GATE Mechanical engg online test paper 6

Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is 6 and the ratio of the specific heats of the working medium is 1.4. The ratio of minimum to maximum temperatures is 0.3 (with temperatures expressed in K) in the regenerative cycle. The ratio of the thermal efficiency of the simple cycle to that of the regenerative cycle is

In a single-channel queuing model, the customer arrival rate is 12 per hour and the serving rate is 24 per hour. The expected time that a customer is in queue is _______ minutes.

The welding process which uses a blanket of fusible granular flux is

The value of true strain produced in compressing a cylinder to half its original length is

The following data is applicable for a turning operation. The length of job is 900 mm, diameter of job is 200 mm, feed rate is 0.25 mm/rev and optimum cutting speed is 300 m/min. The machining time (in min) is

In an ultrasonic machining (USM) process, the material removal rate (MRR) is plotted as a function of the feed force of the USM tool. With increasing feed force, the MRR exhibits the following behavior:

The probability that a screw manufactured by a company is defective is 0.1. The company sells screws in packets containing 5 screws and gives a guarantee of replacement if one or more screws in the packet are found to be defective. The probability that a packet would have to be replaced is

In a structural member under fatigue loading, the minimum and maximum stresses developed at the critical point are 50 MPa and 150 MPa, respectively. The endurance, yield, and the ultimate strengths of the material are 200 MPa, 300 MPa and 400 MPa, respectively. The factor of safety using modified Goodman criterion is

Consider fluid flow between two infinite horizontal plates which are parallel (the gap between them being 50 mm). The top plate is sliding parallel to the stationary bottom plate at a speed of 3 m/s.The flow between the plates is solely due to the motion of the top plate. The force per unit area
(magnitude) required to maintain the bottom plate stationary is _________ N/m2.Viscosity of the fluid μ = 0.44 kg/m-s and density p= 888 kg/m3.

A reversible cycle receives 40 kJ of heat from one heat source at a temperature of 127 degreeC and 37 kJ from another heat source at 97 degreeC. The heat rejected (in kJ) to the heat sink at 47 degreeC is __________

A food processing company uses 25,000 kg of corn flour every year. The quantity-discount price of corn flour is provided in the table below:
Quantity (kg) Unit price (Rs/kg)
1-749 70
750-1499 65
1500 and above 60
The order processing charges are Rs. 500/order. The handling plus carry-over charge on an annual basis is 20% of the purchase price of the corn flour per kg. The optimal order quantity (in kg) is

Solutions of Laplace’s equation having continuous second-order partial derivatives are called

The area (in percentage) under standard normal distribution curve of random variable Z within limits from −3 to +3 is

Which of the bearings given below SHOULD NOT be subjected to a thrust load?

Grashof number signifies the ratio of

The INCORRECT statement about the characteristics of critical point of a pure substance is that

In a wire-cut EDM process the necessary conditions that have to be met for making a successful cut are that

Internal gears are manufactured by

Match the following part programming codes with their respective functions Part Programming Codes Functions
P. G01 I. Spindle stop
Q. G03 II. Spindle rotation, clockwise
R. M03 III. Circular interpolation, anticlockwise
S. M05 IV. Linear interpolation

In PERT chart, the activity time distribution is

Steam at an initial enthalpy of 100 kJ/kg and inlet velocity of 100 m/s, enters an insulated horizontal nozzle. It leaves the nozzle at 200 m/s. The exit enthalpy (in kJ/kg) is