θ = 150^o and μ = 0.4. Tension in tight side is 5 kN and radius of drum is 80 mm. Frictional torque in brake-

Question 8

In an orthogonal cutting, rake angle is zero, cutting speed and depth of cut are 60 m/min and 2.4 mm respectively. The cutting ratio is found to be 0.75. The value of chip thickness and velocity of chip relative to work-piece, respectively, is _______.

Question 9

A small element is subjected to three perpendicular stresses 300MPa, 200MPa. & 100MPa in x, y & z direction respctively. The strain energy corresponding to change of volume is (take modulus of elasticity = 200 GPa, Poisson’s ratio = 0.25)

Question 10

Identify the type of motion for a kinematic chain having following characteristics
No. of joints=4,
No. of higher pair=0
No. of links =4

Question 11

For single degree of freedom, condition for getting peak (maxima) in "magnification factor" Vs "ω / ωn" curve
The damping factor should be less than

Question 12

In a turbine, air expands from 5 bar and 600ºC to 1bar 250 ºC. During expansion 15kJ/kg is lost to the surrounding at 1bar and 15ºC. Neglecting Kinetic energy and potential energy changes. Determine maximum work per kg of air. (C_p= 1.005kJ/kgK).

Question 13

A heat engine operates between three thermal reservoirs. It absorbs 258 kJ of energy as heat from a reservoir at 52 °C and rejects 100 kJ and 88 kJ of energy as heat to reservoirs at 27 °C and 2 °C, respectively. It delivers 70 kJ of work. This heat engine,

Question 14

A cubical block of aluminum of side 220 mm is placed at a depth of 4 km in sea water. The change in the volume of block (in mm³), when placed in sea water is (take mass density of sea water is 1020 kg/m³, E_Al = 70GPa, Poisson ratio = 0.25)

Question 15

Match the following and select the correct answer using the codes given below

Question 16

In a rolling operation, thickness of strip is reduced from 6 mm to 3 mm using 250 mm diameter rolls rotating at 100 rpm. The velocity (m/sec) of strip at neutral point is?

Question 17

Consider the following statements
(i) The convection process takes place by the molecular interaction.
(ii) In metallic solids, the heat conduction takes place by the drift of free electrons.
(iii) Convection is possible only in the presence of fluid medium.
(iv) No medium is required for radiation.
Which of the following options is/are correct?

Question 18

An oil, having specific gravity 0.85 and kinematic viscosity 1 stoke, flows with undisturbed velocity of 8 m/s. A plate 0.7 m × 0.4 m is placed longitudinally in the stream of the oil. The value of shear stress at the middle of the plate is

Question 19

A block of mass m is placed on a surface with a vertical cross-section given by

If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is

Question 20

A function follows the following equation

. The Laplace transform of f(t) is ___________.