Mechanical Engineering Gate 2014 Set-2 Questions with Answer

Ques 27 GATE 2014 SET-2

A material P of thickness 1 mm is sandwiched between two steel slabs. A heat flux of 10 kW/m² is supplied to one of the steel slabs. The boundary temperatures of the slabs are 100°C and 60°C. Thermal conductivity of steel is 10 W/m·K. Considering 1-D steady state heat conduction, the thermal conductivity (k, in W/m·K) of material P is _______

Ques 28 GATE 2014 SET-2

In a concentric counter flow heat exchanger, water flows through the inner tube at 25°C and leaves at 42°C. The engine oil enters at 100°C and flows in the annular flow passage. The exit temperature of the engine oil is 50°C. Mass flow rate of water and the engine oil are 1.5 kg/s and 1 kg/s, respectively. The specific heat of water and oil are 4178 J/kg·K and 2130 J/kg·K, respectively. The effectiveness of this heat exchanger is _______

Ques 29 GATE 2014 SET-2

A project has four activities P, Q, R and S as shown below:

Ques 30 GATE 2014 SET-2

Consider the following data with reference to elementary deterministic economic order quantity model:

Annual demand = 100000 units
Unit price = Rs. 10
Inventory carrying cost per unit per year = Rs. 1.5
Unit order cost = Rs. 30

The total number of economic orders per year to meet the annual demand is _______

Ques 31 GATE 2014 SET-2

For the three bolt system shown in the figure, the bolt material has shear yield strength of 200 MPa. For a factor of safety of 2, the minimum metric specification required for the bolt is

Ques 32 GATE 2014 SET-2

A disc clutch with a single friction surface has coefficient of friction equal to 0.3. The maximum pressure which can be imposed on the friction material is 1.5 MPa. The outer diameter of the clutch plate is 200 mm and its internal diameter is 100 mm. Assuming uniform wear theory for the clutch plate, the maximum torque (in N.m) that can be transmitted is _______

Ques 33 GATE 2014 SET-2

Maximum fluctuation of kinetic energy in an engine has been calculated to be 2600 J. Assuming that the engine runs at an average speed of 200 rpm, the polar mass moment of inertia (in kg·m²) of a flywheel to keep the speed fluctuation within ±0.5% of the average speed is _______

Ques 34 GATE 2014 SET-2

Match the Machine Tools (Group A) with the probable Operations (Group B):

Ques 35 GATE 2014 SET-2

With respect to metal working, match Group A with Group B:

Ques 36 GATE 2014 SET-2

For CNC part programming, match Group A with Group B:

Ques 37 GATE 2014 SET-2

A mild steel plate has to be rolled in one pass such that the final plate thickness is 2/3^rd of the initial thickness, with the entrance speed of 10 m/min and roll diameter of 500 mm. If the plate widens by 2% during rolling, the exit velocity (in m/min) is _______

Ques 38 GATE 2014 SET-2

A hole of 20 mm diameter is to be drilled in a steel block of 40 mm thickness. The drilling is performed at a rotational speed of 400 rpm and feed rate of 0.1 mm/rev. The required approach and over run of the drill together is equal to the radius of drill. The drilling time (in minutes) is

Ques 39 GATE 2014 SET-2

A rectangular hole of size 100 mm × 50 mm is to be made on a 5 mm thick sheet of steel having ultimate tensile strength and shear strength of 500 MPa and 300 MPa, respectively. The hole is made by punching process. Neglecting the effect of clearance, the punching force (in kN) is