BARC ME 2019: MinI Mock-4 for ESE & GATE ME Exams

Question 1

A bank employs one person at enquiry window. On an average 15 customers arrives in an interval of 15 minutes while the person can serve 20 customers in 15 minutes. The average queue length and average time a customer spends in the system (in minutes), respectively, will be (Assume Poisson distribution for arrival rate and exponential distribution for servicing)

Question 2

For a non degenerate solution to a linear programming problem the basic variables always takes what type of values amongst all options given below

Question 3

Brinell hardness test is widely used for testing the hardness of engineering material however it make certain identaion which damage the material but still it used widely . Brinell Hardness number for load P, diamond ball diameter D mm and indentation diameter d mm is given as

Question 4

The volume of solid bounded by the surface x = 0, y = 0 and x + y + z =4 and z = 0 is

Question 5

For flow of incompressible, viscous flow two configurations are shown. The inlet velocity for the diverging nozzle (Fig (i)) and free-stream velocity for flow past the bluff body (Fig(ii)) is constant and flow is laminar. The relation regarding velocity gradients at point A and B is (. Points A and B are separation points and y is the direction normal to the surface at the point of separation)

Question 6

If Prandtl number is 0.064 and friction coefficient is 0.64, Stanton number will be equal to___.

Question 7

A 80 mm diameter circular shaft is welded to support by means of circumferential fillet weld and is subjected to torsional moment of 3 kN-m. Assume the cross section of weld consists of right angle triangle. The size of the weld (in mm) if the yield strength in tension in the weld is limited to 600 MPa is ____.(Factor of safety = 2)

Question 8

In orthogonal turning operation following conditions have been taken:

Rake angle 8⁰ ,

Axial feed 0.2 mm/rev,

Chip thickness t_c is found to be 0.4mm. the shear angle (in degree) and shear strain for turning operation.

Question 9

The shear stress distribution of a rectangular cross section of a beam follows

Question 10

Air at 25

is mixed adiabatically with air at 45

in the ratio of 2 kg of former with 3 kg of later (on dry basis). The specific humidity and specific enthalpy of former air is 0.0062 kg vap/kg dry air and 38 KJ/kg dry air and for latter 0.00192 kg vap/kg dry air and 95 KJ/kg dry air respectively. The final humidity ratio (in g vap/kg dry air) and specific enthalpy (KJ/kg dry air) respectively are

Question 11

Thermodynamic relation for the isothermal compressibility is

Question 12

The inertia force acting on the piston for the following slider crank mechanism will be :

Question 13

A 10 mm × 10 mm rod of a material is subjected to an axial pull of 4000 N. it was found that the lateral dimension of the rod changed to 9.9 mm × 9.9 mm. The Poisson’s ratio is (take modulus of rigidity of the material = 600 MPa)

Question 14

A shaft has a dimension of Φ

the respective values of upper deviation, lower deviation and mean deviation.

Question 15

Match the List-1 with List-2 and select the correct answer using the codes given below (where

)

Question 16

A metallic ball in shape of sphere is made up of steel (thermal conductivity of 35W/m-K) of diameter 0.38 m . The outside heat transfer coefficient is 15W/m². It is to be insulated with film of thermal conductivity 3W/m-K. The thickness of insulation should be

Question 17

A pipeline 60 cm diameter bifurcates at a Y-junction into two branches 40 cm and 30 cm in diameter. Mean velocity of flow in 30 cm diameter pipe is 7.5 m/s. The main pipe has a length of 300 m and a friction factor 0.024 hence the head loss is 3.81 m. The rate of flow in the 40 cm diameter pipe is

Question 18

A body of mass m kg is attached by two truss member each having a cross sectional area of 50 mm² making an angle of 30

and 60

with horizontal as shown in fig.

If the value of maximum stress in the truss is 3.4 MPa then the value of mass m (in kg) is closest to

Question 19

The tensile force subjected on a circular rod is 70KN whose diameter is 30mm and length 550mm. find the change in volume if poisson’s ratio is 0.3 and young’s modulous E=2*10⁵N/mm²

Question 20

In L-D steel making, the nature of final slag can be described as