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GATE 2020 Toppers quiz 1 (App update required to attempt this test)
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Question 1
Air at 27 ° and 1 bar is heated at constant volume until the pressure is 5 bar and then cooled at constant pressure back to original temperature. Net decrease in entropy of the process is ______ kJ/kgK.
Question 2
A machine of 100 kg mass is supported on four springs, each of stiffness 200 N/mm. Machine has an unbalanced rotating force of 250 N at speed of 1800 rpm. Taking the damping ratio equal to 0.2, the transmissibilitng ratio is
Question 3
The velocity at point (3,3) for the stream function ψ = –xln(xy) +x will be _________.
Question 4
A hole is to be punched in a 30 mm thick plate having an ultimate shear strength of 4 MPa. If allowable crushing stress in the punch is 8 MPa, the diameter of the smallest - hole which can be punched is equal to ______ mm.
Question 5
Ratio of the buckling strength of the hollow steel column to that of solid square column of the same material, same cross section area, same length. The ratio of outer to inner diameter of hollow column is 2
Question 6
A 5 mm diameter and 4 m length steel wire is submerged in a fluid at 50oC. The conductivity and resistivity of wire is 20 W/m-deg and 70 micro-ohm-cm. If 600 amperes electric current passes through it and conductance at wire surface is 4 kW/m2-deg, then maximum temperature of the wire is
Question 7
The target date of completion of a project is the length of the critical path. The earliest occurrence of events of the tail node (i) and head node (j) of an activity, i-j, in the critical path are 7 and 10 days respectively. The free float of this activity is ______ days.
Question 8
The value of 
, where R is the region in the first quadrant bounded by the curves y = x2, x + y = 2 and x = 0 is ________.
, where R is the region in the first quadrant bounded by the curves y = x2, x + y = 2 and x = 0 is ________.Question 9
Find the minimum number of stages required when air enters at 1 bar and 27°C and delivers at 260 bar. The maximum temperature at the outlet of compressor is limited to 327°C. Take the perfect intercooling in between stages and γ = 1.3.
Question 10
For a cup drawing, the reduction ratio for first and subsequent draw not to exceed 50% and 10% respectively. For 6 draws, the overall drawing ratio will be?
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ESE & GATE MEGeneralNov 2ESE & GATE ME
