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GATE 2019: Semi Syllabus Quiz-2 (App update required to attempt this test)

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Question 1

The estimated time for an activity in PERT under pessimistic, most likely & optimistic are 14, 7, 4 days. standard deviation of the activity is _____ days.

Question 2

The uniaxial yield stress of a material is 300 MPa According to von Mises criterion, the shear yield stress (in MPa) or the material is ________.

Question 3

A bar is subjected to forming process such that the final length is 4 times that of initial length.The true strain produced in the bar is

Question 4

The torque applied on the shaft is 1600 N-m. If the modulus of rigidity of the shaft is 80GPa then the value of torsional stiffness is

D=40mm d=20mm L=1m

Question 5

Select the correct statement for 50% reaction stage in a steam turbine ________.

Question 6

If the ordered quantity is 25% more than that corresponding to EOQ, then % change in total inventory cost is ______.

Question 7

A simple band brake as shown below, has a drum diameter of 500 mm. The drum rotates at 300 rpm. The angle of wrap is 270 °.

Find, the minimum force (in N) for its direction required at the end of the brake lever to stop the drum, if 50 kW power is to absorbed

Question 8

The voltage length characteristic of a direct current (dc) arc is given by
V = (20 + 40 L) Watts
Where, L is the length of the arc in cm. The power source characteristic is approximated by a straight line with an open circuit voltage = 80 V and a short circuit current = 1000 amp. The optimum arc length is _________ (in cm).

Question 9

A water mains 140 cm inner diameter contains water at a pressure head of 200 m. The minimum thickness of the metal shell required for the water mains, given that maximum permissible stress in the metal is 400 kg/cm², will be ___ mm.

Question 10

A machine part of mass 2 kg vibrates in viscous medium, angular frequency at resonance condition is found to be 10π rad/s. If a harmonic exciting force of 25 N produces 1.25 cm. Find the stiffness of the system in N/m.

Question 11

A Carnot steam cycle operates between a source at temperature of 311.6 °C, pressure 10 MPa and sink temperature of 32.88 °C and pressure 5 kPa. Related table is given below

$Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\11_IC-Engine-PPMS_BLok1_files\image037.jpg$

Work ratio of the carnot cycle will be

Question 12

A transportation problem consists of 2 sources and 3 demand centers. Each cell represents the cost of transportation per unit. After no. of iterations using VAM, the transportation cell matrix is as given

Determine the total cost of transportation of units ?

Question 13

A journal bearing has journal diameter of 70 mm, and a length of 70 mm. If the rotational speed of journal is 1800 rpm, average viscosity of liquid lubricant is 0.04 Pa.s and difference in the radius of journal and bush bore is 0.04 mm then the torque loss will be ________ Nm.

Question 14

Steel bar ABC 16m long having cross-sectional area $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image100.png$ weigth 40 N as shown in the figure. If the modulus of elasticity for the bar material is 200 GPa. The deflction at B is
$Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image101.png$

Question 15

Air enters an adiabatic nozzle at 20 bar and 50 °C with a velocity of 80 m/s and leaves with a velocity of 300 m/s. If the area ratio of the nozzle is 4 : 1. The exit pressure (in bar) of the air is
[Take C_p = 1.0 kJ/kgK for air]

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