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GATE-ME-Section-Test-7
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Question 1
The effective number of lattice points in the unit cell of simple cubic, body centered cubic, and face centered cubic space lattices, respectively, are
Question 2
A swimmer can swim 10 km in 2 hours when swimming along the flow of a river, While swimming against the flow. She takes 5 hours for the same distance. Her speed in still water (in km/h) is _______
Question 3
Three parallel pipes connected at the two ends have flow-rates Q1, Q2 and Q3 respectively, and the corresponding frictional head losses are hL1, hL2 and hL3 respectively. The correct expressions for total flow rate (Q) and frictional head loss across the two ends (hL) are
Question 4
The rotor shaft of a large electric motor supported between short bearings at both the ends shows a deflection of 1.8 mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is
Question 5
A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as state 1 and state 2 respectively. Potential and kinetic energy changes are to be ignored. The following notations are used:
v= specific volume and P = pressure of the gas.
The specific work required to be supplied to the compressor for this gas compression process is
v= specific volume and P = pressure of the gas.
The specific work required to be supplied to the compressor for this gas compression process is
Question 6
The value of logarithmic decrement is:
(Given value of c and Cc are 15 and 223.6 respectively)
Question 7
A bar having a cross-sectional area of 700 mm2 is subjected to axial loads at the positions indicated. The value of stress in the segment QR is:
Question 8
Ratio of solidification time of a cylindrical casting (height = radius) to that of a cubic casting of side two times the height of cylindrical casting is __________.
Question 9
Twenty degree full depth involute profiled 19-tooth pinion and 37-tooth gear are in mesh. If the module is 5 mm, the center distance between the gear pair will be
Question 10
Consider the following Linear Programming Problem (LPP):
Maximize z = 3x1 + 2x2
Subject to x1 ≤ 4
x2 ≤ 6
3x1 + 2x2 ≤ 18
x1 ≥ 0, x2 ≥ 0
Maximize z = 3x1 + 2x2
Subject to x1 ≤ 4
x2 ≤ 6
3x1 + 2x2 ≤ 18
x1 ≥ 0, x2 ≥ 0
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Dec 3ESE & GATE ME
