Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2014 Set-2 Questions with Answer
Ques 40 GATE 2014 SET-2
The best approximation of the minimum value attained by e−xsin(100x) for x ≥ 0 is _______
Ques 41 GATE 2014 SET-2
The flatness of a machine bed can be measured using
Ques 42 GATE 2014 SET-2
The value of ∫2.54 ln(x) dx calculated using the Trapezoidal rule with five subintervals is _______
Ques 43 GATE 2014 SET-2
If there are m sources and n destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is
Ques 44 GATE 2014 SET-2
A box contains 25 parts of which 10 are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being good is
Ques 45 GATE 2014 SET-2
Consider an unbiased cubic die with opposite faces coloured identically and each face coloured red, blue or green such that each colour appears only two times on the die. If the die is thrown thrice, the probability of obtaining red colour on top face of the die at least twice is _______
Ques 46 GATE 2014 SET-2
A component can be produced by any of the four processes I, II, III and IV. The fixed cost and the variable cost for each of the processes are listed below. The most economical process for producing a batch of 100 pieces is
Ques 47 GATE 2014 SET-2
A heat pump with refrigerant R22 is used for space heating between temperature limits of −20°C and 25°C. The heat required is 200 MJ/h. Assume specific heat of vapour at the time of discharge as 0.98 kJ/kg·K. Other relevant properties is giben below. The enthalpy (in kJ/kg) of the refrigerant at isentropic compressor discharge is _______
Ques 48 GATE 2014 SET-2
A robot arm PQ with end coordinates P(0,0) and Q(2,5) rotates counter clockwise about P in the XY plane by 90°. The new coordinate pair of the end point Q is
Ques 49 GATE 2014 SET-2
A steel cube, with all faces free to deform, has Young’s modulus E, Poisson’s ratio ν, and coefficient of thermal expansion α. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature ΔT, is given by
Ques 50 GATE 2014 SET-2
In a structure subjected to fatigue loading, the minimum and maximum stresses developed in a cycle are 200 MPa and 400 MPa respectively. The value of stress amplitude (in MPa) is _______
Ques 51 GATE 2014 SET-2
A thin plate of uniform thickness is subject to pressure as shown in the figure below.
Ques 52 GATE 2014 SET-2
The relationship between true strain (εT) and engineering strain (εE) in a uniaxial tension test is given as
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